Answer:
x=-8 x=2
Step-by-step explanation:
x^2 +6x-6 = 10
Subtract 10 from each side
x^2 +6x-6-10 = 10-10
x^2 +6x-16 = 0
Factor
What 2 numbers multiply to -16 and add to +6
8*-2 = 16
8-2 =6
(x+8) (x-2) =0
Using the zero product property
x+8 = 0 x-2 =0
x=-8 x=2
As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).
The correct answer is C: y > 2/3x + 3
(1,4) ⇒ within the shaded region
4 > 2/3(0) + 3
4 > 0 + 3
4 > 3
True
(0,0) ⇒ within the unshaded region
0 > 2/3(0) + 3
0 > 0 + 3
0 > 3
False
Answer:
Step-by-step explanation:
First we multiply the numbers, because you can't divide fractions. We switch the placement of 8 and 1 and then we multiply (The one multiplied by everything is just the same so we can ignore it)
× =
Then we convert it to a mixed number by using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Therefore, we can find out that is the answer.
Answer:
B, 36 cubic feet
Step-by-step explanation:
The volume of a rectangular prism can be found by multiplying together all of the side lengths. 6*2*3=36 cubic feet, or option B. Hope this helps!