Jessica is making silk screen tee-shirts for her school. Her
1 answer:
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Answer:
There are 144 faculty at the college are certified
Step-by-step explanation:
- A local community college employs 240 full time faculty
∴ There are 240 full time employs
- Approximately 3/5 of the full time faculty are certified to teach online
∴ 3/5 of the total 240 are certified to teach on line
- We need to find how many faculty at the college are certified
<em>To find that multiply the fraction of the certified by the total number </em>
<em>of the full time faculty</em>
∵ The fraction of certified is 3/5
∵ The total of the full time faculty is 240
∴ The number of certified = × 240
∴ The number of certified = 144
<em>There are 144 faculty at the college are certified</em>
Answer:
1. shifts the graph right 2 units
2. y = -2(x -3)² +7
Step-by-step explanation:
1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.
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3) The vertex form of the equation of a parabola is ...
y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'
Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.
The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.
The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':
-14 < 7-9a < -7
-21/9 < -a < -14/9 ⇒ -2.33 < -a < -1.56
If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.
The equation of the graph may be ...
y = -2(x -3)² +7
Answer:
Step-by-step explanation:
Let d represent the number of pizza delivery days.
We have been given that a pizza delivery worker drives the motor scooter only on days he is working, during which he drives an average of 50 miles per day. So the number of miles driven in d days will be 50d.
As the delivery worker purchased a used motor scooter that had been driven 12,100 miles. This means that initial value or y-intercept will be 12,100.
Upon substituting our given values we will get,
Therefore, the equation models the total number of miles driven in d days of pizza delivery.