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Write the equation for a line that has an initial value of 3 and 3/4 as it’s rate of change

frutty [35]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.

$(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3$

3 0

2 years ago

2 An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration

Bond [772]

Answer:

The equation should be, 65m+25=c

3 0

3 years ago

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Simplify: √27 A. 3√3 B. 9√3 C. 3√9 D. 5√3

blagie [28]

To simplify square root 27, find two numbers that equal 27. But also, one of the numbers should be a perfect square (such as 4, 9, 36...).

9*3=27. The square root of 9 is 3, which makes it a perfect square. So, the answer is A.

5 0

3 years ago

Determine the simple interest when: principal: $205,435 interest rate: 2.8%, time: 15 year

Vesna [10]

Step-by-step explanation:

<h3>principle (p) = $205,435</h3><h3>rate (r) = 2.8%</h3><h3>time (t) = 15 years</h3><h3>simple interest = (p × r × t) ÷ 100</h3><h3> = (205,435 × 2.8 × 15) ÷ 100</h3><h3> = 8,628,270 ÷ 100</h3><h3> = 86282.7</h3>

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4 0

2 years ago

If 9 is subtracted from two thirds of a number , the result is 7. find the number.

ankoles [38]

So what you do is (2/3)x-9=7. Add 9 to both sides (2/3)x=16. Multiply by reciprocal on both sides 16 x (3/2). 16 x 3 = 48. 48/2=24

7 0

3 years ago

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