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Novosadov [1.4K]
3 years ago
9

Jackson's car was making a rumbling noise for 2 weeks. He decided to take it to the mechanic to get it checked out. To diagnose

the problem, the mechanic tells Jackson that he charges a flat, one-time fee of $60 and then $35 for each hour he spends trying to identify the problem. What is the slope in this scenario?
Mathematics
1 answer:
musickatia [10]3 years ago
4 0

Answer:

The slope is 35

Step-by-step explanation:

Given

One\ Time\ Fee = \$60

Hourly\ Rate = \$35

Required

Determine the slope

First, we need to determine the equation.

Let y represents the total charges and x represents the number of hours.

y is calculated using;

y = One\ Time\ Fee + Hourly\ Rate * x

This gives:

y = 60 + 35* x

y = 60 + 35x

Reorder

y =35x + 60

The general form of an equation is:

y =mx + b

Where m represents the slope

By comparison of y =mx + b and y =35x + 60

m = 35

<em>Hence, the slope is 35</em>

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What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
brilliants [131]

Answer:

Step-by-step explanation:

If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula \frac{y_2-y_1}{x_2-x_1}. You can also graph the two points and use rise over run. \frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1

8 0
3 years ago
A car purchased for $20,000 depreciates annually at a rate of 8%. The value of the cart years after its purchase is given by the
monitta

Answer

Step-by-step explanation:

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3 years ago
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100 Points! What are the classifications of each system?
alexdok [17]

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

x+5y=-2\\x+5y=4

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

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

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

so

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

3x+y=4 ----> equation A

-6x-2y=-8 ----> equation B

Multiply equation A by -2 both sides

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

-6x-2y=-8 ----> equation C

Compare equation B and equation C

Are identical lines

so

The system has infinity solutions

therefore

Is a consistent dependent system

4 0
3 years ago
3(n+4)=21 what does n =?
Brilliant_brown [7]

Answer:

3.

Step-by-step explanation:

3(n + 4) = 21

3n + 12 = 21

3n = 21 - 12 = 9

n = 3.

7 0
3 years ago
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Two stabilizing wires extend from the top of a pole to the ground, forming right triangles on
FrozenT [24]

Answer: the height of the pole is 16.1 m.

Step-by-step explanation:

The scenario is illustrated in the attached photo.

x represents the height of the pole.

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent side.

Considering triangle ACD,

Tan 60 = x/y

x = ytan60 = y × 1.732

x = 1.732y- - - - - - - - -1

Considering triangle BCD,

Tan 38 = x/(30 - y)

x = (30 - y)tan38 = 0.781(30 - y)

x = 23.43 - 0.781y- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

1.732y = 23.43 - 0.781y

1.732y + 0.781y = 23.43

2.513y = 23.43

y = 23.43/2.513

y = 9.3

x = 1.732y = 1.732 × 9.3

x = 16.1 m

6 0
3 years ago
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