The vertex form of the equation of a parabola is
f(x) = a( x − h)^2 + k
where (h,k) is the vertex of the parabola. In this case, we are given that (h,k) = (5,0). Hence,
f(x) = a( x − 5)^2 + 0
=a( x − 5)^2
Since we also know the parabola passes through the point (7,−2), we can solve for a because we know that f(7) = −2.
a( 7 − 5)^2 = -2
a(2)^2 = -2
4a = -2
a = -1/2
Thus, the given parabola has equation
f(x) = -1/2(x − 5)^2
Answer:
- quadratic polynomial
- minimum at (1, -9)
- decreasing on (-1, 1)
Step-by-step explanation:
1. First differences in the y-values are ...
... -5-0 = -5; -8-(-5) = -3; -9-(-8) = -1; -8-(-9) = 1; -5-(-8) = 3; 0-(-5) = 5
Second differences are ...
... -3-(-5) = 2; -1-(-3) = 2; 1-(-1) = 2; 3-1 = 2; 5-3 = 2
These 2nd differences are constant, so the points can be described by a 2nd-degree polynomial.
2. Values on the graph range from 0 to a low of -9 and back up to 0. There is a minimum at (1, -9).
3. The value at x=-1 is -5; at x=1, it is -9, which is less than -5. The function is decreasing on the interval -1 to 1.
Answer:
The ratio of gallons of blue paint to gallons of yellow paint that make the same shade of green paint is 5/9
Step-by-step explanation:
The ratio represents how many units are of one kind compare with another kind.
In this case , we are comparing gallons of blue paint with gallons of yellow paint. To get the green color we use 5 gallons of blue paint with every 9 gallons of yellow paint To get the ratio we divide both amounts.
Toy cost = $50
A.T.Q,
Markup = 50*45 / 100 = 22.5
(B)$22.50 is your answer.
Answer:
x=5,x=-5
Step-by-step explanation:
The screenshot below will explain the answer