Answer:
(x - 4)(x^2 + 7)
Step-by-step explanation:
x^2 is a factor of the first two terms: x^3 - 4x^2 = x^2(x - 4).
7 is a factor of the last two terms: 7(x - 4).
Note how (x - 4) is a factor of the entire four-term expression given above.
Then: x^3-4x^2+7x-28 = (x - 4)(x^2 + 7)
0.05x+0.02(2000-x)=77.5
0.05x+40-0.02x=77.5
(0.05-0.02)x=77.5-40
0.03x=37.5
X=37.5/0.03=1250 at 2%
2000-1250=750 at 5%
Answer: The teacher will receive 96 pencils
Step-by-step explanation:
1.) You take the amount of packs she ordered and multiply it with the amount pencils in each pack. (12x8)
Her first rate was faster. The 10 minutes with a change in elevation of -200ft.
In order to solve this you need to have the same minutes. In this problem, I just simply took the 10 minutes and the -200ft and doubled it. Now both rates have 20 minutes. The first rate would have gone -400ft in 20 minutes while the second rate was only -300ft in 20 minutes. I hope this wasn't confusing, and I'm willing to explain more.
