Answer:
11/6
Step-by-step explanation:
6/3+(-1/6)
2+(-1/6)
2-1/6
12/6-1/6
11/6
Answer:
(x + 3)² + (y – 4)² = 1
Step-by-step explanation:
(x – h)² + (y – k)² = r².
Where (h, k) is the center of the circle, and r is the radius of the circle.
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)
Answer:
Aisha gross pay equals $472
Step-by-step explanation:
If Aishat is paid $8.00 per hour, then for 39 hours, she will get
39 × 8 = $312
She gets 4% commission on all sales. If her sale is $4000, the her commission will be
4000 × 4/100
= $160
Then her total gross income will be $312 + $160 = $472
Answer: The answer is 
Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. We are told to select one of the four options that which function can be graphed as the graph given in the question.
To check, we start plotting the functions one by one on a graph paper. We see that the graph of first three functions do not match with the given graph, but the graph of the fourth function given by
matches exactly with the graph given in the question. The attached figure will show the graph for this function, which is exactly same as given.
Thus, the correct option is
