Answer:
x = 1.
Step-by-step explanation:
![\frac{1}{3}(6x-3)-\frac{1}{4}(20x+8)=-6\\\\[Distribute the first fraction into the parenthesis.]\\((\frac{1}{3}*6x)-(\frac{1}{3}*3))-\frac{1}{4}(20x+8)=-6\\\\2x-1-\frac{1}{4}(20x+8)=-6\\\\[Distribute the second fraction into the parenthesis.]\\2x-1-((\frac{1}{4}*20x)+(\frac{1}{4}*8))=-6\\\\2x-1-5x-2=-6\\\\[Combine like terms.]\\-3x-3=-6\\\\[Add 3 to both sides.]\\-3x=-3\\\\[Divide both sides by -3.]\\x=1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%286x-3%29-%5Cfrac%7B1%7D%7B4%7D%2820x%2B8%29%3D-6%5C%5C%5C%5C%5BDistribute%20the%20first%20fraction%20into%20the%20parenthesis.%5D%5C%5C%28%28%5Cfrac%7B1%7D%7B3%7D%2A6x%29-%28%5Cfrac%7B1%7D%7B3%7D%2A3%29%29-%5Cfrac%7B1%7D%7B4%7D%2820x%2B8%29%3D-6%5C%5C%5C%5C2x-1-%5Cfrac%7B1%7D%7B4%7D%2820x%2B8%29%3D-6%5C%5C%5C%5C%5BDistribute%20the%20second%20fraction%20into%20the%20parenthesis.%5D%5C%5C2x-1-%28%28%5Cfrac%7B1%7D%7B4%7D%2A20x%29%2B%28%5Cfrac%7B1%7D%7B4%7D%2A8%29%29%3D-6%5C%5C%5C%5C2x-1-5x-2%3D-6%5C%5C%5C%5C%5BCombine%20like%20terms.%5D%5C%5C-3x-3%3D-6%5C%5C%5C%5C%5BAdd%203%20to%20both%20sides.%5D%5C%5C-3x%3D-3%5C%5C%5C%5C%5BDivide%20both%20sides%20by%20-3.%5D%5C%5Cx%3D1)
Answer:
there were 8 dog ears in all.
Step-by-step explanation:
Since the statement says that they saw two teachers each walking with two dogs, you have to multiply the number of teachers for the number of dogs each one had to find the total number of dogs they had:
2*2=4
Now, as the statement indicates that each dog had two ears you have to multiply the number of dogs for the number of ears each one has:
4*2=8
According to this, the answer is that there were 8 dog ears in all.
Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
Answer:
inteager
Step-by-step explanation:
temperature can express both positive and negative
Answer:
Explanation:
Given a sample with the following:
• Mean,M = 90
,
• Standard deviation, s = 20
To find the z-score for each of the given X values, we use the formula below:
The z-scores are calculated below:
