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Sunny_sXe [5.5K]
2 years ago
9

The line represented by the equation y=-3/2x is translated up 3 units.

Mathematics
1 answer:
kati45 [8]2 years ago
8 0

Answer:

(0, 3)

Step-by-step explanation:

     In slope intercept form, the y-intercept is the "b" or, in an example:

           y = mx + b

     - m is the slope

     - b is the y-intercept

     In our first equation, the b is 0 (y=-3/2x, there is no +/- b, so it is 0). If we add positive 3 (up 3 units) then the y-intercept will be 3. This, in a point, is shown with (0, 3) because the y-intercept is where the line hits the y-axis when x is 0.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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Step-by-step explanation:

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The equations of two functions are y=-21x+9 and y=24x+8 which function is changing more quickly? Explain
antoniya [11.8K]

Given:

The equations are

y=-21x+9

y=24x+8

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

y=mx+b

Where m is slope and b is y-intercept.

On comparing y=-21x+9 with the slope intercept form, we get

m_1=-21

|m_1|=|-21|

|m_1|=21

On comparing y=24x+8 with the slope intercept form, we get

m_2=24

|m_2|=24

Since, |m_1|, it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

3 0
3 years ago
In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int
muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount
  • r is the annual interest rate in decimal
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ 5000=P(1+\frac{0.03}{12})^{(12)(2)}

∴ 5000=P(1+0.0025)^{24}

∴ 5000=P(1.0025)^{24}

- Divide both sides by (1.0025)^{24}

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

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Answer:

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