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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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Susan was given the following number to convert to scientific notation: 12,050,000 Her answer was 1.25 x 10^7 , but it was marke
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Answer:

C. She left out a zero between the two and the five

Step-by-step explanation:

Given that Susan is expected to convert 12,050,000 to scientific notation, what Susan should have done is shown below:

Count the number of decimal places from your right up to before the first digit, and place the decimal point after the first digit. The number of decimal places counted would determine the exponent we are to use.

Here, we have 7 decimal places, counting from the right to the left, therefore, the exponent would be a positive 7.

What Susan should have is:

1.205 × 10⁷ NOT 1.25 × 10⁷.

1.25 × 10⁷ = 12,500,000, which is different from 12,050,000.

Her paper was marked wrong because: "she left out a zero between the two and the five"

7 0
3 years ago
Help with 19,20,21,23 please i don't understand geometry at all
Murrr4er [49]
19.  What you know is that HK+KJ = HJ.  If HJ = 25, the sum of the two equations will equal this length.  

x-5+5x-12=25  First, combine your like terms.  You will end up with 6x-17=25.  Add the opposite of -17 to both sides.  6x = 42  Divide both sides by 6.  x = 7.  Substitute x=7 for your original expression of x-5, 7-5=2

20.  (5x-6)/2 = x+6  Multiply each side by 2.  5x-6 = 2x +12  Add 6 to each side 5x = 2x + 18 then subtract 2x from both sides as well.  3x = 18 Finally divide each side by 3.  x=6   To find the length of the remaining segment, substitute this value into (5x-6)/2.  This results in each side equaling a distance of 12.

21.  On the number line, the distance of FG is 16 units.  If the distance of FP is 1/4 of FG, you would simply divide 16 by 4.  The distance of FP is 4 and P lies at 8 on your number line.

23. The distance of SP is x+4 and ST=4x.  Since P is the midpoint, you only have one half of the line as x+4, if you were to double it, you would find that 2x+8 = 4x.  Balance and solve for x, subtract 2x from both sides. 8=2x  Divide each side by 4, 8/4 = 4x/4 resulting in x=2.  If ST equals 4x, substitute and solve, 4(2) = 8
8 0
3 years ago
A book claims that more hockey players are born in January through March than in October through December. The following data sh
denis-greek [22]

Complete question :

Birth Month Frequency

January-March 67

April-June 56

July-September 30

October-December 37

Answer:

Yes, There is significant evidence to conclude that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Step-by-step explanation:

Observed value, O

Mean value, E

The test statistic :

χ² = (O - E)² / E

E = Σx / n = (67+56+30+37)/4 = 47.5

χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295

Degree of freedom = (Number of categories - 1) = 4 - 1 = 3

Using the Pvalue from Chisquare calculator :

χ² (18.295 ; df = 3) = 0.00038

Since the obtained Pvalue is so small ;

P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

5 0
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Find the length indicated.​
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