Answer: (a) (
) = (3,2)
(b) (
) = (19,-7)
Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:


Isolating
:


And
:


(a) Replacing values and calculating
:


Calculating
:
![y_{2}=[2*(-1)]-(-4)](https://tex.z-dn.net/?f=y_%7B2%7D%3D%5B2%2A%28-1%29%5D-%28-4%29)


(b) 


= -7

Hello,
P(x)=x^3-7x-6
P(4)=4^3-7*4-6=30
Remainder=30
If the slope is undefined, then your line is a vertical line since vertical lines can have no slope (they don't have any lateral movement). Because it must pass through (- 8, 0), x must = - 8.
Your equation is x = - 8
Answer: 
In this case, we're asked to pick one of 12 blue popsicles out of a bag of 50 – from this, we can just write that the probability of picking a blue popsicle is 12/50. Simplifying this, we can divide both the numerator and denominator by 2 to get our final answer of 
Hope this helped you!
Step-by-step explanation:
Answer:
When you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3.
Step-by-step explanation:
The given function is
.
So, for real zeros and x-intercept, the y-coordinate must be equal to zero.
Then it becomes
⇒ x - 2 = 1 {Since log 1 = 0}
⇒ x = 3
Therefore, when you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3. (Answer)