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)
8 glasses in order to make money because if you sell each glass for $2 times that by 8 it’s $16
Answer:
The correct answer is $2,50
Step-by-step explanation:
The unit rate is what we use to determine the price of a single unit, when something is sold in a group, as in this case 5 ounces.
Like fractions are fractions with the same denominator. You can add and subtract like fractions easily - simply add or subtract the numerators and write the sum over the common denominator.
Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this:
1.Find the smallest multiple (LCM) of both numbers.
2.Rewrite the fractions as equivalent fractions with the LCM as the denominator.
When working with fractions, the LCM is called the least common denominator (LCD)
Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
y= 3x+16
