Answer:
{0, 10, 42}
Step-by-step explanation:
<em>Domain is set of input values and range is set output values.</em>
For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}
<u>Range is:</u>
- f(-2) = 2(-2)² - 8 = 0
- f(3) = 2*3² - 8 = 10
- f(5) = 2*5² - 8 = 42
<u>Range:</u> {0, 10, 42}
Answer would be D You can have a rational discriminant for an irrational root, but you can also have rational discriminant for a rational root. So C is partially correct.
<span>All prime discriminants will result in an irrational root, but not all irrational roots have prime discriminants </span>
Answer:
The answer is

Step-by-step explanation:
Plug in and solve the equation. We are trying to find the y-intercept:

We found the y-intercept, so now we plug it in it's right full spot in the formula.

Answer:
length = 6 yards
width = 3.5 yards
Step-by-step explanation:
the length of a rectangle is 1 yard less than twice the width
LEt 'w' be the width of the rectangle
and 'l' be the length of the rectangle
length l = 2 times the width -1
so l = 2w -1
Area of the rectangle = length * width
Area = l * w
we know length is 2w-1 and given area = 21
21 = (2w-1) * w

subtract 21 on both sides

now solve for 'w'

0 = 2w(w+3)-7(w+3)
0= (2w-7)(w+3)
2w-7 = 0 and w+3 =0
w = 7/2 w=-3
width cannot be negative so we ignore w=-3
width w= 3.5
length = 2w-1= 2(3.5) - 1= 7-1=6
length = 6 yards
The butterfly method
12x10=120
3c=3c
120/3 = 40