Answer:
d) 100 feet
Step-by-step explanation:
The x value of the vertex (highest point in this case) is found via -b/2a:
-80/-32 = 2.5
Plug 2.5 into the function:
h(2.5) = -16(2.5)² + 80(2.5)
= - 100 + 200 = 100
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:
1/6
Step-by-step explanation:
Answer:
0.98
Step-by-step explanation:
The investment starts at $10,000.
$10,000 is 100% of the investment.
In the first year, it loses 2% of its value. That means that after 1 year, the value of 100% of $10,000 is decreased by 2% of $10,000.
100% - 2% = 98%
After the first year, the investment is worth 98% of the original value.
98% as a decimal is 0.98
Answer: 0.98