find 5 consecutive odd integers if the sum of the first 3 integers more than the sum of the last 2

Answers

Answer 1

The five consecutive odd integers are 11, 13, 15, 17 and 19.

What are odd integers?

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Odd numbers are whole numbers that cannot be divided exactly into pairs.

Therefore, odd integers are integers that cannot be divided exactly into pairs.

Hence, let's find five consecutive odd integers if the sum of the first three integer is 3 more than the sum of the last 2.

let

the first odd integer = x

x + x + 2 + x + 4 = x + 6 + x + 8 + 3

3x + 6 = 2x + 17

3x - 2x = 17 - 6

x = 11

Therefore, the consecutive odd integers are 11, 13, 15, 17 and 19.

learn more on odd integers here; https://brainly.com/question/10807545

#SPJ1


Related Questions

A recording studio charges musicians an additional fee of $50 to record an album studio time cost in additional fee of $75 per hour


write a lean your model that represents the cost C of recording an album as a function of studio time in hours.

use the variable T to represent the number of hours recording studio is used.


Is less expensive to purchase 12 hours of recording time at the studio or a 750 music software program that you can use to record on your own computer

Answers

The equation that will be used to illustrate the information regarding the total cost is C = 50 + 75h.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Initial fee = 50

Amount charged by hour = 75

Number of hours = h

The total cost will be:

= Initial fee + Amount for each hour

= 50 + 75(h)

= 50 + 75h

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

need help with geometry​

Answers

According to the concept of polynomial division, the equivalent expression is option (a). x+7 + 26/(x-3)

Polynomial division

Polynomial division refers the process of dividing one polynomial with another.

Given,

Here we have the expression (x² + 4x + 5) / x - 3.

Now, we have to find the equivalent polynomial expression when x - 3 is not equal to 3.

In order to find the equivalent expression, we have to do the following steps:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

Repeat this 4 steps until no further division.

This process is illustrated below.

According to this process, the equivalent fraction for the given fraction is

x + 7 + 26/(x - 3)

To know more about Polynomial division here.

https://brainly.com/question/12520197

#SPJ1

Find a so that the point (-1,5) is on the graph of f(x)=ax^2+2

Answers

Answer:

a=3

Step-by-step explanation:

To find a, you plug the known numbers into the given equation (coordinates). f(x) is the same as the y-coordinate.

With that, you get:

5=a(-1)^2+2

Then you solve for a

3=a(-1)^2

3=a(1)

3=a

Sophie put $3330 in a savings account at a simple interest rate of 7.4% per year. Adam put $2795 in a savings account at a simple interest rate of 8.1% per year.

Who will have earned more interest after 5 years? How much more?

Answers

Adam earned $100.12 more interest than the Sophie

Consider Sophie

The principal amount = $3330

The interest rate = 7.4%

The time period = 5 years

Simple interest = PRT

Where P is the principal amount

R is the interest rate

T is the time period

Substitute the values in the equation

Simple interest = 3330× (7.4/100) × 5

= $1232.1

Consider Adam

The principal amount = $2795

The interest rate = 8.1%

The time period = 5 years

Simple interest = 2795 × (8.1/100) × 5

= $1131.98

The difference = 1232.1 - 1131.98

= $100.12

Hence, the Adam earned $100.12 more interest than the Sophie

Learn more about simple interest here

brainly.com/question/11564235

#SPJ1

Use the digits -9 to 9 to complete the puzzle below. Try all the combinations. But as you begin doing that, you will realize that in some cases you are looking for factor combinations with a particular sum or difference. You will see that some numbers have to be greater than a particular value in order to produce the product you are looking for. Show your work to confirm your solution.

Answers

According to the concept of complex numbers, the solution function is (5 - 6i) (2 + 4i) = (34 + 8i)

Complex numbers:

Complex numbers means a combination of a real number and an imaginary number.

The standard form of complex number is,

a + ib

Where a complex number, where a,b are real numbers and i = √-1.

