Answer:
a = 4, p = 2, q = - 1
Step-by-step explanation:
Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.
a(x - p)² + q ← expand (x - p)² using FOIL
= a(x² - 2px + p²) + q ← distribute parenthesis
= ax² - 2apx + ap² + q
Compare coefficients of x² term
a = 4
Compare coefficients of x- term
- 2ap = - 16, that is
- 2(4)p = - 16
- 8p = - 16 ( divide both sides by - 8 )
p = 2
Compare constant terms
ap² + q = 15 , that is
4(2)² + q = 15
16 + q = 15 ( subtract 16 from both sides )
q = - 1
Thus a = 4, p = 2, q = - 1
4-(22÷ -11+11)
4-(-2+11)
4-9
-5
Answer: 35
Step-by-step-explanation:
There are 20 numbers. So, it would be 7 divided by 20. Which is 0.35. And 0.35 multiply by 100 is 35.
Answer:
100(1.8) – 1.2x > 100
Step-by-step explanation:
Just took the assessment :)
When using substitution, you want to solve an equation for one variable that doesn’t make the equation worse to work with.
The general idea is that you want to find a variable that has a coefficient of 1 or -1.
In 2.5x - 7y = 7.5, both variables have “bad” coefficients.
In 6.2x - y = 1, the y has a coefficient of -1. That’s where you want to start.
