Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are

The volume of the box is equal to


so

simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A

solve for y

Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x

therefore
The original length was 41 inches and the original width was 16 inches
Answer:
f(5)= 78.5. I hope this helps!!
Answer:
D
Step-by-step explanation:
The first number in each co-ordinate is the same so -1 plus 4 is 5 units
Answer:
5.97
Step-by-step explanation:
<u>Answer:</u>
The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is 
<u>Solution:</u>
Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.
We have to find the equation of the above polynomial.
We know that, general equation of 3rd degree polynomial is

where a, b, c are roots of the polynomial.
Here in our problem, a = 1, b = 2, c = -1.
Substitute the above values in f(x)


So, the equation is 
Let us put x = 0 in f(x) to check whether our answer is correct or not.

Hence, the equation of the polynomial is 