First turn 1/2 to 2/4 so you have a common denominator.
Next turn the mixed numbers into improper fractions:
11 3/4 --> 47/4 and 8 2/4 --> 34/4
Subtract:
47/4 - 34/4 = 13/4
Divide:
13/4 = 3.25
3.25/2 --> 1.625 or 1 5/8
Therefore, he will have to place it 1 5/8 feet from each side
Hope this helps!
The illegal values of b are when the denominator equals 0.
So,
gives you (b-4)(b+2)=0
Therefore, b=4 and b=-2, which is answer A.
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75

(a) For dx/dt=6, dy/dt = 2·6 = 12
(b) For dy/dt=2, 2 = 2·dx/dt ⇒ dx/dt = 1
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The value of x is irrelevant for this question.
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If your function is 2^x +1 or 2^(x +1), it needs to be written as such. The answer above applies to the function given.
Let x be that number:
x +10 -2 +4 + 3 - 1 - 7 +1 = 0
x +8 = 0
and x = - 8