HELP ASAP
Given f(x)= -5x +2 and g(x)= x +4, find (f •g)(x)

Answers

Answer 1

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[tex]f(x) = - 5x + 2[/tex]

[tex]g(x) = x + 4[/tex]

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[tex](f \times g)(x) = f(x) \times g(x)[/tex]

[tex](f.g)(x) = ( - 5x + 2)(x + 4)[/tex]

[tex](f.g)(x) = - 5 {x}^{2} - 20x + 2x + 8 \\ [/tex]

[tex](f.g)(x) = - 5 {x}^{2} - 18x + 8 [/tex]

Done...

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Answer 2

Answer:

f (x+4) = -5x -18

Related Questions

Determine the slope of a line that is Perpendicular to the line that goes
through the points (-3, 8) and (-9,3)

Answers

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (- 9, 3)

m = [tex]\frac{3-8}{-9+3}[/tex] = [tex]\frac{-5}{-6}[/tex] = [tex]\frac{5}{6}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{6} }[/tex] = - [tex]\frac{6}{5}[/tex]

find the slope and the y intercept 2x+y-2=0

Answers

Answer:

Slope: -2; Y-intercept: 2

Step-by-step explanation:

To find the slope, you can rewrite the equation into standard form:

2x+y-2=0

2x+y=2

y=2-2x

The slope is the coefficient of x, which is -2. The y-intercept is the other number, which is 2.

Step-by-step explanation:

gradient= ‐2

y‐ik intercept=2

explanation: rearrange the equation to make y your subject

from the equation , you already know that ‐2 is m (from the equation y=mx +c , whereby m is your gradient) which means ‐2 is your gradient.

from your equation you would also know that 2 is your y‐intercept. also from the equation y=mx+c is your UK intercept

there you go now may I ask you when you are curious about a certain happening like what breakfast that's give you more energy or what is the fastest route from your house to school what will you do?​

Answers

Answer:

Idk. I will probably find a faster route to school and research abt which foods give u more energy...... IDK

Step-by-step explanation:

Help please!! Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:

y=mxtb right? so... y= 0+8

Step-by-step explanation:

i think so right? im sorry if im wrong

Which describes the slope of the given line?

A. undefined

B. positive

C. zero

D. negative​

Answers

Answer:

A. underlined

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negative, because it is slightly decreasing (going down as it goes right).

Positive would be slanting up

Undefined would be vertical.

Zero would be horizontal.

It has a negative slope.

When looking at graphs, which of the following statements is true about functions? If each vertical line passes through only one point, it is a function. Each vertical line must pass through at least two points to be a function. If there are more than 3 points on the graph it is not a funcion. A function cannot be represented on a graph.

Answers

Answer:

If each vertical line passes through only one point, it is a function.

Step-by-step explanation:

The true statement about functions:

-If each vertical line passes through only one point, it is a function.

What is function?

"It is a relation between a set of inputs and a set of possible outputs."

What is vertical line?

"Any line parallel to the Y-axis"

What is vertical line test?"It is a method that is used to determine whether a given relation is a function or not.""This test states that, any vertical line in the plane can intersect the graph of a function at most once".

For given question,

We need to determine where the given graph represents a function or not.

When we look at graphs,

Using vertical line test,

If any vertical line intersects the graph more than once, then the graph is not a function.

Therefore, the true statement about functions:

-If each vertical line passes through only one point, it is a function.

Learn more about the graph of a function here:

https://brainly.com/question/27757761

#SPJ2

HELPP asappppppp plss

Answers

Answer:

1. standard form

2. slope-intercept form

3. point-slope form

4. horizontal

5. vertical

Find the Domain and Range of the graph below

Answers

Answer:

Domain:2,4,-6,-1,5

Range:-2,3,-1,0

Step-by-step explanation:

Range is your y axis and domain is your x-axis

For range the number 3 was repeated twice so you only have to put it once

PLEASE HELP AND SHOW HOW YOU GOT THE ANSWER PLEASEEE

Answers

Step-by-step explanation:

Hey there!

The points are; A(-2,3) and B(X,-5). And the distance between them is (√80) units.

We have;

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Keep all values.

[tex] \sqrt{80} = \sqrt{ {(x + 2)}^{2} + {( - 5 - 3)}^{2} } [/tex]

Squaring on both sides.

