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abruzzese [7]
3 years ago
6

Joe had a summer job that pays $7.00 an hour and he worked 15 and 35 hours every week. His weekly salary can be modeled by the e

quation: s = 7H, wear a is his weekly salary and h is the number of hours he worked in a week. Describe the domain and range for this problem using appropriate notation.
Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0

Correct question is;

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week.

What is the reasonable Domain and Range?

Answer:

Domain is: 15 ≤ x ≤ 35

Range is: 105 ≤ x ≤ 245

Step-by-step explanation:

We are told that Joe works between 15 and 35 hours every week.

This means that he works at least 15 hours or at most 35 hours a week.

Thus, domain is; 15 ≤ x ≤ 35

We are told that his weekly salary can be modeled by the equation: s = 7H

Where s is salary and H is number of hours worked per day.

Thus;

Lower range is; s = 7 × 15 = $105

While higher range is; s = 7 × 35 = $245

Thus, range is 105 ≤ x ≤ 245

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Answer:

19 is the answer

Step-by-step explanation:

3x - 4y

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3 years ago
2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566
pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

T_n=3n+17

Subtract 17 from both the sides.

T_n-17=3n

Divide both sides by 3.

\frac{T_n-17}{3}=n

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

n=\frac{80-17}{3}=21

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

n=\frac{170-17}{3}=51

Since n is a positive integer, therefore 170 is a term of given series.

(c) The given term is 217.

n=\frac{217-17}{3}=66.67

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

n=\frac{312-17}{3}=98.33

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

n=\frac{278-17}{3}=87

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

n=\frac{3566-17}{3}=1183

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

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3 years ago
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Answer:

3.2

Step-by-step explanation:

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4x=8
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If point Q is translated 5 units to the right and 5 units down what are the coordinates of Q
xeze [42]

Answer:

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Step-by-step explanation:

If the point is to be moved 5 units down, it means that its 'y' coordinate must be subtracted 5.

Same thing happens with x coordinate, it is moved 5 units to right, it meas that its 'x' coordinate must be summed with 5.

The whole operation can be written as the following addition:

Q + (5,-5)

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