A. F(x) = -x^7+4x^3-2x^2B. F(x)= x^9+12x^8+x^7C. F(x) =x^8+4x^4+20x^2D. F(x) = -x^6+x^3-x^2

No, a function whose input value is time of day and whose corresponding output value is temperature at that time of day, rounded to the nearest degree is not a one-to-one function.

A one-to-one function is also referred to as an injective function and it can be defined as special type of function in which every element of the range is mapped to exactly a single element of its domain. This ultimately implies that, the output values (y-values) of a one-to-one function never repeat themselves.

Additionally, a one-to-one function maps distinct elements of its domain (y-values) to distinct elements of the range (x-values) and as such, it connotes the mapping of two (2) sets.

In this context, we can reasonably and logically deduce that this function is not a one-to-one function because it fails the horizontal line test as there could be the same temperature at different times of the day.

Read more on one-to-one function here: https://brainly.com/question/24144999

#SPJ1

Explanation:

To determine if the table is proportional or not, we need to find the ratio between x and y for each of the data. if it is constant, then it is proportional

Proportional relationship:

y = kx

k = constant of proportionality

k = y/x

for the x = 7, y = 8.4

k = 8.4/7 = 1.2

for x = 11, y = 13.2

k = 13.2/11 = 1.2

for x = 20, y = 24

k = 24/20 = 1.2

for x = 25, y = 30

k = 30/25

k = 1.2

when x = 100, y = 120

k = 120/100

k = 1.2

Since the ratio between y and x is the same for all, the table is proportional

The correct option:

The

The linear equation can be written as:

y = (3/4)*x + 17/4

And the graph can be seen at the end.

A general linear equation is of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

Here we have the slope m = 3/4, so we get:

y = (3/4)*x + b

And the line passes through (1, 5), replacing these values in the equation we get:

5 = (3/4)*1 + b

5 - 3/4 = b

20/4 - 3/4 = b

17/4 = b

So the linear equation is:

y = (3/4)*x + 17/4

To graph the line we need other point, if we use x = 0 we get:

y = (3/4)*0 + 17/4 = 17/4

Then we have the points (1, 5) and (0, 17/4).

To graph the line, we just need to find these two points and connect them with a line, the graph can be seen below.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The total money that is earned on Thursday is $1090

From the question, we have the following table of values

                                   Monday         Tuesday          Wednesday

Plumber A                       2                    8                           8

Plumber B                       4                     7                           10

Plumber C                       3                     9                         9

Using the given parameters in the question, we have the following system of equations

2a + 8b + 8c = 1400 --- (1)

4a + 7b + 10c = 1660--- (2)

3a + 9b + 9c = 1650 --- (3)

Subtract equation (2) from twice equation (1)

So, we have

(4a + 16b + 16c = 2,800) - (4a + 7b + 10c = 1,660)

This gives

9b + 6c = 1140 --- (4)

Subtract four times equation (3) from three times equation (2)

So, we have

12a+ 21b +30c = 4,980 -(12a + 36B + 36c = 6,600)

This gives

-15b - 6c = -1,620 --- (5)

Add equations (4) and (5)

(9b + 6c = 1140) + (-15b - 6c = -1620)

So, we have

-6B = -480

Divide by -6

b = 80

Substitute b = 80 in -15b - 6c = -1,620

-15 x 80 - 6c = -1,620

Evaluate

-1200 - 6c = -1,620

So, we have

-6c = -420

Divide

c = 70

In (2), we have

4a + 7b + 10c = 1660

This gives

4a + 7 * 80 + 10 * 70 = 1660

Evaluate

4a = 400

Divide

a = 100

On Thursday, we have

a = 4, b = 6 and c = 3

So, we have

Total = 4 * 100 + 6*80 + 3*70

Evaluate

Total = 1090

Hence, the total earnings is 1090

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

ANSWER

EXPLANATION

We have that Sarah got a $60 gift card to use in Walmart.

This means that everything she can buy cannot be worth more than $60 (i.e. less than or equal to $60).

She buys orange juice for $4.50 and she wants to buy shirts (which cost $2.29 each)

Let n be the number of shirts Sarah wants to buy.

This means that the cost of n shirts is $2.29n.

Recall that she can only spend less than or equal to $60. This means that the sum of the cost of the orange juice and n shirts is less than or equal to $60.

That is:

That is the inequality that represents the situation.

1) Whenever we have problems that deal with the real distance and distance on the map, we can write out the following formula:

So, let's call the Real distance "R". Note that in this question, 1 centimeter represents 20 kilometers

2) So, in order to plug that as the scale we need to convert kilometers to centimeters:

3) Finally, we can plug that into the formula and cross multiply the ratios this way:

Converting it back to kilometers we can write:

Answer:

The value of the given expression is;

Explanation:

Given the logarithmic expression;

To solve, Recall the rules of logarithm;

Apply the above rules;

Aplplying rule 2;

Therefore, the value of the given expression is;

A 220lb person on earth would weigh 23.81lb on moon

Given

Weight of an object on moon varies same as that on the planet earth

This means the weights are directly proportional

Weight of person on earth = 162.7lb

Weight of person on moon = 27.66lb

Also,

Weight of person on earth = 220lb

We need to find weight of this person on moon.

Let weight of person on moon be x

According to the data equation can be formed as

27.66 x 220 = 162.71x

3885.2 = 162.71x

x= 23.81

Hence the weight of the person on moon is 23.lb

Learn more about weights at

https://brainly.com/question/10069252?referrer=searchResults

#SPJ1

r: {8, 3, 4, 7}

Explanation:

y = |x|

domain = -8, -3, 4, 7

domain are the x values or input

r = range

Range are the y values or output

when x = -8

y = |-8| = 8

when x = -3

y = |-3| = 3

when x = 4

y = |4| = 4

when x = 7

y = |7| = 7

r: {8, 3, 4, 7}

blank 1 = 8

blank 2 = 3

blank 3 = 4

blank 4 = 7

Answer: 55

Step-by-step explanation: It makes sense

Answer

7 years

Explanation

Given:

Principal, P = $10,000

Rate, R = 6.75%

Amount, A = $15,000

What to find:

The years will it take the investment to reach $15,000 in value.

Step-by-step solution:

You need to first calculate the total interest on the investment using;

Interest, I = Amount, A - Principal, P

Interest, I = $15,000 - $10,000

Interest, I = $5,000

The final step is to find the years it takes the investment to reach $15,000 in value using simple interest formula.

Putting the values of the parameters into the formula, we have;

Therefore, it will take 7 years for the investment to reach $15,000 in value.

Answer:

There is no picture.

Step-by-step explanation:

If you ask a question, be mindful that people cannot read each other minds.

Answer:

4.number 1

5.number 2

Step-by-step explanation:

4.Because the the expression tan can be written as sin divided by cos it will be beneficial to write the square of cos as cos multiplied by cos so that after canceling out we are left with cos multiplied by sin of the left hand side.

5.because transforming cos squared to 1-sin squared will allow us to to have a fraction where both the numerator and denominator are the same which equals one.

THE TRICK IS TO FIND THE VALUE OF X AND Y FIRST.

I WILL USE SUBSTITUTION TO SOLVE THIS SYSTEM OF EQUATIONS.

[tex]y = 4 - 2x......(3)equation[/tex]

[tex]2x - (4 - 2x) = 8 \\ 2x - 4 + 2x = 8 \\ 2x + 2x = 8 + 4 \\ 4x = 12 \\ \frac{4x}{4} = \frac{12}{4} \\ x = 3[/tex]

[tex]y = 4 - 2(3) \\ y = 4 - 6 \\ y = - 2[/tex]

THEN FOR 3X-Y PLUG IN THE VALUES YOU FOUND FOR X AND Y

[tex] = 3(3) - ( - 2) \\ = 9 + 2 \\ = 11 \\ 3x - y = 11[/tex]

ATTACHED IS THE SOLUTION

Quadrilateral ABCD has coordinate

A(-4, 3) , B(-3, 6) C(0,8) & D(-2,5)

so we will find the length of the sides

for CD

as we can see AB and CD is not equal to Quadrilateral is not equal.

now we compute the midpoint of the diagonals

midpoint of

Based on the given figure, the area of the figure can be found to be 126.50 cm²

The figure given is a mix of a triangle and a rectangle. The area of the figure can then be found by finding the area of the triangle and the rectangle individually, and then summing them up.

The area of a rectangle is:

= Length x Width

= 8 x 11

= 88 cm²

The area of the triangle is:

= 1/2 x base x height

= 1/2 x 11 x 7

= 38.5 cm²

The area of the figure is:

= 88 + 38.5

= 126.50 cm²

Find out more on area at https://brainly.com/question/25292087

#SPJ1

A function is even if

A function is odd if

For the given question, we will test for both even and odd conditions

Step 1: Test for an even condition

Step 2: Test for an odd function

Given:

x > 3 and x < 5

The inequality compound is:

The length of ladder is L = 42 foot.

The distance between base of building and ladder is b = 8.5.

Determine the measure of angle by using the trigonometry.

So measure of angle is 78.3 degree.

Answer:

See below

Step-by-step explanation:

If I did the math numbers correctly :  ( a = 51° too)

Step-by-step explanation:

The Answer

I hope you are doing well and I don't want to be a part of this the only reason why you would want this

Answer:

Step-by-step explanation:

To factor the following polynomial, break the expression into groups:

The grouping method can be used to factor polynomials whenever a common factor exists between the groupings. Just find families easier-to-factor groups that we can better approach the problem.

Then, factor it using factor by grouping:

The luckiest person is Clinton because it is more likely.

Answer: Clinton

Answer:

Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.

Step-by-step explanation:

Answer:

17 53/60

Step-by-step explanation:

To answer this question, we need to remember that a ratio is a comparison of two or more units. We can also need to have into account that these units must be in the same units.

We have one of the quantities is 6ft, the other is equal to 78 inches. We can convert 6ft to its equivalent in inches, or 78 inches into its equivalent in feet. Then, we have:

Then, we can conclude that the ratio of 6feet (72 inches) to 78 inches is equivalent to: