Answer:
<h2>k = - 58</h2>
Step-by-step explanation:
Since (x + 8) and (3x + 2) are factors of the polynomial it means that if either one of them is equated to zero and substituted into the polynomial will give us zero
Using x + 8
We have
x + 8 = 0
x = - 8
Substitute the value of x into the polynomial
- 6x³ - 55x² + kx - 16
That's
- 6(-8)³ - 55(-8)² + k(-8) - 16 = 0
-6(-512) - 55(64) - 8k - 16 = 0
Expand
3072 - 3520 - 8k - 16 = 0
Simplify
- 464 - 8k = 0
8k = -464
Divide both sides by 8
k = - 58
Hope this helps you
Answer:
0-2 x-intercepts and 0-1 y-intercepts
Step-by-step explanation:
A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.
A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.
Answer:
About 113,097.34 units
Step-by-step explanation:
The volume of a sphere can be found with the equation V = 
πr³ when r is the radius.
V = πr³
V = π(30)³
V ≈ 113,097.34 units
3/4 is the answer for your question
Answer- <em>X=12</em>
Step-by-step explanation:
X + 9/7 = 3 is our equation
Then we are going to do the opposite of dividing 7 from 9 which is multiplying 7 from 9. (on both sides)
It will leave us with - X + 9 = 21
Then we will do the opposite of adding 9 to X which is subtracting 9 from X. (also on both sides) ( whenever you do any adding or subtracting or multiplying or dividing on one side you have to do it on the other for the equation to be true)
Now it will leave us with X = 12
And that's our answer! :>
