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mixas84 [53]
3 years ago
13

​ y=−2x−5 y=2x−2 ​

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Answer:

work is shown and pictured

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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
Find the Perimeter and Area
igor_vitrenko [27]

Answer:

Area = 20.28 cm^2

Perimeter = 16.28 cm

Step-by-step explanation:

The figure is composed of a half circle and a rectangle,

The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.

Therefore the area is :

Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2

The perimeter is :

Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm

3 0
2 years ago
Order these numbers form least to greatest<br><br> 7 and 4/11, 7.362, 147/20, 7.99
mash [69]
7, 4/11, 7.362, 147/20, 7.99
7 0
3 years ago
Read 2 more answers
I NEED HELP ASAP PLEASE!! I WILL AWARD BRAINLIEST
Irina-Kira [14]

9514 1404 393

Answer:

  • x ≥ 7
  • 54 -6m
  • y -x

Step-by-step explanation:

You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.

108. |x -7| = x -7 . . . . . true for x-7≥0

  x ≥ 7 . . . . makes the statement true

__

1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:

  54 -6m . . . . . simplified form for m < 9

__

1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive

6 0
3 years ago
What is the answer to 13= x/4 <br><br><br> ​
Arlecino [84]

Answer:

52

Step-by-step explanation:

13 = x/4

To isolate the x, you have to multiply 4 on each side.

x/4 * 4= x

13 * 4 = 52

x = 52

8 0
3 years ago
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