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3 years ago

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

1 answer:

6 0

A:

(f+g)(x)=f(x)+g(x)

(f+g)(x)=4x-5+3x+9

(f+g)(x)=7x+4

B:

(f•g)(x)=f(x)•g(x)

(f•g)(x)=(4x-5)(3x+9)

(f•g)(x)=12x^2-15x+36x-45

(f•g)(x)=12x^2+21x-45

C:

(f○g)(x)=f(g(x))

(f○g)(x)=4(3x+9)-5

(f○g)(x)=12x+36-5

(f○g)(x)=12x+31

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Consider that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. If 1 ounce of cottage cheese is equivalent to 2

VikaD [51]

Answer:

4.42 ounces.

Step-by-step explanation:

We have been given that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. 1 ounce of cottage cheese is equivalent to 28.35 grams. We are asked to find the ounces in 1/2 cup serving.

We will use proportions to solve our given problem.

$\frac{\text{Ounce}}{\text{Grams}}=\frac{1}{28.25}$

Upon substituting our given values, we will get:

$\frac{\text{Ounce}}{125}=\frac{1}{28.25}$

$\frac{\text{Ounce}}{125}\times 125=\frac{1}{28.25}\times 125$

$\text{Ounce}=4.42477876$

Upon rounding to nearest hundredth, we will get:

$\text{Ounce}\approx 4.42$

Therefore, 1/2 cup serving contains 4.42 ounces.

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3 years ago

At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.

fomenos

Answer:

46lb

Step-by-step explanation:

you take twenty five divide by one twenty

7 0

2 years ago

Read 2 more answers

15 is the same as the product of 3 and a number. Which equation models this sentence?

adelina 88 [10]

Question

15 is the same as the product of 3 and a number. Which equation models this sentence?

15=3x

15=x-3

15=3+x

15=x divided by 3

Answer:

Step-by-step explanation:

15 = 3x

x = 15 : 3

x = 5

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

check

15 = 3 * 5

15 = 15

the answer is good

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3 years ago

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A classroom is 30 feet long and 30 feet wide. The ceiling is 10 feet above the floor. What is the volume of the classroom?

ser-zykov [4K]

If you would like to know the volume of the classroom, you can calculate this using the following steps:

30 feet long * 30 feet wide * 10 feet high = 30 * 30 * 10 = 9000 ft^3

The correct result would be 9000 ft^3.

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3 years ago

The monthly output P of a light bulb factory is given by the formula P = 450LK, where L is the amount invested in labor and K th

Tems11 [23]

Answer:

C(p) = 4,96 (in thousands of dollars)

l = 2980 $ invest in labor

k = 2980 $ invest in equipment

Step-by-step explanation:

Information we have:

Monthly output P = 450*l*k ⇒ k = P/450*l

But the production need to be 4000

Then k = 4000/450*l

Cost of production = l * k (in thousands of dollars)

C(l) = l + 4000/450*l

Taking derivatives (both members of the equation)

C´(l) = 1 - 400 /45*l² ⇒ C´(l) = 0 ⇒ 1 - 400/45l² = 0

45*l² - 400 = 0 ⇒ l² = 400/45

l = 2.98 (in thousands of dollars)

l = 2980 $ And

k = 400/45*l ⇒ k 400/45*2.98

k = 2.98 (in thousands of dollars)

C(p) = l + k

C(p) = 2980 + 2980

C(p) = 5960 $

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3 years ago