Given,

Here we have the following complex number expression

(_ + _i) (_ + _i) = 34 + 8i

Here we need find the value of the dashes and the number must lies between -9 to +9.

Let us consider a, b, c and d as the number presented in the dashes then it can be written as,

=> (a + bi) (c + di)

Now, we have to expand this expression then we get,

=> ac + adi + bci + bdi²

Combine the like terms,

=> (ac − bd) + (ad + bc)i

Now, we have to match the coefficients as,

30 < ac − bd < 80

We also know that,

=> ad + bc = 0

Now, we need to pick four integers between -9 and 9 such that these two equations are satisfied.  

We also know that

=> ac − bd = 34

=> ad + bc = 8

Therefore, it makes sense to assume b is negative.  

After some trial and error, one possible answer is a = 5, b = -6, c = 2, d = 4

Therefore, the expression is written as,

=> (5 - 6i) (2 + 4i) = (34 + 8i)

To know more about Complex number here.

https://brainly.com/question/20566728

#SPJ1

You have 100 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Note: The length of the sum of three sides is 100. Let w be the width, find the length in terms of w, setup an equation for the area, then find the vertex (maximum) of your equation. Area of rectangle is length * width.

Answers

The length and width of the rectangular plot that will maximize the area are 50 feet and 25 feet respectively.

The vertex (maximum) of this equation is equal to 1,250 square feet.

How to calculate the area of a rectangle?

Mathematically, the area of a rectangle can be calculated by using this formula:

A = lw

Where:

A represents the area of a rectangle.w represents the width of a rectangle.l represents the length of a rectangle.

Since one side of this rectangular plot along the river does not require fencing, the perimeter equation is given by:

P = 2(l + w)

100 = 2w + l      

Making length the subject of formula, we have:

l = 100 - 2w

Therefore, the area of this rectangular plot would now be:

A = (100 - 2w)w

A = 100w - 2w²

Next, we would take the first derivative and equate to zero in order to obtain the maximum area:

dA/dw = 100 - 4w

0 = 100 - 4w

4w = 100

Width, w = 25 feet.

For the length of this rectangular plot, we have:

Length, l = 100 - 2w

Length, l = 100 - 2(50)

Length, l = 50 feet.

Now, we can find the vertex (maximum) of this equation is given by:

Maximum area = 50 × 25

Maximum area = 1,250 square feet.

Read more on area of a rectangle here: brainly.com/question/25292087

#SPJ1

Square of 10^4 is ?

Answers

Answer= 10^2

As proof 10^2 times 10^2=10^4

Refer to this exponent sheet for future problems

There are three consecutive odd integers.Three times the largest is seven times the smallest. What are the integers?

Answers

The three consecutive odd intergers are 3,5 and 7

What do you mean by algebraic expression ?

An algebraic expression is the idea of ​​using letters or alphabets to represent numbers without specifying the actual values. Algebra Basics taught us how to use letters like x, y, and z to represent unknown values. These characters are called variables here.

An algebraic expression can be a combination of variables and constants. Any multiplied value that is prefixed to a variable is a factor.

Let the three consecutive odd integers are x, x+2 and x+ 4

Here x is the smallest odd integer and x+4 is the largest odd integer

According to the question:

3(x +4) = 7x

3x + 12 = 7x

7x - 3x = 12

4x = 12

x = 12/4

x = 3  

Three consecutive odd integers become:

x = 3

x + 2 = 3 +2 = 5

x + 4 = 3 + 4 = 7

Hence, the three consecutive odd intergers are 3,5 and 7

To learn more about the algebraic expression from the given link.

https://brainly.com/question/28036476

#SPJ4

Select the correct answer. Identify the end behavior and the zeros of function h. h ⁡ ( x ) = - x 3 − 9 ⁢ x 2 + 4 ⁢ x + 96 Based on these key features, which statement is true about the graph representing function h? A. The graph is negative on the intervals ( - 3 , 4 ) and ( 8 , ∞ ) . B. The graph is positive on the intervals ( - 8 , - 4 ) and ( 3 , ∞ ) . C. The graph is negative on the intervals ( - ∞ , - 8 ) and ( - 4 , 3 ) . D. The graph is positive on the intervals ( - ∞ , - 8 ) and ( - 4 , 3 ) .

