Answer:
The correct options are A and C.
Step-by-step explanation:
The given functions are


We have to find to solution for the equation


The solution of the above equation is the intersection of F(x) and G(x).
From the graph it is noticed that both graph intersects each other at (0,1) and (2,4).
The x-coordinates of these points are the solutions of the given equation.
Therefore the solution of given equation are 0 and 2.
Therefore option A and C are correct.
Answer: 0.0108
Step-by-step explanation:
Given : 
Since the alternative hypotheses is right-tailed, so the test is a right-tailed test.
Sample size : n=30
The degree of freedom for t-distribution= 
The by using the normal t-distribution table , we have
The P-value corresponds to t-statistic vale 2.43 and degree of freedom 29 , is 0.01075997 i.e. approximately 0.0108
To find a function that represents these values, just substitute x-values in and look for a function that gives you the correct f(x).
A) This works for 0, but not 2
B) This works for 0, 2, and 4 making it the right answer.
Answer:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.