f(x) = 4x – 1
g(x) = x2 - 3x + 5

Answers

Answer 1

5914 1404 393

Answer:

  f(1) = g(1) = 3

  f(6) = g(6) = 23

Step-by-step explanation:

Perhaps you want to know the solutions to ...

  f(x) = g(x)

Substituting the function definitions, this is ...

  4x -1 = x^2 -3x +5

  0 = x^2 -7x +6 . . . subtract 4x-1

  0 = (x -6)(x -1) . . . factor the equation

Solutions are x = 1 and x = 6, the values that make the factors zero.

The corresponding function values are ...

  f(1) = 4(1) -1 = 3

  f(6) = 4(6) -1 = 23

Solutions for y = f(x) = g(x) are (x, y) = (1, 3) and (6, 23).

F(x) = 4x 1g(x) = X2 - 3x + 5

Related Questions

C Evaluate 7 . 2.7. 5 using the properties of numbers by matching each step with the property used. = 7.7.2.5 Choose... = (7-7) (2 - 5) Choose... = 49 - 10 Distributive Property Fir Commutative Property Please answer all parts of Closure Property Transitive Property Simplify. Associative Property 7.2 7.5= Substitution Property​

Answers

Answer:um this is hard i will give you the answer give me a sec

Step-by-step explanation:

The data represented by the following stem-and-leaf plot range from
to
2189
3 504
4 127
5 36
A. 29; 53
B. 28; 56
C. 28; 53
D. 29, 56
SUBMIT

Answers

Answer:

28;56

Step-by-step explanation:

According to the stem-and-leaf plot, the range of the data represented by the stem-and-leaf plot is 63.

To determine the range of the data represented in stem and leaf plot, we need to look at the smallest and largest values. The smallest value is obtained by taking the smallest leaf in the plot, which is 36, and adding it to its corresponding stem (5). So, the smallest value in the data set is 536.

Next, we look for the largest value, which is found at the bottom of the last stem. In this case, the last stem is 5, and the largest leaf is 9. Therefore, the largest value in the data set is 599.

Now that we have the smallest and largest values, we can calculate the range by subtracting the smallest value from the largest value:

Range = Largest Value - Smallest Value

Range = 599 - 536

Range = 63

So, the answer is Answer: C. 28; 53

To know more about stem and leaf plot here

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What is the slope of line that passes through the points -2,4 and 1,-1​

Answers

Answer:

-5/3

Step-by-step explanation:

-2 to 1 =3   x=3

4 to -1=5   y=-5

y/x      slope=-5/3 or -1  2/3

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!!!!!!

Answers

Answer:

D. Whole Numbers

Whole numbers only contain 0 on, with no negatives, fractions, or decimals.

Please mark me Brainliest, I need it to move onto the next level.

Will give brainliest for the first and the correct answer.

Answers

Answer:

x=4

Step-by-step explanation:

Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.

Answer:

A.) x = 4

Step-by-step explanation:

If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:

[tex]\frac {(4+20)} {2} = 12[/tex]  which is equal to 3(4).

Find the product

(7+2u) (7-2u)

Options:

a) 49+4u

b) 49-4u(square root sign)

c) 4u(square root sign) - 49​

Answers

Answer:

b

Step-by-step explanation:

if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.

Answer:

          b)  [tex]\boxed{\bold{(7+2u)(7-2u)=49-4u^2}}[/tex]

Step-by-step explanation:

[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]

The sum of two numbers is 25. The larger number is four times the smaller number. Find the numbers.

Answers

Answer:

5+20=25

Step-by-step explanation:

ok so 20/4 is 5 and 20 +5=25

so the only possible answer is 5+20=25

Hope this helps please give brainliest

2m=-6n-5

Solve for M

Answers

Hey :)


m= -3n -5/2

The equation is in standard form
2m = −6n −5


Divide both sides by 2
2m/2 = -6n-5/2


Dividing by 2 undoes the multiplication by 2
m= -6n -5/ 2


Divide −6n−5 by 2
m= -3n -5/2

Hope this helps :)

m= -3n -5/2

What is mathematical equation?

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

In the given equation,

2m = −6n −5

Divide by 2 on both sides, we get

2m/2 = −6n/2 −5/2

m = -3n - 5/2

Therefore, our value of m is in terms of n, which is -3n - 5/2

Read more about mathematical equation here:

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Solve 7 - 2x = x - 14

Answers

Answer:

7 = x

Step-by-step explanation:

7 - 2x = x - 14

7 + 14 = x + 2x

21 = 3x

7 = x

Hope this helps!

Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and finds that the solutions temperature increases by 2C every minute. This graph shows the temperature change 30 20 Time (minutes) Which point is on his graph? A. (3,20) B. (5,21) C. (22,4) D. (1,14)

Answers

Answer:

C. (3,20)

Step-by-step explanation:

Answer:(3,20)

Step-by-step explanation:

Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and finds that the solutions temperature increases by 2C every minute. This graph shows the temperature change 30 20 Time (minutes) Which point is on his graph? A. (3,20) B. (5,21) C. (22,4) D. (1,14)

Scientists use a temperature unit called the kelvin. For example, the boiling
point of water at sea level occurs at 373.16 kelvins, written 373.16 K. The
formula K=5/9(F + 459.67), where K is the temperature in kelvins and F is the
temperature in degrees Fahrenheit, can be used to convert Fahrenheit
temperatures to kelvins.

Answers

Answer: F = 9/5K - 459.67

A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model

Answers

Answer:

The answer is "40 square feet".

Step-by-step explanation:

The formula of the area:

[tex]\bold{A = (2L \times 2W)}\\\\[/tex]

    [tex]= 4LW \\\\[/tex]

if:

[tex]\to 4A = 160 \\\\[/tex]

         [tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]

find the value of: ​

Answers

Answer:

the value is 6

Step-by-step explanation:

substitue

Giving this if someone can help me with this problem. After Becca's half-marathon, her pedometer showed 23,580 steps, while Alex recorded 2.42 x 10⁴ steps after the same race. What is the combined amount of the steps?

Answers

explanation:

23,580 + 2.42 x 10⁴ = 47,780

btw i don’t want that thing lol

Answer: 47,780 steps

Step-by-step explanation: For Alex's steps, we'll need to move the decimal four places to the right, and once you do that you should get 24,200. Add 24,200 and 23,580 together and you should get 47,780 steps.

ALGEBRA I
1
MODULE 1
A clothing company sells hats online to its customers. The price of each hat is p dollars. The
shipping cost is s dollars. The equation shown below can be used to find the total cost (c), in
dollars, when n hats are purchased.
C = np + S
A. Kayla bought two hats from a clothing store company for $9.99 each.
The cost of shipping for each order is $1.79. Write an equation that
can be used to find the total amount Kayla spent.
1
(use this space for work or to explain)
Equation:
(1 Pt)

Answers

Answer: C = (2)(9.99) + 1.79

C = $21.77

Step-by-step explanation:

Answer:

23.56

Step-by-step explanation:

2(9.99)+2(1.79)

Given m 1= 65, find the measure of each missing angle.Givd your reasoning

Answers

Answer:

Step-by-step explanation:

Given:

m∠1 = 65°

Since. ∠1 and ∠2 are the angles of linear pair,

m∠1 + m∠2 = 180°

65° + m∠2 = 180°

m∠2 = 115°

m∠1 = m∠3 [Vertical angles]

m∠3 = 115°

Since, ∠1 and ∠4 is the linear pair of angles,

m∠1 + m∠4 = 180°

65° + m∠4 = 180°

m∠4 = 180 - 65 = 115°

m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]

115° + m∠5 = 180°

m∠5 = 180° - 115° = 65°

m∠5 + m∠6 = 180° [Linear pair of angles]

65° + m∠6 = 180°

m∠6 = 115°

m∠5 = m∠7 [Vertical angles]

m∠5 = m∠7 = 65°

m∠6 = m∠8 [Vertical angles]

m∠6 = m∠8 = 115°


What two perfect squares does 11 sit in
between?

Answers

I think the answer is 9 and 16

Write the equation of a line with slope 2 and y-intercept −1.
Pls I need help with this quick

Answers

Answer:

[tex]y=2x-1[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

The question provides both the slope m=2 and the y-intercept b=-1.

Thus, substituting:

[tex]\boxed{y=2x-1}[/tex]

Can someone please help me.

Answers

Answer:

linear

Step-by-step explanation:

to be a linear equation it needs to have consistent rate of change for x and y. its constant for x at +4 but not for y at +16 +8 and +16

Non linear because the change in the y axis is not constant

HHHHHEEEEELLLLLPPPPP. MMMMMEEEEE

Answers

Answer:

Sorry if I’m wrong but is it ... 90???

