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
Answer:
D
Step-by-step explanation:
Using the rules of exponents
×
=
and
= 
Given
× 2² =
=
= c , hence
c =
=
=
→ D
Answer: The vertex form is h(x)=(x-3)^2-6
Step-by-step explanation:
Using the complete the square method, first complete any squares
X^2-6x+(-3)^2-(-3)^2+3
Use the binomial formula
(x-3)^2 - (-3)^2 +3
Simplify
(x-3)^2-6
Answer:
B) 1
Step-by-step explanation:
We can see that the equation has only one real solution since both sides only intersect at that one point (4,3).
Answer:
- A. X=-12
- B. X=102
- C. X=44
- D. X=15
Step-by-step explanation:
Isolate the term of x from one side of the equation.
<h3><u>Part A. x-9=-21</u></h3>
<u>First, add by 9 from both sides.</u>
x-9+9=-21+9
<u>Solve.</u>
-21+9=-12
<u>X=-12</u>
<h3><u>Part B. 10+x=112</u></h3>
<u>Switch sides.</u>
x+10=112
<u>Subtract by 10 from both sides.</u>
x+10-10=112-10
<u>Solve.</u>
112-10=102
<u>X=102</u>
<h3><u>Part C. 14=x-30</u></h3>
<u>Switch sides.</u>
x-30=14
<u>Add by 30 from both sides.</u>
x-30+30=14+30
<u>Solve.</u>
<u>x=44</u>
<h3><u>Part D. 12-x=3</u></h3>
<u>Switch sides.</u>
x-12=3
<u>Add by 12 from both sides.</u>
x-12+12=3+12
<u>Solve.</u>
<u />
<u>Add the numbers from left to right.</u>
3+12=15
<u>x=15</u>
- <u>Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.</u>
I hope this helps you! Let me know if my answer is wrong or not.