Answer: The graph is attached.
Step-by-step explanation:
1. Solve for y, as following:

2. The equation of the line in slope intercept form is:

Where m is the slope and b is the y-intercept.
3. In this case the equation of the line is:

then:

4. Find the x-intercept. Make y=0. Then:

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).
6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.
Then you obtain the graph attached.
Answer:
, option B
Step-by-step explanation:
Complex numbers:
The most important relation that involves complex numbers is given by:

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:
The solutions are:

We have to find the polynomial. All option have
. So

The correct answer is given by option b.
Answer:
4.98
Step-by-step explanation:
Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

In this problem, the function is given by:
f(t) = -16t² + 100.
The outputs are given as follows:
- f(0) = -16(0)² + 100 = 100.
- f(0) = -16(2)² + 100 = 36.
Hence the average rate of change is given by:
r = (36 - 100)/(2 - 0) = -32 ft/s.
And the correct option is:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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Answer:
How much will you save if you take the better deal?
Antole Store discount: $ 45.96 x 20% = $ 9.99
Sergei Store Discount: $ 46.75 x 25% = $ 11.69
If you buy at a Sergei store, you get a discount on your payout compared to an Antole store of $ 1.7
Step-by-step explanation: