1. Use factoring to solve the following quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts.
4x2 = 7x
The solution set is 0
(Use a comma to separate answers as needed.)
2. A ball is thrown straight up from a rooftop 240 feet high. The formula below describes the balk height above the ground, h, in feet. t seconds after it was thrown. The ball misses the rooftop on its way down. The graph of the formula is shown. Determine when the balk height will be 210 feet and identify the solution as a point on the graph.
h = -16t2 + 38t + 240
The ball's height will be 210 feet at___second(s).
Plot the point that represents the solution on the graph on the right.
3. A student must leave for campus in 10 minutes or he will be late for class. Unfortunately. he is snowed in. He can shovel the driveway in 20 minutes. and his brother claims to be able to do it in 14 minutes. If they shovel together. how long will it take to clear the driveway? Will this give enough time for the student to get to the campus?
It will take about minutes to clear the driveway together.
(Type an integer or decimal rounded to one decimal place as needed.)
Does this give enough time for the student to get to the campus?
A. This does not give enough time for the student to get to the campus.
B. This gives enough time for the student to get to the campus.
4. An alligator's tail length. T. varies directly as its body length. B. An alligator with a body length of 4.2 feet has a tail length of 3 feet. What is the tail length of an alligator whose body length is 4.9 feet?
The tail length is ID feet.
(Type an integer or decimal rounded to the nearest tenth as needed.)
5. Use the table below to find the indicated function values.
| x |
f(x) |
| -4 |
10 |
| -2 |
11 |
| 0 |
12 |
| 2 |
13 |
| 4 |
14 |
a. f(-2)
b. f(4)
c. For what value of x is f(x) = 12?
x = ___.