Answers

The statement which is true about the graph representing function h is the graph is positive on the intervals (- ∞, - 8) and (- 4, 3). Option D is correct.

We are given;

h(x) = -x^3 - 9x^2 + 4x + 96

The function is a cubic function.

Since the leading coefficient is negative the graph start from second quadrant.

So, the graph must be positive in the second quadrant.

Let us check the option D;

The graph is positive on the intervals (- ∞ , - 8) and (- 4, 3).

The graph is positive in the second quadrant. So, (- ∞ , - 8) satisfy.

Let's choose any point between -4 to 3 and substitute in the given equation.

Put x = -1 in the given equation;

h(x) = -(-1)^3 - 9(-1)^2 + 4(-1) + 96 = 1 - 9 - 4 + 96 = 84

So, h(x) is positive.

So, option D is correct.

Thus, the statement which is true about the graph representing function h is the graph is positive on the intervals (- ∞, - 8) and (- 4, 3). Option D is correct.

To learn more about cubic function visit:

https://brainly.com/question/27274079

#SPJ1

help plsssss
Function f is an exponential function.

x 2 3 4 5 6
f(x) 9 27 81 243 729
What is the ratio of outputs for any two inputs that are 2 units apart? Divide the output for the larger x-value by the output for the smaller x-value.

Answers

Answer: 9

Step-by-step explanation:

The ratio of two outputs for any two input values that are 2 units apart is

27

What is a ratio?

Ratio refers to fractions of two numbers say a and b written in the form

a / b

How to find the required expression

The problem involves dividing the output for the larger x-value by the output or the smaller x-value

choosing output for x = 3 and x = 6, the two values are 2 units apart

the outputs are y = 27 and y = 729 respectively

taking the ratios

= 729 / 27

dividing gives the lowest term of the fraction

= 27 / 1

= 27

Hence dividing the output values for x = 3 and x = 6 is 27

Learn more about ratios here:

https://brainly.com/question/29395324

#SPJ1

How many 2/5 can go into 1/2?

Answers

1 since 2/5 = 0.4 and 1/2 is 0.5

Match the equations with the value of x that makes them true. 2(2x − 3) = 6 5x − 2x − 4 = 5 x + 2x + 3 = 9 5(x + 3) = 25 4x − (2x + 1) = 3 5x − (3x − 1) = 7

Answers

Each of the equations should be matched with the value of x that makes them true as follows:

x = 2; x + 2x + 3 = 9, 5(x + 3) = 25, and 4x − (2x + 1) = 3.

x = 3; 2(2x − 3) = 6, 5x - 2x - 4 = 5, and 5x − (3x − 1) = 7.

How to determine the true equations?

In order to determine which x-values are true solutions based on the given equations, we would have to test each of the values of x by substituting them into the equations as follows;

When x = 2, we have:

2(2x − 3) = 6

4x − 6 = 6

4(2) - 6 = 6

8 - 6 = 6

2 = 6 (False).

When x = 3, we have:

2(2x − 3) = 6

4x − 6 = 6

4(3) - 6 = 6

12 - 6 = 6

6 = 6 (True).

When x = 2, we have:

5x - 2x - 4 = 5

3x - 4 = 5

3(2) - 4 = 5

6 - 4 = 5

1 = 5 (False).

When x = 3, we have:

5x - 2x - 4 = 5

3x - 4 = 5

3(3) - 4 = 5

9 - 4 = 5

5 = 5 (True).

When x = 2, we have:

x + 2x + 3 = 9

3x + 3 = 9

3(2) + 3 = 12

9 = 12 (False).

When x = 3, we have:

x + 2x + 3 = 9

3x + 3 = 9

3(3) + 3 = 12

12 = 12 (True).

5(x + 3) = 25

5x + 15 = 25

5x = 25 - 15

5x = 10

x = 2 (True).

