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kolbaska11 [484]
3 years ago
5

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week

.
Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. (3 points)

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. (3 points)

Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0
A. W = 10x

B. S = 10x + 15y...or S = 10x + 15(x - 40)

C. 10(40) + 15y = 490
      400 + 15y = 490
      15y = 490 - 400
      15y = 90
      y = 90/15
      y = 6

so he worked 40 regular hrs and 6 overtime hrs
     
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Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?
Stella [2.4K]

Answer:

f(x) = 3x² - 15x + 12

Step-by-step explanation:

Given f(x) has roots x = a and x = b, then

(x - a) and (x - b) are the factors

f(x) is then the product of the factors

f(x) = a(x - a)(x - b) ← where a is a multiplier

Given roots are x = 4 and x = 1, then

(x - 4) and (x - 1) are the factors

With a = 3, then

f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL

     = 3(x² - 5x + 4) ← distribute

     = 3x² - 15x + 12

7 0
3 years ago
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Basile [38]

Answer:

99in squared

Step-by-step explanation:

Bottom square is 3 by 3, middle is 9 by 6, and trapezoid is 9 by 4.

3*3+9*6+9*4 is 99

Hope this helps plz mark brainliest if correct :D

3 0
3 years ago
The Stock Market nadia is a stockbroker. earns ​% commission each week. Last​ week, she earned ​$ in commission. How much were h
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I want the answer of this . .
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5 0
3 years ago
Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth
bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

|AB|  =  \sqrt{ ({10 + 2})^{2} +  ({ - 1 - 5})^{2}  }  \\  =  \sqrt{ {12}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{144 + 36}  \:  \:  \:  \:  \:  \:  \:   \\  =  \sqrt{180}  \\  = 6 \sqrt{5}  \:  \:  \\  =13.416407

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0
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