Jackson’s car was making a rumbling noise for two 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 fee of $60 and $35 for each hour he spends trying to identify the problem.



A. Write a linear equation in ​y = mx+b​ form to represent the cost of getting Jackson’s car diagnosed.

B. Identify the slope and y-intercept, and what they mean in the context of the story.

C. Does this situation represent a proportional relationship? Why or why not?

Answer:

(8; 4), (-6; -4) and (2; 8)

Answer:

A    :)

Step-by-step explanation:

Law of Syllogism: q=r  r=q

If complementary angles = 90-degree angles, then 90-degree angles = complementary angles

Answer:

B) x = 20

Step-by-step explanation:

The formula for finding the missing side of a right triangle is: a^2+b^2=c^2.

C represents the longest side of the right triangle, so if we plug in the given lengths, we can solve: 12^2 + 16^2 = x^2

Solve the exponents: 144 + 256 = x^2

Add: 400 = x^2

Find the square root: 20 = x

Answer:

angles 1 and 6

Step-by-step explanation:

Vertical angles because they share the same Vertex.

One pair of vertical angles in the figure from the options is ∠1 and ∠6.

Vertical angles are angles that are opposite each other at the intersection of two lines. They are also called vertically opposite angles or non-adjacent angles with the same vertex. They have the same angle measurement or size.

Given is a figure, we need to determine the vertical angles in that,

The vertical angles are -

∠2 and ∠5

∠3 and ∠8

∠7 and ∠4

Hence, one pair of vertical angles in the figure from the options is ∠1 and ∠6.

Learn more about vertical angles, click;

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Answer:

It's the 2nd one

Step-by-step explanation

Answer:

Step-by-step explanation:

lets solve the problem 7x+2=3x+10

subtract 3x from 7x

4x+2=10

subtract 2 from 10

4x=8

divide both sides by 4

x=2

to find VU plug in 2 for x so...

3(2)+10

6+10

16

I hope this helped you :)

Step-by-step explanation:

7x + 2 = 3x + 10

7x - 3x + 2 = 3x - 3x + 10

4x + 2 = 10

4x + 2 - 2 = 10 - 2

4x = 8

4x ÷ 4 = 8 ÷ 4

x = 2

VU = 3x + 10

VU = 3(2) + 10

VU = 6 + 10

VU = 16

Answer:

S= 15W

Step-by-step explanation:

Given data

We are told that Amanda saves $15 per week for her summer vacation

Let her total savings be S

and the number of weeks be W

Hence the expression for her savings is

S= 15W

Answer:

Hi, I love these types of questions. So, ima teach you how to find the answer. If your only looking for an answer, skip to the bottom. So, what your trying to find is the solution to 3/10 divided by 6/11. So, remember, copy, dot, flip.

Copy- Copy the equation- 3/10 6/11

Dot- Change the division sign to multiplication- 3/10 X 6/11

Flip- so, this is where it gets a bit tricky. You wanna flip the numerator and denominator on the second fraction- 3/10 X 11/6

now multiply across-

33/60

simplify

11/20

Your answer is 11/20

Answer:

6

8

,

9

12

,

12

16

Step-by-step explanation:

Answer:

ccccccccaas

Step-by-step 334explanation:

acaccacacacss

Answer:

-7/15, if you dont know how that looks here is a picture

Answer:

x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+3−2x=24

Step 1: Simplify both sides of the equation.

5x+3−2x=24

5x+3+−2x=24

(5x+−2x)+(3)=24(Combine Like Terms)

3x+3=24

3x+3=24

Step 2: Subtract 3 from both sides.

3x+3−3=24−3

3x=21

Step 3: Divide both sides by 3.

Answer: x=7

Step-by-step explanation:

Given

5x + 3 - 2x = 24

Subtract both sides by 3

5x + 3 - 3 - 2x = 24 - 3

5x - 2x = 21

Simplify

3x = 21

Divide both sides by 3

3x / 3 = 21 / 3

x=7

Hope this helps!!

Please let me know if you have any questions

Answer:

14x-8

Step-by-step explanation:

hope this help

Answer:

Other person is correct

Step-by-step explanation:

2(7x - 4)

Multiply 2 × 7x = 14x

Multiply 2 × 4 = 8

Put together to get 14x - 8

Answer:

1.108

[tex]729 = {n}^{6} \\ \sqrt[6]{729} = \sqrt[6]{ {n}^{6} } \\ n = 1.108[/tex]

Answer:  I dont think so

Step-by-step explanation:

Answer:

y = 3/-4x + 2

Step-by-step explanation:

Answer:

slope = [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

1) To find the slope between a pair of points, use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through. [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through. We know the line passes through (-4,5) and (0,2). So, substitute their x and y values for the formula (following the appropriate order) and solve:

[tex]\frac{(2)-(5)}{(0)-(-4)} \\= \frac{2-5}{0+4} \\= \frac{-3}{4}[/tex]

Thus, the slope is [tex]-\frac{3}{4}[/tex]

9514 1404 393

Answer:

  cos(θ) = (5√74)/74

Step-by-step explanation:

The length of the hypotenuse is given by the Pythagorean theorem:

  h = √(5² +7²) = √74

The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:

  cos(θ) = 5/√74 = (5√74)/74

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2(x+3)  Question

Step 2

-2(x+3)  Simplify

(-2)(x)+(-2)(3)

Step 3

(-2)(x)+(-2)(3)  Add and subtract

-2x-6

Answer

-2x-6

Hope this helped

Answer:

Initial value = 10, slope = 4

Step-by-step explanation:

Initial value is the point where x takes its lowest value. In this case it is x = 0 and y = 10. Rate of change is the slope at a given point. Because this is a first order equation graph the slope is always the same. And in this case it is 4 as for every 1 unit of x the y goes 4.

Answer:

Here!

Step-by-step explanation:

Answer:

Step-by-stepexplanation:

The y axis is the vertical line. b is y intercept, meaning where the line crosses the y axis. here b is 2, so plot a point on (0,2). m is the slope. slope is rise/run, and your slope is -1/2. this means your rise is negative one, (go down one) and you run is positive two (go two to the right) and plot your point. then you connect this point to the first point and extend the line on both sides. hope this helps :)

NUMBER: 17        SQUARE: 289        SQUARE ROOT: 4.123

Hope this helps a little.

Answer:

a. 4 and 5

Step-by-step explanation:

We are given 17 squared, and are asked on whether which of it is between the following pairs.

Squaring a number always gives it a smaller number since you are trying to find a number times itself to make the number in the square root.

Therefore by this knowledge, a. would be the most reasonable answer, since 17 is quite a small number, squaring it will equal something smaller.

Answer:

person above me said 530,00 so ima say 530,00

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(7.46-2.66)/5 do that and you have the answer (I'm lazy)

Step-by-step explanation:

The equation for jj is ($7.46 - $2.66) / 5 and the cost of each bottle of juice is $0.96

The first step to take in order to determine jj, is to determine the total cost of the  5-pack of juice bottles.

Cost of the  5-pack of juice bottles = Total cost before tax - cost of the bag of oranges

Cost of the  5-pack of juice bottles = $7.46 - $2.66 = $4.80

The second step is to determine the cost of each bottle of juice

The cost of each bottle of juice = Cost of the  5-pack of juice bottles / total number of bottles

$4.80 / 5

= $0.96

The previous steps can be summarized into this equation :

The cost of each bottle of juice = (Total cost before tax - cost of the bag of oranges) / total number of bottles

= ($7.46 - $2.66) / 5

= $0.96

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Answer:

10/3

Step-by-step explanation:

15+2w=5w+5

15=5w-2w+5

15=3w+5

3w=15-5

3w=10

w=10/3

Answer:

10/3=w

Step-by-step explanation:

15+2w = 5w+5

15=3w+5

10=3w

10/3=w

Answer:

D

Step-by-step explanation:

The graph is positive and it's obviously not linear making the answer D

Answer:

C) t<=-4

Step-by-step explanation: