I've graphed it for you below.
Answer: 5 seconds
<u>Step-by-step explanation:</u>
Maximum height is the y-value of the vertex. The number of seconds at maximum height is the x-value (aka axis of symmetry).
h(x) = -2x² + 20x + 48
a=-2 b=20 c=48
Axis of symmetry: x = 
= 
= 
= 5
The graphs of f(x) and g(x) are transformed function from the function y = x^2
The set of inequalities do not have a solution
<h3>How to modify the graphs</h3>
From the graph, we have:
and 
To derive y < x^2 - 3, we simply change the equality sign in the function f(x) to less than.
To derive y > x^2 + 2, we perform the following transformation on the function g(x)
- Shift the function g(x) down by 2 units
- Reflect across the x-axis
- Shift the function g(x) down by 3 units
- Change the equality sign in the function g(x) to greater than
<h3>How to identify the solution set</h3>
The inequalities of the graphs become
y < x^2 - 3 and y > x^2 + 2
From the graph of the above inequalities (see attachment), we can see that the curves of the inequalities do not intersect.
Hence, the set of inequalities do not have a solution
Read more about inequalities at:
brainly.com/question/25275758
Answer:
A few examples:
0. 0
1. Undefined
2. -3/5
3. Undefined
...
7. 493
8. 5/2
....
Learn how to find the slope below for the other problems.
Step-by-step explanation:
Slope is the rate of change for a linear function. It is found by subtracting the y values of two point on the line and dividing that difference by the difference of the x values of the points.
It can also be found using the formula y=mx+b known as the slope intercept form.
Here are a few examples:
0. This is a horizontal line which always has slope 0.
1. This is a vertical line which always has slope undefined.
2. Find two points that cross through a grid line intersection The line appears to cross them at (5,3) and (0,6). Count the unit squares between the two by counting up 3 and over to the left 5. Because it is left it is negative. The slope is -3/5
3. To find the slope, use the slope formula:
Since we can't divide by 0, it is undefined.
7. y=493x-257 follows the formula y=mx+b where m is the slope. m=493. The slope is 493.
8. Covert the equation into y=mx+b by rearranging the terms using y=mx+b.
5x-2y=48
-2y=48-5x
y=5/2 x -24
So the slope is 5/2.
Simplifying the expression of 5(-7+q) is Q=7