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Arte-miy333 [17]

3 years ago

8

The sum of two numbers is 7. The larger number is 16 more than 2 times the smaller number. What are the numbers?

1 answer:

andreyandreev [35.5K]3 years ago

5 0

The two numbers are 10 and -3.

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Which equation is the inverse of y = 100 – x2?

slavikrds [6]

I am so sorry I’m not too sure on answering this question

3 0

3 years ago

Rewrite, differentiate and simplify:<br> 3/(2x)^3

Llana [10]

$\frac{dy}{dx}$ = - $\frac{9}{8x^{4} }$

let y = $\frac{3}{(2x)^{3} }$ = $\frac{3}{8}$ $x^{-3}$

differentiate using the power rule

$\frac{d}{dx}$ ( $ax^{n}$ ) = na $x^{n-1}$

$\frac{dy}{dx}$ = - $\frac{9}{8}$ $x^{-4}$ = - $\frac{9}{8x^{4} }$

8 0

3 years ago

Change the fraction 3/4 to a percent.

Levart [38]

There is 100% in 1 since this is three parts of 1 we will have to divide 100 by 4 then multiply it by 3.
After you do all the math you will get 0.75.
You can convert this to a percent by just removing the point and the zero and adding a percent at the end.
The answer is going to be 75%

5 0

3 years ago

Simplify 7 – (–12) – 5

kherson [118]

Answer:

14

Step-by-step explanation:

1. Do the "Two Mark" Rule

- 7 + (+12) - 5

2. Do your addition before subtracting

- 7 + 12 = 19

3. Subtract your remaining two numbers

- 19 - 5 = 14

5 0

4 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3><u>Explanation</u><u>:</u></h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3><u>Answer</u></h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

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7 0

3 years ago