Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 8^2 +4
g of x equals the square root of the quantity 2 x cubed

Answers

Answer 1

Answer:

[tex] f(x)=8x^2+4\\ g(x)=\sqrt{2x^3}\\ f(g(x))=8((\sqrt{2x^3})^2)+4\\=16x^3+4\\=4(4x^3+1)[/tex]

Answer 2

The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 8x² + 4

g(x) = √(2x³)

The function f(g(x)) is calculated as,

f(g(x)) = 8[√(2x³)]² + 4

f(g(x)) = 8[√(2x³)]² + 4

f(g(x)) = 16x³ + 4

f(g(x)) = 4(4x³ + 1)

The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.

More about the function link is given below.

https://brainly.com/question/5245372

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Related Questions

help me smart math people

Answers

Answer:

48 because i720 divided into 15 groups calculate to 48

Rise over run please?????????

Answers

Answer:

1/3

Step-by-step explanation:

up 1 right 3

M= rise/run M= 1/3


Rise 1 run 3

Identify the initial condition and the rate of change

a = b − 21

Answers

In the given expression :

a = b - 21

rate of change = 1

Initial condition = - 21

Answer:

Option B

Step-by-step explanation:

Given relationship:

a = b - 21

It could be shown as:

a = 1*b + (-21)

The rate of change is 1 and the initial condition is -21.

Correct choice is B

PLEASE HELP! Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.

A: Choose the compound inequality that describes the elevation x of Ted's house

B. ted lives between _____ m and ______ m above sea level​

Answers

Answer:

98 and 105

Step-by-step explanation:

3 3/4 divided by 2 1/12 in simplest form

Answers

Answer: the final answer is 1 4/5 or 9/5

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

3 3/4 turns into 15/4 and 2 1/12 turns into 25/12

Second: then flip the 2nd fraction so it becomes 12/25

now multiply straight across: 15/4 x 12/25

15 x 12=180

4 x 25=100

180/100= 9/5= 1 1/4

Simplest form of quotient of given fractions is 9/5.

The given fractions are [tex]3\frac{3}{4}[/tex] and [tex]2\frac{1}{12}[/tex].

How to divide two fractions?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

[tex]3\frac{3}{4}[/tex] can be written as [tex]\frac{15}{4}[/tex] and [tex]2\frac{1}{12}[/tex] can be written as [tex]\frac{25}{12}[/tex].

Keep 15/4 and change division sign to multiplication sign and reverse the fraction 25/12 as 12/25.

That is , [tex]\frac{15}{4} \div \frac{25}{12} = \frac{15}{4} \times \frac{12}{25}[/tex]

[tex]=\frac{3}{1} \times \frac{3}{5} =\frac{9}{5}[/tex]

So, quotient = 9/5

Therefore, simplest form of quotient of given fractions is 9/5.

To learn more about the fractions visit:

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I dont know this no links though

Answers

Answer:

ok do the sqare root of 54 and 24 round to the nearest tenth then multiply the 54 by 3 and the 24 by 4 then subtract them too

Step-by-step explanation:

An architect makes a scale drawing for a new school building. The door to the school on the scale drawing is 12 inches tall, while the actual door will be 8 feet tall.Question 1Part ABased on the measures of the door, what is the unit rate of feet of school building per inch of the module?Enter the correct answer in the box

Answers

Answer:

96

Step-by-step explanation:

The sum of three numbers is 66. The second number is twice the first and six less than the third. find the numbers

Answers

Step-by-step explanation:

let the 1st number be x

and,

2nd number = 2x

3rd number = 2x + 6

their sum = 66

so, after inserting the values we got

x + 2x + 2x + 6 = 66

5x + 6 = 66

5x = 66 - 6 = 60

x = 60/5 = 12

x = 12

therefore,

1st number = x = 12

2nd number = 2x = 12 × 2 = 24

3rd number = 2x + 6 = 24 + 6 = 30

hope this answer helps you dear...take care and may u have a great day ahead!

On Monday, 4 x 10 to the power of 2 people went to Fun World Amusement Park. On Tuesday, there were 3 x 10 to the power of 6 patrons at the amusement park. How many times larger was Tuesday's attendance than Monday's ?

Answers

The Monday and Tuesday attendance are illustrations of proportions.

Tuesday's attendance is larger than Monday's 7500

The given parameters are:

[tex]\mathbf{Monday = 4 \times 10^2}[/tex]

[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]

The number of times (n) the Tuesday attendance is larger than Monday's is:

[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]

So, we have:

[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]

[tex]\mathbf{n = 7500}[/tex]

Hence, Tuesday's attendance is larger than Monday's 7500

Read more about proportions at:

https://brainly.com/question/21126582

11. Find the value of r so that the polygons have the same per
X+4
x + 5
x + 3
X-2
X+4
(Just solve 11. Pleaaase!)

Answers

Answer: i

Step-by-step explanation: dk

factorise:
a) 32x⁴-8y²​

Answers

Answer:

8(2x² - y)(2x² + y)

Step-by-step explanation:

32[tex]x^{4}[/tex] - 8y² ← factor out 8 from each term

= 8(4[tex]x^{4}[/tex] - y²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

4[tex]x^{4}[/tex] - y²

= [tex](2x^2)^{2}[/tex] - y²

= (2x² - y)(2x² + y)

Thus

32[tex]x^{4}[/tex] - 8y² = 8(2x² - y)(2x² + y)

0.0133 rounded to the nearest tenth

Answers

Answer:

0.0130

Step-by-step explanation:

tenths are the second if you read to the left

Answer:

0

Step-by-step explanation:

looking at the hundreths which is one. one is less then 5 so its not rounding up.