[tex] { (\sqrt{80}) }^{2} = ( { \sqrt{( {x + 2)}^{2} + ( { - 8)}^{2} } )}^{2} [/tex]

Simplify them.

[tex]80 = ( {x + 2)}^{2} + 64[/tex]

[tex]( {x + 2)}^{2} = 80 - 64[/tex]

[tex]( {x + 2)}^{2} = 16[/tex]

[tex]( {x + 2)}^{2} = {4}^{2} [/tex]

Cancel square from both sides.

[tex]x + 2 = 4[/tex]

X= 4-2

Therefore, X= 2.

The x-coordinate of B is 2.

Hope it helps....

(80)2=((x+2)2+(−8)2)2

Simplify them.

80 = ( {x + 2)}^{2} + 64

80=(x+2)2+64

( {x + 2)}^{2} = 80 - 64

(x+2)2=80−64

( {x + 2)}^{2} = 16(x+2)2=16

( {x + 2)}^{2} = {4}^{2}

(x+2)2=4^2

Cancel square from both sides.

x + 2 = 4

X= 4-2

Therefore, X= 2.

The x-coordinate of B is 2.

what is
[tex] {y}^{2} = 44[/tex]
can anyone help me pls​

Answers

Answer: check picture

Solving Steps:

Please I need help, anyone?

Answers

Answer:

i do not know

Step-by-step explanation:

the length of a side of a square is 8x+4.If the perimeter of the square is 80 inches, what is they value of x?

Answers

Answer:

Step-by-step explanation:

Note: Perimeter = sum of all the lengths of the shape.

In the case of a square, since all the sides are equal.

This means that if one side = 8x + 4, the perimeter would be 4 times 8x+4 since there are 4 equal sides in a square.

Perimeter = 4 ( 8x + 4)

Perimeter = 32x + 16

We also get told in the question that the perimeter = 80 inches.

Meaning that:

32x + 16 = 80

From here we can solve for x.

Subtract 16 from both sides:

32x = 80 - 16

32x = 64

Divide both sides by 32 to solve for x.

x = 64/32 = 2


PLZZZZ YALLLL I NEEDDD HELPPPPP

Answers

I'm pretty sure its 17. If 11+7=18

The number of years that Zach has been on the soccer team is 2 less than 5
times the number of years that Anderson has. In total, the boys have been on
the soccer team for 10 years. How long has each boy been on the soccer team?

Answers

Answer:

Brad has been on the team for 8 years. Apply that and that means that Anderson has been on the soccer team for 2 years.

Step-by-step explanation:

I dont know how to explain lol i made an equation and figured it out

Step-by-step explanation:

let x be the number of years that Zach has been on the soccer team and y the number of years Anderson has been on the soccer team.

So, reading our problem it seems that

x=5y-2

x+y=10

replacing x on the second formula we take that 5y-2+y=10

6y-2=10

6y=12

y=2

so x=5y-2=5*2-2=10-2=8

the cost of 4 pounds of grapes is $24.36.wgat is the constant of proportionality
A.6.09
B.20.36
C.8.12
D.28.36​

Answers

The answer
A:6.09

Th explanation
Divide 24.36 by 4 and that’s what you get

-8≤8+y for the solution?

Answers

Answer:

- 16 ≤ y

Step-by-step explanation:

- 8 ≤ 8 + y

- 8   -8

- 16 ≤ y

Answer:

Y>-16

The > is a greater than or equal to i just can’t put it in since I’m on my phone

Step-by-step explanation:

If you’re solving for y that should be the answer

Finding the Area of a Triangle

Answers

Answer: 1, 3, 6

Step-by-step explanation:

A student was given lines mand n and was asked to construct a line parallel to n through point B. The illustration shows the initial condition and the student's partially
finished construction. All of the arcs in the illustration were constructed with the compass set at the same setting.

Answers

Answer:

C. Reset the compass to distance CD

Step-by-step explanation:

Which ordered pair is a solution to this equation?
2x + 3y = 16
A. (3, 2)

B. (7, 2)

C. (5, 2)

D. (11, 1)

Answers

Answer: c

Step-by-step explanation:

(5,2)

2(5)+3(2)=16

10+6=16

16=16

6x-5 = -6(x+2)

I keep getting an incorrect fraction answer please help

Answers

Answer:

x = -7/12 or -0.583.. repeating.

