if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___​

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

Explanation:

We're given that f(x) = x^2

The function g(x) is vertically stretched to be five times taller. We see this with the point (1,5) on the purple graph since its counterpart is at (1,1) on the blue graph.

We look at how the y values changed. So we had gone from y = 1 to y = 5. This jump means "multiply by 5"

If we do this to all the y values on the blue graph, then all the points jump to a height 5 times taller. Something like (2,4) moves to (2,20). Something like (3,9) goes to (3,45). And so on. This is what produces the purple g(x) graph.

You could say that

g(x) = 5*f(x)

g(x) = 5x^2

This works because y = f(x), so when we say 5*f(x), we really mean 5*y.

Answer:

-1.31

Step-by-step explanation:

14x - 11x - 29x = 34

-26x = 34

x = 34/ -26

x= -1.31

Answer:

i smell penys

Step-by-step explanation:

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

Answer:

f(1) = -2

Step-by-step explanation:

Remember that when dealing with functions, it is written in the form of f(x)

We know that f(1) is the value of the function when the value of x is equal to 1

In this problem,  look on the graph to see

for x = 1

the value of the function is  f(1) = -2

Answer:

-2

Step-by-step explanation:

Answer:

24.070

Step-by-step explanation:

twenty-four and seventy thousandths

24

and means change from integers to fractions

24 70/1000

or as a decimal

24.070

Answer:

.........it equals 60.52200

Answer:

[tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex]

Step-by-step explanation:

Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2

Let two numbers are x and y. When they are divided the quotient is -1. So,

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

It can also be written as :

x = -y ....(1)

The subtraction of first minus the second is -3/2 .

[tex]x-y=\dfrac{-3}{2}\ .....(2)[/tex]

Use equation (1) in (2),

[tex]-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}[/tex]

From equation (1) : [tex]x=\dfrac{-3}{4}[/tex]

Hence, two numbers are [tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex].

Answer:

i think the answer is c. hope it helps <3

Step-by-step explanation:

Answer: 25

Step-by-step explanation: 5^2 = 25, 5x5 = 25

Hope this helps!

2.2

did that help at all

Slope formula: y2-y1/x2-x1

We can use the points given to solve.

-2-4/3-(-2)

-6/5

Best of Luck!

Answer: 25 feet

Step-by-step explanation:

Answer:

25 feet

Step-by-step explanation:

10 times 2 is 20 and half of 10 is 5 so 20 and 5 = 25

Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

[tex]x^2+2x-8 < 0[/tex] represents the given solution set.

A mathematical expression in which left hand side is not equal to right hand side is known as inequality.

The given solution set is x>-4 and x<2

Option A: [tex]x^2-2x-8 < 0[/tex]

(x+2)(x-4)<0

x<-2 and x<4

Option B: [tex]x^2+2x-8 < 0[/tex]

(x-2)(x+4)<0

x<-4 and x<2

Option C: [tex]x^2-2x-8 > 0[/tex]

(x+2)(x-4)>0

x>4 and x>-2

Option D: [tex]x^2+2x-8 > 0[/tex]

(x-2)(x+4)>0

x>-4 and x>2

Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.

Learn more about inequality here:

https://brainly.com/question/16792145

#SPJ2

Answer:

the mass is 75 kg

Step-by-step explanation:

80 KG

70m/s times forty=2800 divided by 80=35 +40=75

Answer:

$4

Step-by-step explanation:

From the question we have it that jenna bought the 5 reams of paper at a price of 21

The tax on this was $1

The total cost of the paper minus tax = $20

Cost of 1 team = total cost of paper / quantity

= 20/5

From the equation

5x +1 = 21

5x = 21 -1

5x = 20

X = 20/5

X = $4

Therefore we have The cost of a team of paper to be equal to $4

Answer:

True

Step-by-step explanation:

Step-by-step explanation:

4b+19

If 19 is added to 4b, then yes, it is 'nineteen more than...'

4b is a multiplication expression in itself and the term 'product' means the answer to a multiplication problem.

So the answer is true.

hope it helps!

The answer to f(-3)= -3^2+1 is 10 !!

Answer: 10

STEP BY STEP STEP BY STEP BY STEP

Answer:

W, M, A and G

Step-by-step explanation:

The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the  towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the  proper order of the four towns.

Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:

AB + BC = BC

Given that MG + WM = WG, this means that point M lies between the segment WG.

Also, MA = MG - AG

MA + AG = MG, hence point A lies between segment MG

Therefore the order of the points is W, M, A and G

Answer:

20 is correct answer

Step-by-step explanation:

8+3×4

=8+12

=20

Remember always follow bodmas rule

hope it helped you:)

thanks!

Answer:

1436.8 in³ (nearest tenth)

Step-by-step explanation:

A globe is in the shape of a sphere.

[tex]volume \: of \: sphere = \frac{4}{3} π {r}^{3} [/tex]

Diameter= 2 ×radius

radius of globe

= 14 ÷2

= 7 inches

Volume of globe

[tex] = \frac{4}{3} π {(7}^{3} ) \\ = 1436.8 \: in^{3} \\ (nearest \: tenth)[/tex]

Step-by-step explanation:

To find the volume of sphere we have to use the given below formula :]

[tex] \boxed {\underline{ \underline{\bigstar\:\: \sf Volume \: of \: sphere = \dfrac{4}{3} \pi r^3 \: \: \bigstar}}} \\ \\ [/tex]

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}} [/tex]

[tex]:\implies \sf Volume \: of \: sphere = \dfrac{4}{3} \times 3.14 \times 7 \times 7 \times 7 \: \: \bigg \lgroup \bf{putting \: \pi = 3.14} \bigg \rgroup \\ \\ [/tex]

[tex]:\implies \sf Volume \: of \: sphere = \dfrac{4}{3} \times 3.14 \times 343 \\ \\ [/tex]

[tex]: \implies \underline{ \boxed{ \sf Volume \: of \: sphere = 1436.0267 \: cubic \: inches}} \\ [/tex]

Answer:

B) She should have included an exponent of 2 on the 3.

Step-by-step explanation:

Just took the test. Good luck!

Answer:

1.6g

Step-by-step explanation:

1 cup of tea= 0.8g

2 cups of tea= 0.8g×2= 1.6g

Answer:

31 cm

Step-by-step explanation:

The complete question is attached.

A triangle is a polygon with three sides (three edges and three vertices). There are different types of triangles which are equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.

An equilateral triangle is a triangle in which all its sides are equal and all its angles are equal to 60°.

From the triangle, AB = BC = AC = 9.5 cm

Since the triangle is enlarged 3.25 times, hence:

new length of BC = 9.25 cm × 3.25 = 30.875

New length of BC = 31 cm to nearest cm

The value of the expression is -41.

Answer:

  (-5/3, -4/3)

Step-by-step explanation:

  3 < 6c +13 < 5 . . . . given

  -10 < 6c < -8 . . . . . subtract 13

  -10/6 < c < -8/6 . . . divide by 6

We can express the interval using reduced fractions as ...

  (-5/3, -4/3)

Answer:

10 boards

Step-by-step explanation:

$450-$250=$200. $20 * 10 boards = $200. $200-$200=0.

Therefore the answer is 10 boards

Answer:10

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

y = [tex]\frac{x-v}{b}[/tex]

Isolate x

First step, multiply both sides by b to get rid of fraction

y(b) = x - v

+v          +v

y(b) +v = x

Hope this helps!=)