4x − (2x + 1) = 3

4x - 2x - 1 = 3

2x = 3 + 1

2x = 4

x = 2 (True).

5x − (3x − 1) = 7

5x - 3x + 1 = 7

2x = 7 - 1

2x = 6

x = 3 (True).

Read more on equation here: https://brainly.com/question/24291977

#SPJ1

Five hours and 20 minutes after a raft left a dock, a patrol boat left the dock and traveled in the same direction as the raft. The boat caught up to the raft 20 km away from their starting point. What was the speed of the raft if the speed of the patrol boat was 12km/hr ?

Answers

The speed of the raft was 2.86 km/hr.

What is speed?

Speed is defined as the rate of change of position of an object in any direction.

Given that, a patrol boat with speed of 12 km/hr caught a raft after travelling for 20 km and patrol boat left the dock after 5 hours and 20 minutes the raft left,

The time taken by the patrol boat to catch the raft is;

t = 20/15 = 5/3 hours

5/3 hours = 1 hour 40 minutes

Thus, it took 1 hour 40 minutes for the patrol boat to catch the raft

Thus, the raft was travelling for 5 hours 20 minutes plus 1 hour 40 minutes which 7 hours,

The speed of raft = 20/7 = 2.86 km/hr

Hence, The speed of the raft was 2.86 km/hr.

For more references on speed, click;

https://brainly.com/question/7359669

#SPJ1

A football team ran four plays. The first play lost 5 yards. The second play lost 9 yards. The third play gained 12 yards. The last play lost 8 yards. Find the total gain or loss of yards. Select the correct integer.A football team ran four plays. The first play lost 5 yards. The second play lost 9 yards. The third play gained 12 yards. The last play lost 8 yards. Find the total gain or loss of yards. Select the correct integer.

Answers

The total loss of yards is 10yards(-10yards)

What is addition of negative and positive integers?

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

There are positive integers e g 1,2,3,5,7,8,11,16 and negative integers -1,-2,-4, -22 e t c

The addition of a negative and positive integers of the same number will give 0 .i.e -5+(+5)=0

similarly -6+(+6)= 0

if the lost yards are represented by negative and the gained yards by positive then,

-5yards-9yards-8yards = -22yards

+12 yards is gained

therefore the total yards lost or gained is

-22+12= -10yards

since it is -10yards then the yards are lost yards.

learn more about integers from

https://brainly.com/question/17695139

#SPJ1

a track coach creates an obstacle course for his team. the coach plots the locations of the three obstacles on the coordinate plane shown to the right. each unit on the coordinate plane represents three yards. a student starts at Obstacle A. Then runs south to obstacle b, and then runs west to obstacle c. what is the total distance, in yards, the student runs to get from obstacle a to obstacle c?

Answers

The Total Distance is 51 yards.

What are Coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).

Given:

As, A and B have same x- coordinate

AB = | (y- coordinate of A) - (y- coordinate of B)|

     = |5 - (-2)|

     = 7

and, B and C have same y- coordinate

AB = | (x- coordinate of B) - (x- coordinate of A)|

     = |3 - (-7)|

     = 10

Then, Total distance= 7+ 10= 17

and, Total distance in yards = 17 x 3= 51 yards

Learn more about Coordinates here:

https://brainly.com/question/27749090

#SPJ1

Ms. High brought each class a shout-out box. The
length of the box was 2.6 inches and the width was
0.8 inches. What is the area of the shout-out box?

Answers

2.08 inches.
Unimportant, but what is a shout-out box?

A jewelry store buys a necklace for $75. They decide to mark the necklace up 55% and put it in their store. The store is running a promotion that everything purchased during the month of February will be 15% off. A customer comes in with a coupon that gives them an additional 10% off the sale price (after all other discounts were applied). After all discounts customers will be changed an 8% sales tax. Determine the final cost of the necklace if the customer bought the necklace February 28th and March 1st.

Answers

The final cost of the necklace if the customer bought it on February 28th or March 1st is $96.05 or $113, respectively.