Step-by-step explanation:

6x-5= -6(x+2)

___________ (distributive property)

(to group like terms)

6x-5 = -6x-12

___________ (addition poe) (add 6x on both sides to cancel -6 out)

+6x +6x

___________

12x-5 = -12

__________

+5 +5 (addition poe) (add 5 to both sides to cancel -5 out)

__________

12x = -7

__________

÷12 ÷12 (division poe) (divide both sides by 12 to get x)

x = -7/12

please help asap

mixed numbers

solve the following statement by rewriting the mixed numbers as the sum equal parts.

2 4/7 ÷6


A.[tex]\frac{4}{21}[/tex]
B.[tex]\frac{3}{7}[/tex]
C.[tex]\frac{8}{21}[/tex]
D.[tex]\frac{7}{3}[/tex]

Answers

Answer:

0.4285

Step-by-step explanation: That’s what Siri told me✊✊✊‍♂️

Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?

negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units

Answers

Take a picture of the problem

a leftward shift of the supply curve for widgets, ceteris paribus will cause equilibrum price to


A. Rise and equilibrium quantity to rise


B. fall and equilibrium quantity to fall


C. Rise and equilibrium quantity to fall


D. Fall and equilibrium quantity to remain unchanged

Answers

Answer: c. Rise and equilibrium quantity to fall

Step-by-step explanation:

The supply curve shows the relationship that exists between the price of a product and the quantity that's been sold by the consumer.

A leftward shift of the supply curve for widgets implies that there's a reduction in the quantity supplied. Since there's a reduction, there'll be few widgets which will lead to increase in equilibrium price and fall in the quantity.

x/6 = 3/8
(7th grade math, i need an answer fast!!!

Answers

Answer:

9/4

Step-by-step explanation:

x/6 = 3/8

or, 8x = 3*6

or, x = 18/8

or, x = 9/4

True or false? The circle above is 4 Square units.

Answers

Here you go :)

Hey, don't second guess yourself ok, you got this!!

The answer is True

________

Answered by James

Jasmine needs to solve the equation 9x + 12 = 3(x-8). Which
equations represent a first step Jasmine could use to solve the original
equation? Select all that apply.

Answers

Answer:

To find the value of x

1. Solve what it is in the parentheses

2. Combine like numbers on each side of the equation if is possible

3. Subtract 12 on both sides of the equation

4. Subtract 3x on both sides of the equation

5. Divide by 6 both sides of the equation

Step-by-step explanation:

9x + 12 =  3(x-8)

9x + 12 = 3x -24

     -12          -12

      9x = 3x -36

     -3x   -3x

     

      6x = -36

       6        6

        x = -6

The equation that represent the first step that should be required is 9x + 12 = 3x -24.

Calculation of an equation:

Since the equation is

9x + 12 = 3(x-8)

So

9x + 12 = 3x -24

6x = -36

x = -6

So based on this, we can say that The equation that represent the first step that should be required is 9x + 12 = 3x -24.

Learn more about an equation here: https://brainly.com/question/17599700

solve for x 11/12=10/3x+5-3/4x

Answers

9514 1404 393

Answer:

  x = -49/31

Step-by-step explanation:

Fractions can be cleared by multiplying both sides of the equation by 12.

  11 = 40x +60 -9x

  0 = 31x +49 . . . . . . . . subtract 11, collect terms

  0 = x +41/39  . . . . . . . divide by 31

  -41/39 = x . . . . . . . . . . subtract 41/39

Determine the y-intercept of the
equation below. Write your answer as
an ordered pair.
5x + 8y = 40

Answers

The answer would be (0,5)

In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet.

Answers

Answer:

3 days.

Step-by-step explanation:

Based on the information provided we see that roughly 60% of the days in January have 6ft+ waves then we would need to use this value to calculate the number of days that are good for surfing. We calculate this by multiplying the number of days that you can surf by 60% using the equation below as r being the actual total amount of days....

r = 6 * 0.60%

r = 3.6

As we can see that there are roughly 3 days that see this amount of wave activity between the 6 chosen dates. We have to round down because we are talking about full days and 3.6 does not meet a fourth full day.

What is 3 1/2?
A. -2/-7
B. -3 1/2
C. 3 1/3
D. -2/7

Answers

C 3 1/2
The lines in between the number means absolute value. This means that’s when the number is simplified it would become positive. Since 3 1/2 isn’t negative it would just stay the same
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