Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
Where a is the leading coefficient.
We are given the following function:
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
Taking out the -1:
Factoring the trinomial and operating:
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
FIRST section: x^2-3x+2 = x^2-x-2x+2=(x^2-x) -2x+2 = (x^2-x) -2(x-a million) = x(x-a million) -2(x-a million) = (x-2)(x-a million) 2nd section: x^-4 = x^2- 2^2 = (x-2)(x+2) So now your equation looks like this: FIRST section / 2nd section or (x-2)(x-a million) / (x-2)(x+2) and this comes out at (x-a million) / (x+2), so the respond is B.
Answer: 40%
Step-by-step explanation:
To write 8/20 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 8/20 * 100 = 0.4 * 100 = 40% And finally we have: 8/20 as a percent equals 40%
4/5 divided by 1/8
= 4/5 x 8/1
32/5
= 6.4 cupcakes or 6 cupcakes if they’re looking for a whole number
The answer to which is bigger is -5 because it is closer to zero