How is the final cost determined?

The final cost of the necklace purchased on February 28th includes the markup and excludes the promotional and coupon discounts, before adding the sales tax.

Similarly, the final cost of the necklace purchased on March 1st includes the markup and excludes the coupon discount, before adding the sales tax.

February 28 Purchase:

Cost price to the store = $75

Markup =55%

Marked-up selling price = $116.25 ($75 x 1.55)

February sales discount = 15%

Promotional price during February = $98.81 ($116.25 x 1 - 15%)

Discount coupon rate = 10%

Discounted price = $88.93 ($98.81 x 1 - 10%)

Sales tax = 8%

Final selling price = $96.05 ($88.93 x 1.08)

March 1 Purchase:

Cost price to the store = $75

Markup =55%

Marked-up selling price = $116.25 ($75 x 1.55)

Discount coupon rate = 10%

Discounted price = $104.63 ($116.25 x 1 - 10%)

Sales tax = 8%

Final selling price = $113 ($104.63 x 1.08)

Thus, the customer pays an additional $16.95 if they purchase the necklace on March 1st without the promotional discount, instead of February 28th.

Learn more about the total cost with discounts at https://brainly.com/question/26250840

#SPJ1

15.75 + .5x = 16.53 - .13x

Answers

15.75+.5x = 16.53-.13x
Subtract 15.75 from both sides
.5x= 0.78-.13x
Add .13x to both sides
0.63x= 0.78
Divide .63 to both sides
x equals approximately 1.238

find slope intercept form and graph (-3,0) and (-3,-7)

Answers

Answer:

x = -3

Step-by-step explanation:

Slope = Rise/Run

Slope = Difference in y/Difference in x

Slope = -7/0

Slope = undefined (can not divide by 0)

This means that this is a vertical line

What is the slope of the line 8x + 3y = 8 – 2x?

Answers

The slope of the line, 8x + 3y = 8 – 2x, is -10/3

Determining the slope of the equation of a line

From the question, we are to determine the slope of the given equation.

The given equation is

8x + 3y = 8 – 2x

To determine the slope of the line, we will express the equation in the general form of the slope-intercept form of the equation a line.

The general form of the slope-intercept form of a line is

y = mx + b

Where m is the slope

and b is the y-intercept

Expressing the equation in the slope-intercept form of a line

8x + 3y = 8 - 2x

Subtract 8x from both sides of the equation

8x - 8x + 3y = 8 - 2x - 8x

3y = 8 - 10x

3y = -10x + 8

Divide through by 3

3y/3 = -10x/3 + 8/3

Y = -10/3 x + 8/3

By comparison,

m = -10/3

Hence, the slope is -10/3

Learn more on Determining the slope of a line here: https://brainly.com/question/17493507

#SPJ1

(a) Write an equation representing the fact that the product of two consecutive odd Integers is 143. Use x to represent the smaller
integer.
(b) Solve the equation from part (a) to find the two integers.

(a) The equation is

Answers

The equation representing the fact that the product of two consecutive odd Integers is 143 is x(x+2) = 143 where x represents the smaller number and the value of x is 11 or -13.

According to the question,

We have the following information:

The product of two consecutive odd Integers is 143.

Now, let's take the smaller integer to be x.

Now, next consecutive odd integer:

(x+2)

So, we have the following expression:

x(x+2) = 143

[tex]x^{2} +2x = 143\\[/tex]

[tex]x^{2} +2x -143 = 0[/tex]

[tex]x^{2}[/tex]+13x-11x-143 = 0

Taking x as the common factor from first two terms and -11 from the last two terms:

x(x+13)-11(x+13) = 0

(x-11)(x+13) = 0

x-11 = 0 and x+13 = 0

x = 11 or x = -13

Next odd integer = 13 or -11

Hence, the equation representing the fact that the product of two consecutive odd Integers is 143 is x(x+2) = 143 where x represents the smaller number and the value of x is 11 or -13.

