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inysia [295]
3 years ago
10

Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equ

ipment will cost $1200.
Henry orders 600 shirts and determines that the profit for his new business is modeled by the function P = 22x - 1200. What is the domain of this function in this context?
A) all real numbers
B) {0 ≤ x ≤ 600}
C) {0 ≥ x ≥ 600}
D) {-1,200 ≤ P ≤ 2,000}
Mathematics
2 answers:
VMariaS [17]3 years ago
7 0

Answer:

The domain of the function is B) {0 ≤ x ≤ 600}

Step-by-step explanation:

Consider the provided information.

Henry orders 600 shirts and determines that the profit for his new business is modeled by the function P = 22x - 1200.

We need to determine the domain of the function.

The domain is the set of input values which a function can take, or the domain is the set of all possible x values.

Henry can minimum order 0 shirts and maximum he can ordered 600 shirts.

Therefore, the domain of the function is B) {0 ≤ x ≤ 600}

cluponka [151]3 years ago
4 0
If Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt, then the domain of this function in this context is {0 ≤ x ≤ 600}. The correct answer to the following given statement above is letter B.
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Answer:

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A) Find two numbers with a common factor of 3 only.

for example:

2*3 = 6

7*3 = 21

Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.

B) Write a pair of numbers with a common factor of 2, 3 and  6.

Here we can write:

2*3*2 = 12

3*2*5 = 30

Those two numbers have the common factors 6, 2 and 3.

C) Write a pair of numbers with common factors of 3, 6 and  9.​

3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)

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3 years ago
1. Find 3 equivalent fraction for the following: a) 5/6 b) 7/11 c) 9/7
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Answer:

Step-by-step explanation:

To find equivalent fractions, multiply the numerator and the denominator by the same table.

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b) 7/11

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c)9/7

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Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e
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Answer:

The water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be \frac{9}{4} x.

And let the water be \frac{3}{4} x.

According to question:

\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}.

<em>On adding the fractions:</em>

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⇒\frac{12x}{4} =\frac{63}{4}

<em>Multiplying both sides by 4 we get:</em>

⇒12x=63

<em>Dividing both sides by 12 we get:</em>

⇒x=\frac{63}{12}

<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>

⇒x=\frac{21}{4}

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Therefore, the water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

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