Answer:
2x² + 3x
Step-by-step explanation:
Using distributive property, you can multiply the variable outside the parenthesis to both terms inside the parenthesis:
x(2x + 3) = 2x(x) + 3(x) or 2x² + 3x
When multiplying with the same base, you will add the exponents.
Answer:
Step-by-step explanation:
Yes
We have:

Thus:

Adding

gives:

Factoring gives:

Thus, we have:

or

.
Note that because

, there will be no solutions

of the form

for positive integer

and solution

. So we find the basic values of

giving

.
For

with positive

,

(this can be seen easily from the unit circle. But

, a contradiction. So we examine the case in which

.
In this case,

. So this is the only solution to this equation.
Substituting this back in, we have

, as desired. So this is a valid solution.
Thus,

.
Answer:
y = x/2 +4
Step-by-step explanation:
new slope = -1/-2 = 1/2
x1 = -4, y1= 2
y-y1 = m(x-x1)
y - 2 = 1/2 {x- (-4)}
y-2 = 1/2 (x+4)
y-2 = x/2 + 2
y = x/2 +2+2
y = x/2 +4
4 dollars and 5 cents ($4.05) :)))