Expand
z^3 + 5z + 15 + 8 - 4z^2
Collect like terms
z^3 + 5z + (15 + 8) - 4z^2
<u>Simplify </u>
<u>z^3 + 5z + 23 - 4z^2</u>
Answer:
96
Step-by-step explanation:
Simply multiply all the numbers together.
4 * 3 = 12
12 * 8 = 96
There are 96 possible combinations.
If this helped, please mark brainliest :D
Answer:

Step-by-step explanation:
Lets think about multiplication. What times 5 equals 20? (5x = 20)
It would be 4! (5 x 4 = 20)
So take the 4 and multiply it by the fraction.

Theres your answer :)
Answer: 96°
Step-by-step explanation:
If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.
Set them equal each other and solve for x.
(3x-6) + (6x +12) = 12x - 24 Combine like terms
9x + 6 = 12x - 24 Subtract 6 from both sides
- 6 -6
9x = 12x - 30 Subtract 12x from both sides
-12x -12x
-3x = -30 Divide both sides by -3
x = 10
Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.
Exterior : 12(10) - 24
120 - 24 = 96
This means the measure of the exterior angle at vertex B is 96 degrees.
Answer: 3/8
Step-by-step explanation:
When three coins are flipped, we get 8 total outcomes: (HHH,HHT,HTH,HTT,THH,THT,TTH,TTT)
Two tails and one head is (HTT, TTH, THT)
Probability = number of favorable outcomes/ number of total outcomes
Number of Favorable outcomes = 3
Number of Total outcomes= 8
Therefore, probability of getting 2 tails and one head
= 3/8