Step-by-step explanation:

Answer:  B) 89

========================================================

Work Shown:

The given list is {95, 89, 99, 85, 82, 81, 99}

Sort this list from smallest to largest.

We then have this: {81, 82, 85, 89, 95, 99, 99}

Next we will erase the first and last items in that sorted list above

Doing so leads to this smaller list: {82, 85, 89, 95, 99}

Repeat the step from before. Erase the first and last items

We now have {85, 89, 95}

One more time lets erase the first and last items getting {89}

This shows that 89 is the very center item

Going back to {81, 82, 85, 89, 95, 99, 99} we see that 89 is at the center with three items below it (81,82,85) and three items above it (95,99,99)

Therefore, the median is 89.

----------------------------------

Another route to take is to count the number of items in {81, 82, 85, 89, 95, 99, 99}. You should count 7 items.

Add 1 and divide by 2 to get (7+1)/2 = 8/2 = 4

The median is in slot 4, which is exactly where 89 is located in the list {81, 82, 85, 89, 95, 99, 99}

Note: this trick only works if you have an odd number of items in a set.

What is the area of a circle with a diameter of 8 cm?

256 cm^2
64 cm^2
8 cm^2
16 cm^2

Answers

Answer is 50.24, but it is not given in the option

Multiply 2.89x 23.2 =​

Answers

2.89 x 23.2
289 x 232 = 67048
67.048

67.048

In solving for y in the equation, what is the first step? -6x+3y=12

Answers

Answer:

Step-by-step explanation:

-6x+3y=12

You have to separate y from the other terms.

So add (-6x) to both sides and you'll get:

3y=6x+12

helppppppp asaaaaap
8 fiction books
3 non-fiction books
4 historical drama books
Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book?
a.0.8
b.0.267
c.0.2
d.0.533

Answers

Answer:

0.2 (C)

Step-by-step explanation:

8 + 3 + 4 = 15

3 divided by 15 equals 0.2.

3 represents non-fictions books and 15 represents total amount of books.

Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.

Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.



The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.

Answers

Answer:

1.The width of the new gym is 40

2.The length and width of the new gym are  

times the length and width of the old gym 2

Answer:

The width of the new gym is 40 meters.

The length and width of the new gym are 2 times the length and width of the old gym.

Step-by-step explanation:

7(x−5)−9=334 what is the answer of x

Answers

Answer:

[tex]\boxed {x = 54}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]7(x - 5) - 9 = 334[/tex]

-Use Distributive Property:

[tex]7(x - 5) - 9 = 334[/tex]

[tex]7x - 35 - 9 = 334[/tex]

-Combine like terms:

[tex]7x - 35 - 9 = 334[/tex]

[tex]7x - 44 = 334[/tex]

-Add both sides by [tex]44[/tex]:

[tex]7x - 44 + 44 = 334 + 44[/tex]

[tex]7x = 378[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7}= \frac{378}{7}[/tex]

[tex]\boxed {x = 54}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]54[/tex].

solve simultaneous equations 4x+2y=7
3x-5y=-24

Answers

Answer:

x= -1/2

y= 4.5

Step-by-step explanation:

4x+2y=7

3x-5y=-24

First either make the x or y's the same. It is easier here to make the y's the same.

Multiply each of the first equation by 5 and the second one by 2.

x5   4x+2=7   x5 = 20x+10y=35

x2   3x-5y=-24  x2= 6x-10y=-48

20x+10y=35

6x-10y=-48         +both equations

26x=-13

/26

x=-1/2

Now substitute to find y.

4(-1/2)+2y=7

-2+2y=7

+2

2y=9

/2

y= 4.5

Hope this helped :)

Evaluate the expression when c=4. c2 +6c+8

(the 2 after the c is one of those mini high 2's.)​

Answers

Answer:

48

Step-by-step explanation:

A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
7,884 pounds
O 8,034 pounds
O 8,294 pounds

Answers

Answer:

8034

Step-by-step explanation:

C'mon!!.... easyyyy

309x26 =8034

Which choice shows the following rational numbers in order from least to greatest?

1.6
9/10
15/8
190%
1 1/2


I will give BRAINLIEST!!!!!!!

Answers

Answer:

It is A trust.

Step-by-step explanation:

9/10 is the lowest because it is the only number that isn't whole then 1 1/2 cause it is one and a half with is equivalent 1.5 then 1.6 15/8 because it is 1 7/8

then 190% because it is the largest number

Answer:

tfgvb

Step-by-step explanation:

tfgcv

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