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Svetradugi [14.3K]
3 years ago
10

Write the equation of a line that includes the point (-4 , 0) and has a slope of -3/5 in slope intercept form

Mathematics
2 answers:
ololo11 [35]3 years ago
8 0

y = (-3/5)x -12/5

Thats it

erastovalidia [21]3 years ago
4 0
Answer:  " y =  (-3/5)x  −  4 " .
______________________________________________ 
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Which equation is equivalent to 5(d+1)
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Answer:

5d + 5

Step-by-step explanation:

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A new car loses value at a constant rate. You purchase a new car for $21,500. After 3 years the value of the car was $14,120. Wh
Airida [17]

Answer:

Step-by-step explanation:

If the car is depreciating at a constant rate, this indicates that the function is linear.  We can find the equation for the linear function by first finding the slope of the line.  Let's do that using the slope formula.  The coordinates we will use to do this are found in (year, value).  Our coordinates are (0, 21500) and (3, 14120).  The first coordinate says that before any time goes by at all, meaning when the car was brand new, its value was 21500.  The second coordinate says that after 3 years, the value of the car was 14120.

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Filling in:

m=\frac{14120-21500}{3-0}=\frac{-7380}{3}=-2460

This is the slope.  In the context of our problem, it means that for each year that goes by, the car's value goes down $2460.  

Now we can use that slope and one of our coordinates to write the equation of the line.   We can choose either one of the coordinates to write our equation.  Let's use the first one, since it will be easier.  Rest assured that regardless of which one you choose, you will get the same equation. We fill in the slope-inteercept form of a line, y = mx + b, where y is the y value from the coordinate, m is the slope we solved for, x is the x value from the same coordinate, and b is the y-intercept.  We are solving for b.

21500 = -2460(0) + b and

21500 = 0 + b so

b = 21500.  Our equation, then, is

y = -2460x + 21500

If we want to find the value of the car, y, in 5 years, x, we plug in 5 for x and solve for y.

y = -2460(5) + 21500 and

y = -12300 + 21500 so

y = $9200

That means that in 5 year the car will be worth only $9200 when it is 5 years old.

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3 years ago
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3 years ago
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%,
castortr0y [4]

Median would be 80.75 or 79


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3 years ago
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Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0
3 years ago
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