1/2x-1/4y=10
1/8x-1/8y=19
which ordered pair (x,y) satisfies the system of equations above
a) (-122,264)
b) (64,88)
c) (232/3, 224/3)
d) (288,536)

Answers

Answer: (-112,-264)

Step-by-step explanation:

Plz help it’s due tonight!!!

Answers

sorry

Step-by-step explanation:

The students in Hunter's grade voted to select a guest speaker. 60 students voted for a famous athlete. If there are 75 students in Hunter's grade, what percentage of the students voted for the athlete?

Answers

Answer:

80%

Step-by-step explanation:

60/75 = 4/5 = 80%

6. Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.

Answers

Choose one point on the graph of the

proportional relationship and explain what

this point means in terms of the situation.

please help me with this

Answers

Answer:

The answer will be “B”

Step-by-step explanation:

If you liked this answer please give brainleist and rating! Hope this helps! ^_^

Look at the angle. Which description is true

Answers

This angle is greater than 90 degrees

Answer:

The angle is greater than 90 degrees, which is also known as an obtuse angle.

8 times what number equals 24?

Answers

Let the number be x

[tex]8 \times x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]

Solved

8×3=24

Answer:

3

Step-by-step explanation:

24 ÷ 8 = 3

8 × 3 = 24

....................

Pls Help!! (ILL GIVE BRAINLIEST)

Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(4, 0), Q(0, â’4), and R(â’8, â’4). Triangle P′Q′R′ has vertices P′(1, 0), Q′(0, â’1), and R′(â’2, â’1).


Plot triangles PQR and P′Q′R′ on your own coordinate grid.


Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer.


Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis.


Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer.

Answers

Answer:

your mom lol sooooooooooooo

Multiply. (−914)×(0.1)×(−28) What is the product?

Answers

Answer:

(-914)×(0.1)×(-28)=2559.2

find three consecutive integers whose sum of the first and the third is -88

Answers

Answer:

Step-by-step explanation:

{-43; -44; -45}

-43+(-45)=-88

Find the value of x using the figure to the right.

Answers

Answer:

yes it may be 3

Step-by-step explanation:

PLEASE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP

Answers

Answer: 116.16675

Step-by-step explanation:

hope this helps:)

The ratio of the length of a rectangle to the width of the rectangle is 3 inches to 2 inches. What is the length of the rectangle if the width is 4 inches?

Answers

Answer:

6 in

Step-by-step explanation:

2/3 = 4/x

(4*3)/2

Order these numbers from least to greatest . 9 2/5, 167/20, 8.406, 8.49

Answers

Answer:   0.04, 0.2, 1/2, 3/4, 5, 73

Step-by-step explanation:

Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.

Answers

The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].

Given expression is:

[tex](4-5i)(2+6i)-(3-2i)[/tex]

By applying the multiplication, we get

→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]

By multiplying the (-) sign into the bracket, we get

→ [tex]8-10i+24i-30i^2-3+2i[/tex]

→ [tex]5+16i-30i^2[/tex]

By arranging the terms, we get

→ [tex]-30i^2+16i+5[/tex]

Thus the answer above is right.

Learn more:

https://brainly.com/question/19593573

3(-2x-4y)-4(6y-x)
simplify

Answers

Answer:

Simplify the expression.

12xy−72yexponent 2 -6x

Step-by-step explanation:

got it from mathaway

Step 1: distributive property
-6x-12y-24y+4x
Step 2: Combine like terms
-2x-36y

Answer: -2x-36y

what is 1/3x+10=3/4x+5

Answers

Answer:

x=12

Step-by-step explanation:

Just use some algebra to collect the like terms from each side

Answer:

x = 12

Step-by-step explanation:

1/3x+10=3/4x+5

make 1/3 & 3/4 have the same denominator

4/12 & 9/12

4/12x+10=9/12x+5

-4/12x+10=9/12x-5

5 = 5/12x

60 = 5x

12 = x

Which are the coordinates of Jefferson High School's Parking Lot B?
(-4, 3)
(-4,-3)
(-3,-4)
(-3, 4)

Answers

Answer:

(-3,4)

Step-by-step explanation:

the point is on -3 on the x-axis and 4 on the y-axis

Answer:(-3,4)

Step-by-step explanation:took the test and got right

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