Step-by-step explanation:
The general equation of the line:
y = mx + c
where m is the slope of the line , and c is constant
m will be calculated using the points (2,1162) , (11,1900) as follow
m = (1900-1162)/(11-2) = 82
∴ y = 82 x + c
By substituting with the point (2,1162) to find c
∴ c = y - 82x = 1162 - 82 * 2 = 998
∴ y = 82x + 998
The first choice is the correct answer
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
We know that
if the volume of a prism <span>it was increased by a scale factor of 5
then
</span>the original volume is
multiplied by 5*5*5-------> 5³=125
therefore
the new volume compared with the original is 125 times larger
9514 1404 393
Answer:
4
Step-by-step explanation:
The distributive property does not appear to be involved in this question.
Let n represent the number of Noah's pencils. Then Andrew's total is ...
3n +5 = 17
3n = 12 . . . . . subtract 5 from both sides
n = 4 . . . . . . divide both sides by 3
Noah has 4 pencils.
