For this question, use the following functions.
f(x) = 2x + 6
g(x) = 4x2 – 9
Find a simplified expression for f(f(x)).
O 2x – 12
0 4x + 12
O 2x + 6
O 4x + 18

Answers

Answer 1

Answer:

4x + 18

Step-by-step explanation:

This is called a composite function, meaning passing the range of one function as a domain of another function.

For f(f(x)), the inner-function's range is passed as the domain of the outer function.

We can do so by substitution,

The range of f(x) can be written as 2x + 6 for any defined x values,

So we will substitute 2x  + 6 as the 'x' of another function which is in this case

f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into

4x + 18


Related Questions

Write the equation of the line in fully simplifoed slope intercept form

Answers

Answer:

         y = -⁵/₃x + 8

Step-by-step explanation:

The equation of the line in slope-intercept form:  y = mx + b, where m is a slope and b is y-intercept

Slope of  line that passes through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(0, 8)    ⇒    x₁ = 0,  y₁ = 8

(3, 3)      ⇒    x₂ = 3,  y₂ = 3

[tex]\bold{m=\dfrac{3-8}{3-0}=\dfrac{-5}3=-\dfrac53}[/tex]

b = 8

Therefore the equation:   y = -⁵/₃x + 8

1.
The width of a rectangle is 19 centimeters less than double the length.
Let v be length of the rectangle. Write a variable expression for the width.

Answers

Answer:

width = 2v - 19

Step-by-step explanation:

need help ASAP !!!

[tex] \sqrt{6854 \times 6854} [/tex]

Answers

Answer:

√{6854×6854}=√6854²=±6854 is your answer

Answer:

[tex]±6854 [/tex]

Step-by-step explanation:

[tex] \sqrt{6854 \times 6854} [/tex]

[tex] \sqrt{ {6854}^{2} } [/tex]

[tex]±6854 .[/tex]

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.

Answers

Answer:47.5

Step-by-step explanation:

Order the sides or angles of each triangle from least to greatest.

Answers

Answer:

SU , UT , ST

Step-by-step explanation:

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27​

Answers

Step-by-step explanation:

This the answer in the photo

11. Bethany is paid 4% commission on
carpet sales. She sold $850 worth of
carpet to a family today. What was
her commission?

Answers

$34. You take $850 multiply it by the percent as a decimal, so 850*.04=$34 :)
34$ is four percent of 850

Write and solve a proportion to answer the question.

75% of 124 is what number a
?














Write and solve a proportion to answer the question.

72 is what percent of 45?

Answers

75 percent *124 =

(75:100)*124 =

(75*124):100 =

9300:100 = 93



72÷45×100
= 160

I need help on this plz thanks

Answers

Answer:

its a black screen

Step-by-step explanation:

WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and y = 36°, find x.
x =

Answers

Answer:

x = 48

Step-by-step explanation:

From the given diagram, the sum of the angles given is equal to 180 degrees as shown;

x+y+2x = 80

Since y = 36

x +36+2x = 180

3x = 180 - 36

3x = 144

x = 144/3

x = 48

Hence the value of x is 48

Monica worked 3.5 hours and is paid $10 per hour. How much did she make in 3.5 hours?

Answers

Answer:

She would make $35.

Step-by-step explanation:

If you do 10 x 3.5, you will get the answer of $35.

Answer:

$30

Step-by-step explanation:

She would be getting paid by the HOUR, and she has worked 3.5 hours. If she gets paid every HOUR, that means that she would be paid three times when working 3.5 hours. The answer would be $30.

The person who wrote the question might want $35 dollars as the answer, but logically the answer should be $30.

What is the value of 3^2+4(2+4)x6 divided by 8+4

Answers

Answer:

its 31

Step-by-step explanation:

how many parts 1/6s does it take to name the same amount as 1/3

Answers

Answer:

Two 1/6 pieces

Step-by-step explanation:

Two 1/6 pieces equals 1/3 of the apple

You need two 1/6s to get the same amount as 1/3.

So that will be 1/6 + 1/6 = 2/6
And 2/6 simplified is 1/3.

Is negative 40 greater than 12

Answers

Answer:

No, 12 is greater than -40

Step-by-step explanation:

Answer: I think your question is: Is negative forty greater than positive 12. It is not greater. Even if it was negative 40 and negative 12 it still would not be greater. Hope this helps :)

Step-by-step explanation:

2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.

Answers

Answer:

x = 8

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the given values of x and y, and solve for k:

y = kx

-8 = k(-2)

4 = k

So, the equation is y = 4x

Using this, plug in 32 as y, and solve for x:

y = 4x

32 = 4x

8 = x

So, x = 8 when y = 32

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00

Answers

Answer:

1.39

Step-by-step explanation:

Given the quadratic equation :

2x^2+3x-8 = 0

We could apply the quadratic equation formula :

a = 2 ; b = 3, c = - 8

The formula is stated as :

-b±sqrt(b² - 4ac)/2a

To save computation tune, we could use a calculator :

The roots are : - 2.886 ; 1.386

The positive solution rounded to the nearest hundredth is : 1.39

Hiiiooo can someone please help me ❤️❤️:D

Answers

Answer:

10

Step-by-step explanation:

because it shows where the line is

10 have a good day hope it's helped

Multiply: 7,277x6
Please hurry!

