X^3 +x^2 +x +1 = x^2(x +1) + x +1 = (x^2 +1)(x +1)
hope helped
Answer:
40
Step-by-step explanation:
52= 1/2(64 + x)
52 = 32 + 0.5x
52-32= 32-32 + .5x
20=.5x
Divide both sides by .5x
X = 40.
Answer:
(-3,-1)
Step-by-step explanation:
For the answer (-2,2) you are moving 7 units. (5,3) you are moving 7 units as well. For (3,4) you are moving 6 units. By process of elimintaion, we know the answer is (-3,-1).
Answer:
<em>8 more men are needed to complete the job</em>
Step-by-step explanation:
<u>Proportions</u>
This problem can be solved by step-by-step reasoning applying proportions:
- 16 men working 9 hrs a day complete the job in 14 days
- 16 men working 1 hr a day complete the job in 14*9 days
The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.
- 1 man working 1 hr a day complete the job in 14*9*16 days
The same reasoning applies here, fewer men=more days.
Now for the second condition. Increase the hours/day:
- 1 man working 7 hrs a day complete the job in 14*9*16/7 days
More hours/day=less days to complete the job
- x men working 7 hrs a day complete the job in 14*9*16/(7*x) days
We know this last time is 12 days, thus:

Solving for x:

24 men are needed now, this is an increase of 24-16=8 more men
8 more men are needed to complete the job