To know more about consecutive odd integer here

https://brainly.com/question/4249096

#SPJ1

A standard die is rolled. Find the probability that the number rolled is less than 3. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

Answer:

When a die is rolled, here it's Total possible outcome is= 6

and sample space is = 2 ( i.e. 1 & 2)

So. Probability of getting less than 3 =  26

=13

That's it.

Step-by-step explanation:

The compression ratio in a certain engine is 7.5 to 1. If the expanded volume of a cylinder is 45 cu in., what is the
compressed volume?

Answers

If the expanded volume of a cylinder is 45 in³ , then the compressed volume is 6 in³ .

In the question ,

it is given that ,

the compression ratio in a certain engine is 7.5 : 1 .

the expanded volume of a cylinder is = 45 in³ .

we have to find the compressed volume of the cylinder ,

let the compressed volume of the cylinder be = v .

the above situation can be represented as

7.5 : 1 = expanded volume : compressed volume

7.5/1 = 45/v

7.5 = 45/v

v = 45/7.5

v = 6 cubic inches .

Therefore , If the expanded volume of a cylinder is 45 in³ , then the compressed volume is 6 in³ .

Learn more about Ratio here

https://brainly.com/question/1865618

#SPJ1

Kakashi is filling his new bookshelf. The shelf holds 40 books. If he fills the bookshelf 4/5 of the way, how many books will Kakashi need?

Answers

Answer: 8 books

Step-by-step explanation:

First, she has 40 books.

1) Then she fills 4/5 of it. 4/5 of 40 is 32.

2) (4/5) x (40) = 32.

3) 40 - 32 = 8

4) So she needs to add 8 books.

Hope this helps :)

What is the answer to c?

Answers

Answer:

The answer is 6.5

Step-by-step explanation:

The equation is y=3x-1. Plug in 2.5 as the value for x and solve.

3×2.5=7.5

7.5-1=6.5

If I have a pack of cards and 20 are red, 20 yellow, 20 green and 10 blue, how many cards are needed to be drawn (at random) to ensure that I have 12 cards of the same color?

Answers

The number of cards that are needed to ensure that you have 12 cards of the same color is of:

43 cards.

How to guarantee that there are at least one color has 12 cards?

The highest number of cards for which at least one color having 12 cards is not guaranteed is obtained as follows:

11 red. (there are 20 red cards, so it is possible to take 11).11 yellow. (there are 20 yellow cards, so it is possible to take 11).11 green. (there are 20 green cards, so it is possible to take 11).10 blue, as there are only 10 blue cards.

Hence the number is:

11 + 11 + 11 + 10 = 3 x 11 + 10 = 33 + 10 = 43 cards.

With the next card, that is, the 44th card, it will be ensured that at least one color will have 12 cards.

More can be learned about amounts at https://brainly.com/question/15878751

#SPJ1

Graph the equation 4x−5y=1 by plotting points.

Answers

y=4/5x-2/5 is the equation used to plot the graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is 4x−5y=1

Four times of x minus five times of y equal to one

4x−5y=1

Let us write this equation in slope intercept form

-5y=1-4x

5y=-2+4x

y=-2/5+4/5x

y=4/5x-2/5

x       0         1        2         3

y       -2/5    2/5    6/5     10/5

y       -0.4     0.4     1.2     2

by using these points we plot the graph.

Hence y=4/5x-2/5 is the equation used to plot the graph.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

can someone simplify 2\sqrt(6 and 3\sqrt(54))ft

Will mark brainliest

Answers

Answer:

2/sqrt6 = sqrt6/3

3/sqrt54 = sqrt6/6

2/sqrt6 + 3/sqrt54

= sqrt6/2

Step-by-step explanation:

Simplifying when there are radicals involved usually means "rationalizing".

Rationalizing means getting rid of the square root on the bottom of a fraction.

See image.

