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

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

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

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

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:

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.

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

Answers

Answer:

There isn't the picture :c

Theres No picture ?

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

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

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

Answers

Answer:

SU , UT , ST

Step-by-step explanation:

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

Multiply: 7,277x6
Please hurry!

Answers

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

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.

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

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

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

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.

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

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

Answers

Answer:

its 31

Step-by-step explanation:

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)

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

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

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]

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.

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:

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:

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!

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:

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]

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 °

Other Questions
Meiosis results in...A) 4 diploid daughter cellsB) 2 haploid daughter cellsC) 2 diploid daughter cellsD) 4 haploid daughter cells i dont know why i posting this but i am lol Which excerpt from the article Pakistans Malala best describes Malalas relationship with her father?He knew it meant his daughter's education would come to an end.He knew he would have to close one of the private schools he ran for girls.In January 2009, Malala and her father sat in their living room drinking tea and eating beef and curry stew.In the family's living room in 2009, Yousufzai lovingly put his palm atop his daughter's head. What value of x makes the equation 1 3 x + 6 = 6 + 2 3 x true? The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.How far did the penguin swim?Give your answer in terms of pi. why employment laws might increase easyjet plc costs What is the approximate volume of the cylinder? Use 3.14 for it. 14 Select the correct answer from each drop-down menu. Hunting and poaching are responsible for the decline of many animal species. To control hunting and poaching, conservationists try to protect animals by_______ ralse endangered species in to protect them from these threats. Conservations also raise endangered species in _______ to protect them from these threats (awnser 1)introducing new species passing laws using water purification treatments (awnser 2)ecosystems with low diversity natural habitats protected wildlife sanctuaries PLEASE HELP ME180=3x+45 What factors contribute to eating disorders? #1 use the pythagorean theorem to find the missing side of each right triangle Which of the following statements is TRUE about finding the area of a polygon?A) You can use a coordinate plane to find the area of a polygon only if it is a triangle, rectangle, or square.B) You can find the area of a polygon by dividing it into triangle and rectangle sub-parts and then calculating the area for only one of those sub-parts.C) You can only find the area of a polygon if it is a triangle, rectangle, or square.D) You can find the area of a polygon by dividing it into triangle and rectangle sub-parts, finding the area of the sub-parts, and then calculating the sum of the areas. Janice and her cousin Linda are a little competitive about the relative merits of their home towns. One contest they had was to determine who had more rainy days. They found weather records on the internet and each of them randomly selected 60 days from the past 5 years. Janice found that there had been measurable rainfall on 17 of the 60 days she selected for Asheville, and Linda found that there had been measurable rainfall on 12 of the 60 days she selected for Lincoln. They intend to perform a test of significance on their data, using the hypotheses When calculating the test statistic, what expression would they use to estimate the standard deviation of the sampling distribution of the difference in proportions, bromine water can be used to distinguish between these two molecules?? true or false Which of the following explains how the Nielsen ratings are related to the profit motive?A. They measure the number of viewers for each show, which is how awards like the Emmys are won.B. There's no relation.C. They measure the number of viewers for individual programs. That helps advertisers try to reach the largest number of people possible.D. Both A and B are correct.Group of answer choices ______ If an employer enforces an English-only policy in all areas of the workplace and at all times, including break times and other free time, the:A) employers policy is presumptively discriminatory according to the Equal Employment Opportunity Commission (EEOC).B) employer is much safer from a charge of national origin discrimination than an employer who only enforces the policy in certain areas and at certain times.C) employer impermissibly violates Title VII of the Civil Rights Act, which protects the ability of workers to express their cultural heritage at the workplace.D) employers policy is not unlawful because all individuals, irrespective of their national origin, are required to speak English in the United States. Please answer the question if you know its right!what are three specific reasons for weight-lifting tests? What type of sentence is this: I went to the movies; I had a good time. Evan and Dorinda make bracelets for a craft fair. Evan makes 10 bracelets the first day and 8 bracelets each day after that. Dorinda makes 8 bracelets the first day and 8 bracelets each day after that. If they make bracelets for 6 days, how many bracelets will they make in all? a. 567 b. 987653 c. 8765 d.65 WILL GIVE BRANLYEST (IF CORRCT ) Which detail supports the main idea, "P.T. Barnum discovered a tiny person called Tom Thumb and made him a star."Fine miniature clothing was handmade especially for him.at the time Tom Thumb's name was Charles S. Stratton.Phineas Taylor Barnum was famous for making the American circus.Under Barnum's guidance, Tom Thumb became the most famous little person of all time.