<span><span>The answer to the question is:</span></span>
<span><span /></span><span><span>−<span>12</span><span>(x−12)</span></span>
</span>
1. You want to find factors of 4×(-49) that add to 21. Those would be +28 and -7. Replacing the term 21g with the sum 28g -7g, we get an expression that can be factored by grouping.
... (4g² +28g) + (-7g -49)
... = 4g(g +7) -7(g +7) = (4g-7)(g+7)
2. After you factor out 5, you have 5(64y² -16y -15). As in the previous problem, you're looking for factors of 64×(-15) = -960 that sum to -16. There are 14 factor pairs of 960, so it can take a little bit of effort to find the right pair. That pair is -40 and 24. As in the previous problem you replace the term -16y with the sum -40y +24y and factor by grouping.
... = 5(64y² -40y +24y -15) = 5(8y(8y -5) +3(8y -5))
... = 5(8y +3)(8y -5)
3. False. It is perhaps easiest to check this by multiplying out the offered factors. Doing that gives you 36k² -36k +8k -8. The collected k terms add to -28k, not -44k.
Answer:
120π
Step-by-step explanation:
diameter = 120
radius = 60
Cirumference= 2πr
2 x π x 60 = 120π
Answer:
Which expression has a greatest common factor of 3h?
Step-by-step explanation:
Answer:
the profit will be $172
Step-by-step explanation:
The function given is:
p(x) = 2(x-9)^2 + 100
Where x is the price of the each shirt.
if each shirt is sold for $15, hen x = 15.
the profit will be:
p(15) = 2(15-9)^2 + 100
p(15) = 2(6)^2 + 100
p(15) = 2(36) + 100
p(15) = 72 + 100
p(15) = 172
So, the profit will be $172
