Answer:
The top graph
Solutions:
-2
0
Step-by-step explanation:
The given quadratic function in factored form is

This is a parabola that has x-intercepts at (-2,0) and (2,0)
This parabola opens downward because the leading coefficient is less than 1.
The second function is

This is an absolute value function with vertex at (-2,0).
Therefore the graph that shows the solution to f(x)=g(x) is the top graph.
Hence the solution is x=-2,x=0
Answer: katrina will pay less interest on the 8-year non subsidized student loan
The total interest paid on the non-subsidized loan is USD 8,959
The total interest paid on the subsidized loan is USD 11,520
Step-by-step explanation:
Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520
For non subsidized student loan at 3.5% will be 3.5/100 x 32000x 1/12= USD 93.33/month, USD 1,119per year and USD 8,959 for 8 years
Answer:
(Decimal: -2.375) = -19/8
The average rate of change of g over the interval [-2, 4] is 4
<h3>What is the
average rate of change of g over the interval [-2, 4]?</h3>
The equation of the function is given as:
g(x) = 4x + 7
Calculate the value of the functions
g(-2) and g(4)
So, we have:
g(-2) = 4 * -2 + 7 = -1
g(4) = 4 * 4 + 7 = 23
The average rate of change of g over the interval [-2, 4] is then calculated as:
Rate = g(4) - g(-2)/4 - 2
This gives
Rate = (23 + 1)/(4 + 2)
Evaluate
Rate = 4
Hence, the average rate of change of g over the interval [-2, 4] is 4
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Complete question
g(x) = 4x + 7
What is the average rate of change of g over the interval [-2, 4]?