Answer:
answer is B
Step-by-step explanation:
Answer:
- f'(1) exists: f'(1) = -2
- f'(0) DNE
Step-by-step explanation:
<h3>a)</h3>
The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
__
<h3>b)</h3>
The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.
Answer:
15
Step-by-step explanation:
When you find the sum of 3 and 5 you get 8, which represents the total number of vehicles used in the trucks to cars ratio.
This means that the ratio of cars to total vehicles in this ratio is 5 to 8. Because there are 24 vehicles in the parking lot, and 8 × 3 = 24, you can multiply the entire ratio by three to get your answer:
5 to 8 ⇒ 15 to 24
Therefore, the number of cars in the parking lot is 15.
Answer:
A. The y intercept the y coordinate when the line passes through the point that is on the y coordinate and the x is 0. In this context, the y intercept is 10.
B. The slope is the number of units the line goes up every number of units it goes to the right. This line goes up 50 every 20 units to the right so the slope is 50/20 which simplifies to 5/2
C. The equation is y = 5/2x + 10
I set it up as a ratio with hours on the top and the fraction of the job on the bottom. It looks like this: 5/(2/3) / x/1, because 1 is the whole job if 2/3 is only a fraction of it. Cross multiplying gives you 2/3x = 5. Solving for x gives you that it will take 7.5 hours to complete a whole job if it takes 5 hours to complete 2/3 of it.
