Answer:
k = 1
Step-by-step explanation:
<u>Discriminant</u>




As we need to determine the value of k that will give <u>one solution</u>, set the <u>discriminant to zero</u>.
<u>Given equation</u>:

Therefore:
Substitute these values into the discriminant and solve for k:

The idea is to use the zero product property in reverse to go from the roots to the factorization. Then you expand out the polynomial using the distributive property.
x = 5 or x = 7 or x = -8
x-5 = 0 or x-7 = 0 or x+8 = 0
(x-5)(x-7)(x+8) = 0
(x-5)(x^2+x-56) = 0
x(x^2+x-56) - 5(x^2+x-56) = 0
x^3+x^2-56x -5x^2-5x+280 = 0
x^3-4x^2-61x+280 = 0
f(x) = x^3 - 4x^2 - 61x + 280
<h3>Answer: Choice D</h3>
There are a lot of vertical angles in this figure, I will try my best to list most of them; ace,bcg bca, ecg gfd,afe gfe, dfa
Answer:
20
Step-by-step explanation:
You use the distributive property.
Distribute the 2 to whatever is inside the parentheses. (You will multiply)
4×2=8
2×6=12
Substitute the answers above into the parentheses.
(8+12)=20
Answer:
-7 < -3 because -7 is located to the left of -3 on a number line.
Step-by-step explanation:
This is because -7 is on the left of the -3. In negatives -3 is greater than -7. If it was positive then 7 would be greater than 3. So the answer is A. -7 < -3 because -7 is located to the left of -3 on a number line