The <em>correct answer</em> is:
maximum: 116
; range: y ≤ 116
Explanation:
This is a quadratic equation in standard form, which is y=ax²+bx+c. The maximum or minimum of a quadratic function is the vertex. To find the x-coordinate of the vertex, we find the axis of symmetry. This is given by the formula x=-b/2a:
x = -32/2(-2) = -32/-4 = 8
To find the y-coordinate, plug this into the equation:
y = -2(8²)+32(8)-12
y=-2(64) + 256 - 12 = -128+256-12 = 128-12 = 116
The coordinates of the vertex are (8, 116).
To determine if this is a maximum or minimum, look at the value of a. It is -2. Since it is negative, this means the parabola opens downward, and the vertex is a maximum.
Since this is a maximum at y=116, this means the range, our y-values, will be less than or equal to this value of 116.
Answer:
area is 90 and perimeter is 46
Step-by-step explanation:
the area for a rectangle is l * w, so 18*5 is 90, and the perimeter is 2l+2w, which is 46.
Step-by-step explanation:
You can just divide 10 by 2/5 and you get 25 or try this
Set up proportions and cross multiply 2/5 / 1 = 10/x which you can read as : if 2/5 can be done in 1 hour then 10 tons can be done in x hours cross multiplying, you get 2x/5 = 10 and x = 25
Answer:
-8.9
Step-by-step explanation:
It is 7 no work to show it’s easy