Answer:
y = -x -2
Step-by-step explanation:
The graph has a slope of -1 and a y-intercept of -2.
The equation is therefore
y = -x -2
The area of the rectangle is represented by the function h(x) = 15x^2 - 41x + 14.
Option D is the correct answer.
<h3>
How do you calculate the area of the rectangle?</h3>
Given that the functions are,
and 
The area of the rectangle is given below.




Hence the area of the rectangle is represented by the function h(x) = 15x^2 - 41x + 14. Option D is the correct answer.
To know more about the area of the rectangle, follow the link given below.
brainly.com/question/16719731.
Answer:
c) 27 feet
Step-by-step explanation:
<h3>
Answer: a = 9</h3>
===========================================================
Explanation:
Vertex form in general is
y = a(x-h)^2 + k
The given vertex is at (3,6) meaning (h, k) = (3, 6)
So h = 3 and k = 6 are plugged into the first equation shown above
y = a(x-h)^2 + k
y = a(x-3)^2 + 6
Now plug in x = 1 and y = 42, which is from (x,y) = (1,42).
So we get,
y = a(x-3)^2 + 6
42 = a(1-3)^2 + 6
At this point, we have one variable and we can isolate it like so:
42 = a(1-3)^2 + 6
42 = a(-2)^2 + 6
42 = a(4)
42 = 4a+6
4a+6 = 42
4a = 42-6
4a = 36
a = 36/4
a = 9 is the final answer
---------------------
Extra info (optional section):
This means the y = a(x-h)^2 + k becomes y = 9(x-3)^2 + 6
Let's expand that out and get it into standard form
y = 9(x-3)^2 + 6
y = 9(x^2-6x+9) + 6
y = 9x^2-54x+81+6
y = 9x^2 - 54x + 87
The last equation is in the form y = ax^2+bx+c where,
a = 9
b = -54
c = 87
Answer:

Step-by-step explanation:
We have been given that a rectangular prism has a top face with an area of 20 ft² and a height of 5 ft.
We know that volume of rectangular prism will be area of base or top face times height of the prism.


Therefore, the volume of the rectangular prism would be 100 cubic feet.