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3 years ago

Find an equation of the line through (3,7) and parallel to y=3x-1

Mathematics

1 answer:

iren2701 [21]3 years ago

7 0

Answer:

y = 3x -2

Step-by-step explanation:

If the line is parallel, that means it has the same slope. The given equation had a slope of 3, so the new line must also have a slope of 3.

You can plug the given coordinates into the slope-intercept form with a slope of 3 to find your answer.

y = m*x + b

7 = 3*3 + b

7 = 9 + b

-2 = b

y = 3x -2

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A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4

Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = $\frac{x}{2}$

So, value of car after depreciation in another 4 years = Half of the value after 4 years = $\frac{1}{2}(\frac{x}{2})=\frac{x}{4}$

Therefore, final depreciated value after 8 years is $\frac{x}{4}$ .

But, as per question, final depreciated value is $5000. Thus,

$\frac{x}{4}=5000\\x=5000\times 4\\x=20000$

Therefore, the original price of the car was $20,000.

3 0

2 years ago

The population of a town is 20,000 and is decreasing at a rate of 5% per year. What is the population after 23 years?

AVprozaik [17]

I believe the answer should be approximately 6,147 because you would plug into the equation y=20,000(.95)^t, where t=23.

6 0

3 years ago

Explain or show work to prove that the following equation is true.6 x 8 = 3 x 2 x 2 x 2 x 2

mr Goodwill [35]

Answer:

see explanation

Step-by-step explanation:

To prove the equation id true, solve both sides and if they are equal then the equation is true.

left side = 6 × 8 = 48

right side = 3 × 2 × 2 × 2 × 2

= 6 × 2 × 2 × 2

= 12 × 2 × 2

= 24 × 2

= = 48

Since both sides are equal then the equation is true

5 0

2 years ago

The difference of 5 and twice a number is 37

I am Lyosha [343]

Answer:

5 - 2n = 37

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What property allows 3=x to be written as x=3

borishaifa [10]

It's the same thing, the different is depends in which side was x

5 0

2 years ago