Andrew makes $6 an hour plus $9 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: Andrew earned $330 in 1 week. How many hours (regular plus overtime) did he work?

Answers

Answer 1

Answer: Part A ) The equation is W = $ 6x where x ≤ 40, W is the amount of wage earned and x hours in a week when there is no overtime.

Part B) The equation is W = $ 6*40 + $9 y =$ 240 + $9 y where y as the overtime hours = total number of hrs - 40.

Part C) $ 240 + $9 y = $330. y is 10 hrs. Hence the total hours is 50 hrs.

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Help needed please.........

Answers

this is slope!!is it true???????

Write the function for the graph.f(x)
10-
(1,8)
(0,4)
A. f(x) = 4 . (2)
B. f(x) = 8. (4)*
C. f(x) = 4. (8)*
D. f(x) = 2 · (4)

Answers

Answer: A. f(x) = 4 . (2)

Step-by-step explanation: Disregard answer above. I took the quiz and it was wrong.

Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

Answers

Answer: y = -x + 5 and y = -x - 7 (see attached graph)

Step-by-step explanation:

y = $(9)/(x + 1)$

= 9(x + 1)⁻¹

Use the product rule to find the derivative

a = 9 a' = 0

b = (x + 1)⁻¹ b' = -(x + 1)⁻²

ab' + a'b

= 9[-(x + 1)⁻²] + 0[(x + 1)⁻¹ ]

= $(-9)/((x + 1)^(2))$

Set the derivative equal to the desired slope of -1 to solve for x

-1 = $(-9)/((x + 1)^(2))$

-(x + 1)² = -9

(x + 1)² = 9

√(x + 1)² = √9

x + 1 = +/- 3

x + 1 = 3 x + 1 = -3

x = 2 x = -4

Plug those values into the original equation to solve for y:

y = $(9)/(x + 1)$

= $(9)/(2 + 1)$

= 3

(2, 3)

y = $(9)/(x + 1)$

= $(9)/(-4 + 1)$

= -3

(-4, -3)

Next, plug in the given slope (-1) and the coordinates above into the Point-Slope formula y - y₁ = m(x - x₁) to find the equations:

m = -1, (x₁ y₁) = (2, 3) m = -1, (x₁ y₁) = (-4, -3)

y - 3 = -1(x - 2) y + 3 = -1(x + 4)

y - 3 = -x + 2 y + 3 = -x - 4

y = -x + 5 y = -x - 7

Answer:

$f(x)=\frac9{x+1}\n f'(x)=-\frac9{(x+1)^2}\n f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\n |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\n x_1=2\ \vee\ x_2=-4\n f(x_1)=f(2)=\frac9{2+1}=3\n f(x_2)=f(-4)=\frac9{-4+1}=-3$

First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

Second tangent line:

$y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7$

Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

John had 75 fliers to post around town. Last week, he posted 1 over 5 of them. This week, he posted 2 over 5 of the remaining fliers. How many fliers has he still not posted?

Answers

John has 50 fliers remaining. If you think about it, he already put up 10 because John put up 1 over 5 and 2 over 5. So 75- 10=65. Now, John put 1 over 5 of them. That is 1 x 5=5. Next, you subtract 65-5 and that is 60. John put 2 fliers over 5 of them so, that is 2 x 5, or 10. 60 - 10 is 50 fliers.

What kinds of things do firefighters need to carry?What do you think this means for the angle of the ladder they’re willing or able to climb?

Answers

Answer:

Given

Step-by-step explanation:

A firefighter needs to carry an LED flashlight, a knife or axe, a wax pencil. Every firefighter will put these to use regularly. Two other essential items are dust masks and earplugs. In addition to this they require fire protective gear and clothes.

The angle of the ladder is suitable to be around 75° for rescue operations and for firefighters to climb and perform tasks effectively.

Hope this is helpful..

Answer:

They need to carry LED LIGHTS , Knife

The angle of the ladder is suitable to be around 75° for rescue operations and for firefighters to climb and perform tasks effectively

. . Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point.. . (3, 2). . interior. exterior. on the circle

Answers

Hello,

C=(5,-3)
P=(3,2)
PC²=(3-5)²+(2+3)²=29
29>25 ==> P is exterior to the circle.

Answer:

Step-by-step explanation:

C=(5,-3)

P=(3,2)

PC²=(3-5)²+(2+3)²=29

29>25 =P is exterior to the circle

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Solve for x. −4/9 x 7=−71/8 x 9

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Select the correct answer. The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number? A. The equation that represents this situation is 10 − x = -18. The second number is 28. B. The equation that represents this situation is 10 + x = -18. The second number is -28. C. The equation that represents this situation is x − 10 = -18. The second number is -8. D. The equation that represents this situation is -10 + x = -18. The second number is -8.

Clarence is visiting his friends in Germany. Which currency will he use to pay for souvenirs?