Answer:
1. Exact Form: 71/28 Mixed Number Form: 2 15/28
2. Exact Form: 27/10 Mixed Number Form: 2 7/10
3. Exact Form: 5/6
4. Exact Form: 5/4 Mixed Number Form: 1 1/4
5. Exact Form: 25/12 Mixed Number Form: 2 1/2
Step-by-step explanation:
Given,
A sign company charges $28 per yard for each custom-made banner.
Ms.Gill orders two banners that are each 178 yards long, and one banner that is 258 yards long.
To find,
Total money paid by Ms. Gill.
Solution,
Total length of 2 banners of 178 yards = 356 yards
Third banner is 258 yards long.
Total length of the banners = 356 + 258
= 614 yards
The cost of each banner = $28 per yards.
Total amount paid by Ms. Gill is :
= $28 × 614
= $17,192
Hence, she will pay $17,192 for all the three banners.
Answer:
Option A:
y = 3*(x - 5)^2 - 4
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
with the vertex (h, k), we can rewrite the function as:
such that:
h = -b/2*a
y = a*(x - h)^2 + k
Here we have the function:
y = 3*x^2 - 30*x + 71
the x-value of the vertex will be:
h = -(-30)/(2*3) = 30/6 = 5
And k is given by:
k = y(5) = 3*(5)^2 - 30*5 + 71 = -4
Then the vertex is:
(5, - 4)
And we can rewrite the equation in the vertex form as:
y = 3*(x - 5)^2 + (-4)
y = 3*(x - 5)^2 - 4
Then the correct option is A.
Conic sections are defined using a directrix (<span>a fixed line used in describing a curve or surface) and a focus, and those are: parabola, ellipse, and hyperbola. </span>
