Jeb’s club collected 182 toys last year and 412 toys this year.
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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
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:
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
Divide both sides by -2
Now, we can identify clearly that the slope of the given line is since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of
as well. Plug this into
:
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-8)
Add 3 to both sides to isolate b
Therefore, the y-intercept is -5. Plug this back into :
I hope this helps!