Answer: B
Step-by-step explanation:
Took the test
In order to find any of the info we need we have to find the first derivative of the equation. If

, then

. We are told to find the slope at point (1, 7). Using that x value in our derivative will give us the slope of the line at that point. y' = -(1)^2+8. So y' = 7. That's the slope of the line. Now we will use that slope along with the x and y coordinate in the slope-intercept form of a line to solve for b. 7 = 7(1) + b so b = 0. Our equation then is y = 7x. If you graph these in the same window on your calculator, you can see how perfectly that align at the given point. It's really quite perfect.
Answer:
The 30-minute meeting of eight mechanics being paid $16 an hour, costed the garage $64!
Step-by-step explanation:
First, identify what you know:
1) A single mechanic is paid $16 an hour.
2) Eight mechanics, being paid $16 an hour, met.
3) The meeting lasted 30 minutes, or half an hour.
If a mechanic makes $16 dollars in one hour (60 min), how much would they make in half an hour? Since they worked for half an hour, they'd make half an hour wage!
$16/2 = $8
So, now if each of the eight mechanics were paid $8 for the half hour meeting, how much would it cost the garage?
$8 x 8 = $64
The garage would have had to pay $64 in total to the mechanics for their 30 minute meeting.
Step-by-step explanation:
4 miles / 27.8 min = 0.14388 miles per minute
26.2 / 0.143888 = 182.1 min
Answer:
Probability of selling no more than 3 properties in one week is 42%
Step-by-step explanation:
With 18 properties to sell and 40% chance of selling any one, it means that she can sell 7.2 properties (18 x 40%) in a week.
To sell no more than 3 properties in one week, the probability will be 3/7.2 x 100 = 0.4167
Probability is the chance of one event taking place out of many events. It is calculated as the number of the one event taking place divided by the total number of events. It is expressed in decimal or percentage form.