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2 years ago

Given the functions m(x) = 4x − 11 and n(x) = x − 10, solve m[n(x)] and select the correct answer below. (2 points)

1 answer:

Citrus2011 [14]2 years ago

4 0

For this case what we must do is a composition of functions which will be given by:
m (x) = 4x - 11
n (x) = x - 10
We have then:
m [n (x)] = 4 (x - 10) - 11
Rewriting the function:
m [n (x)] = 4x - 40 - 11
m [n (x)] = 4x - 51
Answer:
a. m [n (x)] = 4x - 51

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Write an equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells cupcakes, c, for 1.50

Archy [21]

Answer:

$\text{p}=\$1.20\text{c}-\$20$

Step-by-step explanation:

GIVEN: Catherine sells cupcakes c for $\$1.50$ each, The ingredients for each cupcake cost her $\$0.30$ , and the sum of all her other expenses is $\$20/\text{month}$ .

TO FIND: Equation to represent Catherine's profit from selling cupcakes.

SOLUTION:

Cost of ingredients for each cupcake $=\$0.30$

sum of all other expenses $=\$20/\text{month}$

Selling price of each cupcake $=\$1.50$

Total cupcakes sold $=\text{c}$

Now,

As we know that $\text{Net profit}=\text{Selling price}-\text{Cost price}-\text{Other expense}$

putting values,

$\text{p}=\$1.50\text{c}-\$0.30\text{c}-\$20$

$\text{p}=\$1.20\text{c}-\$20$

Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is $\text{p}=\$1.20\text{c}-\$20$

8 0

3 years ago

A specialty muffin company makes muffins for $0.12 per muffin. The starting cost of the company is $300. How many muffins must t

V125BC [204]

Answer:

the company should make 2307 muffins before the Average cost reaches $0.25/muffin

Step-by-step explanation:

the total cost of making the muffins is

Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q

where Q = number of muffins

the average cost is

Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q = $300/Q + $0.12 / muffin

then for Average cost= $0.25/muffin

$300/Q + $0.12 / muffin = $0.25/muffin

Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)

then the company should make 2307 muffins before the Average cost reaches $0.25/muffin

6 0

3 years ago

Read 2 more answers

Write a^6 using a positive exponent

VikaD [51]

This is already written with positive exponent

5 0

2 years ago

Evaluate the following functions at x = 10 q(x)=x^2-2x+2

Oduvanchick [21]

Answer:

Step-by-step explanation:

given:x=10

Evaluating,

(10)²-2(10)+2

=100-20+2

=80+2

=82

Pls mark me brainliest

5 0

3 years ago

15pts please help asap<br> 2.5 as an improper fraction?

RideAnS [48]

2.5 = 2 5/10 as a Mixed fraction

To get a improper fraction, multiply the whole number with the denominator, and then add the numerator to the answer, giving the numerator (keep the denominator number)

2 x 10 = 20
20 + 5 = 25

25/10 is your answer

hope this helps

6 0

3 years ago