b=3
I found this out by subtracting and adding on both sides.
With two employee shifts, each will work 12 hours (2 x 12)
With three employee shifts, each will work 8 hours (3 x 8)
With four employee shifts, each will work 6 hours (4 x 6)
With six employee shifts, each will work 4 hours ( 6 x 4)
With twelve employees shifts, each will work 2 hours ( 12 x 2)
Answer:
25.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = x^2 + 4x + 4
f(x + a) = (x + a)^2 + 4(x + a) + 4
f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4 Now combine like terms and use the distributive property.
f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4
We are told that f(x + a) = x^2 - 6x + 9
So that means that
2a + 4 = - 6 Subtract 4 from both sides.
2a = - 6 - 4
2a = - 10 Divide by 2
a = - 10/2
a = - 5.
But you are not finished. You have to check the last part.
a^2 + 4x + 4 = 9
(a + 2)^2 = 9
Take the square root of both sides
sqrt(a+ 2)^2 = +/- 3
a+2 = 3
a = 1.
Does this work or is it extraneous? It is extraneous because it will not work for 2(a) + 4 = - 6
You get 6 = - 6 which is not correct. But you did give the second best answer.
a + 2 = - 3
a = - 3 - 2
a = - 5 which agrees with your previous answer.
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This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.
The price of gasoline in this week is 1.05g. Option C
Step-by-step explanation:
Given,
The price of a gallon of gasoline = g in last week.
The price of gasoline increased by 5% this week.
To find the price of gasoline this week.
Formula
If an original price of an object a increased by b% the final price will be = a×
So,
The price of gasoline in this week = g×1.05 = 1.05g
[ Please note: Here option C and E have same value. So, both are correct].
