The set of inequalities do not have a solution.
<h3>What is inequality?</h3>
The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal. But to compare the values, whether it is less than or greater than, different inequalities are used.
Given:
f(x)= x²-2
g(x) = -x²+5
To derive, y ≤ x² + 5 simply change the equality sign in the function g(x).
To derive y > x² - 2 , following transformation on the function f(x)
- Shift the function f(x) down by 2 units
- Reflect across the x-axis
- Shift the function g(x) up by 5 units
- Change the equality sign in the function g(x) to greater than.
The inequalities of the graphs become
y < x² - 2 and y ≤ x² - 5
From the graph of the above inequalities it can be seen that curves of the inequalities do not intersect.
Hence, the set of inequalities do not have a solution
Learn more about inequalities here:
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Answer:
"Which statements about the figure must be true?"
/ABC is bisected by CD.
AE = 1 / 2AB
CE + CF = FD
Answer:
15/2
Step-by-step explanation:
I did rise over run and then I simplified.
Answer:
a) 0.3413
b) 0.1587
c) 0.3341
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 20.50 dollars
Standard Deviation, σ = 3.50 dollars
We are given that the distribution of hourly wages is a bell shaped distribution that is a normal distribution.
Formula:
a) P(Between $20.50 and $24.00 per hour
b) P(More than $24.00 per hour)
P(x > 24)
Calculation the value from standard normal z table, we have,
c) P(Less than $19.00 per hour)
P(x < 19)
Calculation the value from standard normal z table, we have,