Consider the function {8x-x^2 for x is less than or equal to 8 x^2+3 for x> 8} what is f(8)?

F(x) = 8x-x^2 only if x is equal to 8 or less than 8
OR
f(x) = x^2+3 only if x > 8

We can only pick one of the two paths. The function f(x) can't be both at the same time. In the case of computing f(8) we have the input x = 8. It won't fit the bottom piece as x > 8 is false when x = 8. The inequality 8 > 8 is false

So instead we pick the top piece

x = 8 > so "x is less than or equal to 8" is true
f(x) = 8x - x^2
f(8) = 8*8 - 8^2
f(8) = 64 - 64
f(8) = 0

The final answer is 0

Question 2: The answer is A. 90, 45, 45 because one angle is a right angle which is always 90 degrees and the two remaining angles are the same. Also, all triangles have to have a total amount of 180 degrees when all angle-degree-measurements are combined, which leaves A as the only possible answer.

Question 3: The answer is D. To solve this question you simply multiply all the dimensions of the triangular prism together. That would be:                                 10 x 14 x 8 = 1,120 in squared

Question 4: Sorry, didn't get this one :(

Question 5: The answer is B. 4pi. Sorry, don't have a good explanation for this one, but I'm pretty sure it is correct.

Question 6: Can't see the question, so I can't help you :(

Question 7: The answer is A. 5 feet. Using the power of elimination you can conclude that the three other options to the answer are improbable.

Question 8: The answer is B. 180 - x. To get this you need to know that 180 degrees is a flat line angle. Since angle x and angle y stem from the same two flat lines intersecting diagonally, you can determine the 180 - angle x would equal angle y.