F = {(-3, -4),(-1,5), (3,1),(2, -4)} What’s the domain

PLEASE HELP!!! Jeanie is 21 years old. She opens an account that pays 3.9% interest compounded monthly. She

Harlamova29_29 [7]

Answer:

$11,170

Step-by-step explanation:

First you convert the percentage to decimal form out of 100 (which you divide)

3.9%/100 = 0.039

A = P(1 + rt)

A = 10000(1 + 0.039 * 3) ( * = multiplication)

I = $11,170 - 10,000 = $1,170

Which you should get $1,170.00 or $1,170 (which is pretty much the same thing)

Hope this helps!

6 0

3 years ago

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

klio [65]

<h3>Explanation:</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>Answer</h3>

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

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

True or false (Picture provided)

aksik [14]

<h2>Answer:</h2><h3>False</h3><h2>Step-by-step explanation:</h2>

Let's find the inverse function of $f(x)=(x-3)^3+4$ to know whether this function has an inverse function $f^{-1}(x)=-3+\sqrt[3]{x+4}$ . So let's apply this steps:

a) Use the Horizontal Line Test to decide whether $f$ has an inverse function.

Given that f(x) is a cubic function there is no any horizontal line that intersects the graph of $f$ at more than one point. Thus, the function is one-to-one and has an inverse function.

b) Replace $f(x)$ by $y$ in the equation for $f(x)$ .