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Ilia_Sergeevich [38]
2 years ago
14

Exam Guidelines

Mathematics
2 answers:
KiRa [710]2 years ago
6 0

Answer:

B. y = 31

Step-by-step explanation:

Subtract 228 from both sides

4y + 228 - 228 = 352 - 228

4y = 124

Divide both sides by 4 to solve for y

4y / 4 = 124 / 4

y = 31

pashok25 [27]2 years ago
4 0

Answer:

Answer is B. Y=31

Step-by-step explanation:

4y + 228 = 352

(4)(y) = 352 -228

y = 124/4

y = 31

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Can someone please help me in one of these!?
Anarel [89]

Answer:

9) y = -200x + 1200

11) slope = -2

15) $2,450

16) 9 days

Step-by-step explanation:

9) Given the two points from the graph:

Let (x₁, y₁) = (0, 1200)

(x₂, y₂) =  (1, 1000)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1000 - 1200)/(1 - 0)

m = -200/1

m = -200

The slope of the line is -200.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it shows that the line crosses at point (0, 1200). The y-coordinate of this ordered pair is the value of the y-intercept, b = 1200.

Therefore, the linear equation in slope-intercept form is y = -200x + 1200.

<h3>11) Given the points, (5, -18) and (-4, 0): </h3>

Let (x₁, y₁) =(5, -18)

(x₂, y₂) =  (-4, 0)

Substitute these values into the following <u>slope formula</u>:

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{0 - (-18)}{-4 - 5} = \frac{0 + 18}{-9} = -2

Therefore, the slope of the line is -2.

<h3>15) Solve:</h3>

Given the fixed fee of $200, and the $150 per hour after the initial meeting:

We can represent these in slope-intercept form:

y = 150x + 200

y = total cost for the Attorney's services

x = number of hours worked.

The y-intercept in this given problem is $200, which represents the flat fee charged for the initial meeting. While the slope in this equation is $150, which is the hourly rate that an Attorney charges his clients after the initial meeting.

If an Attorney works for 15 hours, then:

Let x = 15, and substitute its value into the equation to find the total cost:

y = 150x + 200

y = 150(15) + 200

y = 2,250 + 200

y = 2,450

Therefore, a client will pay a total of $2,450 for an Attorney's 15 hours of work.

<h3>16) Solve: </h3>

Given the water level on a Lake of 165 inches after a rainstorm, and the water level's receding rate of 3 inches per day:

We can establish the following linear equation to model this given problem:

L = -3d + 165

Where:

L = represents the water level of the Lake

d = number of days that the water level recedes

In order to find the number of days it will take before the water level recedes to 84 inches:

Substitute the value of L = 84 into the equation:

L = -3d + 165

84 = -3d + 165

Subtract 165 from both sides:

84 - 165 = 3d + 165 - 165

-27 = -3d

Divide both sides by  -3:

\frac{-27}{-3} = \frac{-3d}{-3}

9 = d

Therefore, it will take 9 days for the water level to be at 84 inches.

7 0
3 years ago
Can someone help me and show your work thanks
GREYUIT [131]

Answer:

D) $8.20

Step-by-step explanation:

82 x 0.1 = 8.2

4 0
3 years ago
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Is the following number negative, positive or neither?<br> -6 1/2
Annette [7]

Answer:

negative.

Step-by-step explanation:

what is half of -6?

=-3, negative.

You owe your friend 6 dollars, and you have 0 dollars.

Your friend told you: you only have to pay half the money

so, instead of owing 6 dollars, you owe 3 dollars, which will still be equal to -3 dollars from your wallet :)

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2 years ago
Here is a picture of the Ferris wheel has a radius of 40 m how far does the writer travel in one complete rotation around the Fe
Valentin [98]

Answer:

I'm getting points

Step-by-step explanation:

so I can ask questionss

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2 years ago
What are multiplying EXPONENTRAL terms with the same base which best explains how to simplify the expression
I am Lyosha [343]

Answer:

Adding the exponents

Step-by-step explanation:

Multiplying exponential terms with the same base

To multiply exponents with same base , we use exponential property

a^m \cdot a^m=a^{m+n}

When we multiply exponents with same base then we add the exponents

So, adding the exponents best explains to simplify the expression that has same base with exponents .

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