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➷ T
B
✽ Ok, so B is the number of boys and T is the number of teachers.
➷ 

✽ Then solve the second equation for B.
➷ 
✽ Plug into the first equation to find T.
➷ 

✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Answer:
and 
Step-by-step explanation:
Given

Required
Determine the values of x

Take square root of both sides


Expand 45 as 9 * 5

Split the square root



This can be further split to:
or 
Hence, the possible values of x are
and 
9514 1404 393
Answer:
- relative minimum -6√3 at x = -√3
- relative maximum 6√3 at x = √3
- decreasing on x < -√3 and x > √3
- increasing on -√3 < x < √3
- see below for a graph
Step-by-step explanation:
I find it convenient to draw the graph first when looking for relative extrema.
The function can be differentiated to get ...
f'(x) = -3x^2 +9
This is zero when ...
-3x^2 +9 = 0
x^2 = 3
x = ±√3 . . . . . x-values of relative extrema
Then the extreme values are ...
f(±√3) = x(9 -x^2) = (±√3)(9 -3) = ±6√3
The lower extreme (minimum) corresponds to the lower value of x (-√3), so the extrema are ...
(x, y) = (-√3, -6√3) and (√3, 6√3)
__
Since the leading coefficient is negative and the degree is odd, the function is decreasing for values of x below the minimum and above the maximum. It is increasing for values of x between the minimum and the maximum.
decreasing: x < -√3, and √3 < x
increasing: -√3 < x < √3
The final answer is x = -19/6. The first step is to reduce the expression to
2/3 * 3(5-3x)= 29. This will make the equation much easier. The next step is to simplify by cancelling out the 3 in 2/3 with the 3 multiplying 5-3x so it leaves you with 2(5-3x)=29. Then you would remove the parenthesis by using the distributive property and simplifying 2(5-3x) to 10-6x= 29. Then subtract 10 from both sides, which leaves you with -6x = 19. Divide by -6 on both sides and you get x= -19/6. Hope this helps