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2 years ago

Rewrite the equation 2=-5+(2y+2x) in slope intercept form

Mathematics

1 answer:

solong [7]2 years ago

4 0

Answer:

y = -x + 7/2

Step-by-step explanation:

the general equation would be y=mx+c, so you need to make sure your equation will follow that template.

First, bring -5 to left hand side and it will be 2+5=2y+2x

Then, bring 2x to left side to let 2y alone

2+5-2x = 2y

Let y be an alone variable by bringing 2 to the left

(2+5-2x)/2 = y

Simplify.

y= -x + 7/2

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Step-by-step explanation:

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2 years ago

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2 years ago

A total of $12,000 is invested at an annual interest rate of 9%. Find the balance

sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First lets change 9% into a decimal:

9% -> $\frac{9}{100}$ -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

$A=12,000(1+\frac{0.09}{4})^{4(5)}$

$A=18,726.11$

The balance after 5 years is $18,726.11

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3 years ago

Factor over the complex numbers, if possible: x² + 2xyi - y2 What is the answer?

yanalaym [24]

9514 1404 393

Answer:

(x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

(a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

x² +2xyi +(yi)² = (x +yi)²

8 0

2 years ago

Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of

labwork [276]

Answer:

a) $G(x)= \sin x + 2$

b) The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

$y = \sin x$

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

$\boxed{G(x)= \sin x + 2}$

b) The coordinates of P correspond to the value of

$x = \frac{3\pi}{2}$

The value of G is

$\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2$

Since

$\sin \frac{3\pi}{2}=-1$

$\displaystyle G(\frac{3\pi}{2})= -1+ 2=1$

The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

8 0

2 years ago