Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
ANSWER
(3, 11) and (−3, −7)
EXPLANATION
The given system of equations are:

and

or

We equate the two equations to obtain,

We rewrite in standard quadratic form to obtain,

This simplifies to

We solve for x to obtain,




When


When x=-3,

Therefore the solution for the system is (3, 11) and (−3, −7).
Vertex form:
y = a(x - h)² + k
I have not learned this stuff yet, but by using online calculators, I can determine that the vertex form is:
Y = (x - 4)² - 19
I believe so :/
Answer:
3p^5+p^3+12p^2+4
Step-by-step explanation:
Answer:
2.5mph (miles per hour)
Step-by-step explanation:
Simple, 12.5/5 = 2.5 mph (miles per hour)