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ANTONII [103]
1 year ago
9

Y + 6 = 5(x - 4)Write the formula for f(x) in terms of x​

Mathematics
2 answers:
polet [3.4K]1 year ago
6 0

Answer:

y = 5x - 26

Step-by-step explanation:

y+ 6 = 5 (x - 4)

1. distribute the 5

y + 6 = 5x - 20

   -6            -6

2. Subtract 6 from each side

y = 5x - 26

done!

Mandarinka [93]1 year ago
5 0

The formula for f(x) in y + 6 = 5(x - 4) in terms of x is f(x) = 5(x - 4) - 6

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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.6
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Answer:

Below.

= 99.7%

= 100 - 99.7%/2

= 0.3/2

= 0.15%

100% - 0.15%

= 99.85%

5 0
2 years ago
Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont
love history [14]

Answer:

\approx 17.5% per annum

Step-by-step explanation:

<u>Given:</u>

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

<em>Interest is compounded annually.</em>

<u>To find:</u>

Rate of growth = ?

<u>Solution:</u>

First of all, let us have a look at the formula for compound interest.

A = P \times (1+\frac{R}{100})^T

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%

So, the correct answer is \approx <em>17.5% </em>per annum and compounding annually.

6 0
3 years ago
Write an equation that represents the line passing through the point -3, -1 with a slope of 4
Alex17521 [72]

Answer:

Equation that represents the line passing through the point -3, -1 with a slope of 4 is

y= 4x+11

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m=4 \ \ \ and \ \ \ (x_1, y_1) = (-3, -1)

Substituting values in equation (1)

y+1=4(x+3)\\ y= 4x+11

4 0
3 years ago
Im a little confused on this on can someone help me with this thanks!
Arlecino [84]
This is a bit confusing, double check if you typed everything correctly.
6 0
2 years ago
Read 2 more answers
What is the slope of the line that contains the points (5, 5) and (8, 3)?
alexgriva [62]

Slope = (Y2 - Y1) / (X2 - X1)

Slope = (5 - 3) / (5 - 8) = 2/-3 = -2/3

Answer: (B) -2/3

5 0
3 years ago
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