Find the sum using (+) and (-) chips: -5+1

Answers

Answer: The answer is -4

If you use the chips to help illustrate your point, here's a good way to explain it:

Let's say that there are five -1 chips and one +1 chip. In order to use chips, you would have to subtract the chips from each other. Put a -1 chip and a +1 chip together and then take them away (as to subtract them). This would leave you with four -1 chips, thus giving you your answer.

Hope this helps!

Answer:

when two different signs are in numbers if +or_ you I'll substruct or +or+ you I'll added ok

Find g(x), where g(x) is the translation 10 units up of f(x) = 8x - 10.
Write your answer in the form mx + b, where m and b are integers.

Answers

The translated function is g(x)= 8x+0

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is an association between inputs in which each input is connected to precisely one output. A domain,  range exists for every function.

An example of a rule is a function, which produces one output for a single input.

Given:

f(x)= 8x - 10

Now,  translation 10 units up

Thus, g(x)= f(x) + 10

g(x)=  8x - 10+ 10

Hence, g(x)= 8x+0

To Learn more about function from the link:

brainly.com/question/10439235

#SPJ1

Other Questions
Limericks about Marbury vs Madison Which expression represents the product of 3 and 7? 7 3 7 + 7 + 7 37 3 7 As a fraction in simplest terms, what would you multiply the first number by to getthe second?First number: 79Second number: 65 Double jeopardy, self-incrimination and due process are all critical parts of which amendment?. Does anyone know how to solve this?(2x^2)-6x+9 can be written in the form (a(x-b)^2)+c where a b c can be written as integers or fractions in their simplest form.a) work out the values of a b cb) using your answer to part a), solve (2x^2)-6x+9=12.5. give any fractions or surds in your answers in their simplest forms. Examples of proper nouns are?FridaySpringRobert Downey Jr.WestfieldTablePresidentAvengers: The End GameThanksgivingMicrowave A perfectly competitive industry is in a state of long-run equilibrium. Which of the following must be true?a. P = MR = MC > ATC.b. P = MR = MC = AVC.c. P = MR = MC = ATC.d. P > MR = MC = AVC. In lab we applied the conservation of energy to a system to allow us to equate the initial energy to the final energy. How does the initial energy become stored in the system?. If a firm decides to eliminate a product line that produces a yearly net loss of $21000 its yearly net income The molar mass of Si is 28.09 g/mol.How many atoms are in 112 g of Si? what is financialization? what are its five facets? what are the processes and effects of these facets? explain. what is a good answer to ape theory The diseases that cause considerable morbidity in adolescents and young adults are: A. heart diseases. B. lung diseases. C. sexually transmitted diseases. Determine the largest integer value of a in the solution of the following inequality.4x+6 -13 the average temperature over the past 1000 years has been about 15 c . from the graphs, you can conclude that earth's average temperature during the past 800,000 years has __________. Suppose you are standing in the aisle of a bus that travels along a straight road at 100km/h and you have a pencil still above your head. Then relative to the bus the velocity of the pencil is 0km/h, and relative to the road the pencil had a horizontal velocity of What is the value sin?question options:A. 5/13B. 13/5C. 12/13D.5/12 what was the main factor that led to racial derision between the white settlers in california territory and the hispanic-americans who already lived therenited states in 1832 What is the mass (in grams) of 25.00 L of propane vapor (C3H8) atSTP? R= 0.08314 L-bar/mol. K. adapted from The Underdogsby Mariano Azuela"So we're in Limon, eh, the famous Demetrio Macias' country, eh? Do you hear that, Lieutenant? We're in Limon. I'll wager you know Macias the bandit, old woman? I was in the pen with him at Escobedo, once.""Come on, Sergeant, tell the corporal outside to unsaddle the horses and feed them. Were staying here tonight.Suddenly a white shadow loomed on the threshold."Demetrio Macias!" the sergeant cried as he stepped back in terror.The lieutenant stood up, silent, cold and motionless as a statue."Make them leave!" the woman croaked.2Select the correct answer.How does the setting influence plot in the text? A. It is where a well-known jail is located. B. It is where the soldiers barracks are located. C. It is where a rare type of horse is found. D. It is where an important character lives.