Answer:
Step-by-step explanation:
-2 multiplied by 3x = -6x
-2 multiplied by 7 = -14
so -6x-14=32-4x
move -6x to the other side
= -14= 32-4x+6x
simplify
=-14=32+2x
move 32 to the other side
= -14-32=2x
simplify
=-46=2x
divide
-46/2 = 2x/2
x = -23
(1/5) times (the relay) = 3/4 mile
Multiply each side by 5
The relay = (5) x (3/4) = 15/4 = <span>3.75 miles.</span>
It is 80 because if you do all the math it turns out to be 80
Answer:
- The smaller one is x = 3
- and the larger one is x = 6
Step-by-step explanation:
A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.
A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.
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Setting the derivative to zero is another way to find the points with zero slope:
f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)
The derivative will be zero where the factors are zero, at x=3 and x=6.
The critical numbers are x=3 and x=6.