A
Given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then
The x-coordinate of the vertex is
= - 
y = - 3x² + 2x - 7 is in standard form
with a = - 3, b = 2 and c = - 7, hence
= - 
= 
Substitute this value into the equation for y-coordinate
y = - 3 ()² + 2 ( ) - 7
= - + 
- 
= - 
vertex = ( , - ) → A
Answer:
False
Step-by-step explanation:
The statement is False, because the average value of a funciton f(x) on an interval is given by the value of the integral of the function on that interval divided by its length. In this case, the integral is right, but we are not integrating exactly f, and thats why the average value is not given correctly.
Given:
grams of fat : 34 grams TO weight of woman : 102 pounds
grams of fat : ? TO weight of woman : 180 pounds
This is a proportion problem: 34 grams to 102 pounds.
We first have to convert a unit of measure to another to maintain uniformity of measure. let us convert pounds to grams:
102 pounds * 453.592 grams / pound = 46,266.384 grams
180 pounds * 453.592 grams / pound = 81,646.560 grams
34 grams to 46,266.384 grams = x grams to 81,646.560 grams
proportion: a:b = c:d where ad = bc
34 grams * 81,646.560 grams = x * 46,266.384 grams
2,775,983.04 grams² = x * 46,266.384 grams
2,775,983.04 grams² ÷ 46,266.384 grams = x
60 grams = x
A woman weighing 180 pounds should eat 60 grams of fat to maintain her weight.
The answer to the question is a
