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
Answer:
General Formulas and Concepts:
<u>Calculus</u>
- The derivative of a constant is equal to 0
Step-by-step explanation:
<u>Step 1: Define function</u>
y = 152 + 26 - 37
<u>Step 2: Simplify</u>
<em>Combine like terms</em>
y = 141
<u>Step 3: Find derivative</u>
<em>Derivative of any constant will be 0.</em>
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Well if she is making dinner for 10 people and each person want 2 pieces then you need to multiple 10 x 2 = 20. So she is going to need to make 20 pieces.
If each of her pumpkin pies only has 8 pieces then she is going to have to make 3 pies.
3 pies x 8 pieces = 24 pieces of pumpkin pie. So she has to make 3 pies because she needs 20 pieces since everyone wants 2.
In conclusion Mrs. Owens has to make 3 pies and she is going to have 4 pieces left over.
Answer:
[1, 3]
Step-by-step explanation:
g(x) = f(2x), so g(x) is f(x) compressed horizontally by a factor of 2. Vertically, it is not changed.
Therefore, the ranges are identical.
3:7 is the ratio 3 ham for every 7 pizzas
