Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
I believe the answer is 19.2 because you would have to do paythag. = a^2+b^2=c2 in this case it would be 7^2 + 10^2 = c
From there you would get the answer of 149, and you would have to square root it. When you square root 149 you get 12.2
12.2 + 7 = 19.2
You would add them together because you want to know the height before it broke.
Answer: 
Step-by-step explanation:
So first, you have to remember the order of operations. That means that whatever is in the parentheses is what has to be done first
However, because one of the numbers in the parentheses is a variable and the other isn't, we can distribute instead
Therefore, 3(12+4x) distributes by multiplying the 3 into both numbers in the parentheses. So we get 36+12x
Now the equation is 20=8+36+12x
Now, bring all numbers without variables on the left side
20-8-36=8-8+36-36+12x
20-8-36=12x
Now simplify
20-8-36=12x
12-36=12x
-24=12x
Divide both sides by 12, and you get x=-2
Hope this helped!!! :D
Hi there!
3(x - 2) < 18
Begin by dividing both sides by 3:
3(x - 2)/3 < 18/3
x - 2 < 6
Add 2 to both sides:
x - 2 + 2 < 6 + 2
x < 8