Answers

43662 dude. .........ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Drag fruit to represent each total weight shown.

Answers

5 grapes in the first box
3 strawberries in the second box
2 tomatoes (or whatever that is) in the third box

5/8 lb of fruit = 1/8+1/8+1/8+1/8+1/8=5/8
3/6 lb of fruit = 1/6+1/6+1/6=3/6
2/3 lb of fruit = 1/3+1/3=2/3
I do not know the answer

What is the GCF of the numerator & denominator below?

(x-2)(x+3)/x^2+4x+3

Answers

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = x² + x    + 3x + 1*3

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)

I need help with finding x. Can someone help me please?

Answers

Answer:

There isn't the picture :c

Theres No picture ?

asap 50 points!
-3xy = what when x=5 and y= -6
answers :
-90
90
-33
33​

Answers

Answer:

I think its 33

Step-by-step explanation:

i may be wrong

Answer:

choice 2) 90

Step-by-step explanation:

-3xy = ?

x=5 and y= -6

-3(5)(-6) = 90

what is -1 3/10 + -3.8

Answers

Answer:

answer

Step-by-step explanation:

=convert 3.8 into mixed number

=3 4/5

=1 3/10+3 4/5

=5.1 in mixed fraction

=5 1/10

if i got it wrong i am seriously sorry!

The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.

Answers

Question:

The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.

Answer:

The equivalent is 37.5%

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex]

Required

The equivalent

The model is not shown, but the question can still be solved.

We have:

[tex]\frac{3}{8}[/tex]

Multiply by 100%

[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]

[tex]\frac{3}{8} = 0.375 * 100\%[/tex]

[tex]\frac{3}{8} = 37.5\%[/tex]

Can you help me with this one to

Answers

Answer:

3 and 5 but i dont know what number goes in what picture so just try then try the other way round if its wrong

Step-by-step explanation:

Answer:

Purple Diamond = 2  Green Moon = 7.5 Pink Trapezium = 30

Step-by-step explanation:

T = Pink Trapezium

D = Purple Diamond

M = Green Moon

Line 1 = T = 30 x 1 = 30

Line 2 = (D x D) x (M) = (2x2) x (7.5) = 4 x 7.5 = 30

The key is the weight of the line multiples to 30

Just like graphs do with x/y

If x is horizontal then y is vertical

= x/y we get the gradient which is the same as division or dividing 30/30 = 1 being the base weight amount

and same as 30/7.5 = 4 and simplifying 4 to (2 x 2)that means an easier way to see the number of (2x2) being the base weight = 1 x 2  then 1 x 2 then as we have found 4 its simplification we can divide it into 30 to show 30/4 = 7.5 for the Moon or for (M) above.

The 4 number is simplification and (+ 2 )(+ 2) is its factorization before it turns to 30 to show 30 = (2 x 2 x 7.5)  or 2^2 x 7.5 = 30. Etc. Etc.

b Two quadrilaterals both have angles 55°, 65°, 95º and 145º
Felix says, 'The two quadrilaterals are similar.
True or false? Explain why.

Answers

Answer:

I say true.

Step-by-step explanation:

cuz both of the quadrilaterals have the same angles and all angles equal 360 °

Andrew cut 24 feet of chain into pieces that were each 1/3ft long. How many of these pieces did Andrew have after cutting the chain?

Answers

Answer:

72

Step-by-step explanation:

1/3 ft is 4 inches

24 feet is 288 inches

take 288 and divide it by 4

you get 72, which is the number of pieces of chain Andrew has

Horace measured a circular lid and found d, the diameter, was 8 inches and C, the circumference, was 25 inches. Which expression represents an approximate value for p?

Answers

Horace measured a circular lid and found d, the diameter, was 8 inches and C, the circumference, was 25 inches. Which expression represents an approximate value for pi?

Answer:

pi = 3.125

Step-by-step explanation:

We are given;

Diameter; d = 8 inches

Circumference; C = 25 inches

Formula for circumference of a circle is;

C = πd

We are trying to find the value for pi(π)

Thus; π = C/d

π = 25/8

π = 3.125

I need the answer in under 34 min

Answers

Answer:

I. 1 cup is $4.50

2 cups is $9.00

3 cups is $13.50

ll. 6 cups is $27.00

Step-by-step explanation:

Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00

then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.

therefore 6 cups is 6•18/4 which is $27.00.

hence 5 cups is 5•18/4 which is $22.50.

please help me with my math​

Answers

Answer:

SA = 480 cm²

Step-by-step explanation:

Surface area of the composite figure given in the picture = (Surface Area of the triangular prism on the top - area of the rectangular base) + (Surface area of the rectangular prism - Area of the rectangular base)

Surface area of the triangular prism = Area of the triangular bases + (perimeter of the base × Height)

= [tex]2(\frac{1}{2}\times 3\times 8)[/tex] + [(5 + 5 + 8)×12]

= 24 + 216

= 240 cm²

Area of the rectangular surface of the prism = 8 × 12 = 96 cm²

Surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = width and h = Height of the rectangular prism

                                                  = 2(8 × 12 + 12 × 6 + 6 ×8)

                                                  = 432 cm²

Surface area of the composite figure = (240 - 96) + (432 - 96)

                                                                = 144 + 336

                                                                = 480 cm²

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