We first factor this quadratic. We want factors of c, -12, that sum to b, -1; -4(3) = -12 and -4+3 = -1, so those are the two we will use:
y=(x-4)(x+3)
The zero product property tells us that in order to get a product of zero, one of the factors must be zero. This means either x-4=0 or x+3=0. We solve both of these equations to find the roots, or x-intercepts:
x-4=0
x-4+4=0+4
x=4
x+3=0
x+3-3=0-3
x=-3
Answer:
Year 1: 164.87
Year 2: 169.88
Year 5: 185.86
Step-by-step explanation:
She is earning 3% interest per year that compounds once yearly.
Answer:
Problem 10:
Input X: -2, -1, 0, 1, 2
Output Y: -2, 1, 2, 1, -2
Nonlinear, exponential because there's an exponent. Plug the X values in place of X and solve solution to get Y values. Then graph
Problem 11: Linear because there's no exponent
Using the Pythagorean Theorem, it is found that Barrie is 12 miles from Luke's house, in a straight line.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs and of a right triangle with the length of the hypotenuse h, according to the following equation:
This problem can be modeled by a right triangle, with , hence:
Barrie is 12 miles from Luke's house, in a straight line.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
Answer:
1.09
Step-by-step explanation:
<u>Order of operations</u>
<u>(</u>7 + 5) = 12
19 *4 = 76
<u>Simplify</u>
12 + 76 = 88
96/88
<u>Solve</u>
96/88 = 1.09