Answer:
-1 or 4
Step-by-step explanation:
f(x) = g(x)
-x^2 + 4x + 12=x + 8
-x^2+3x+4=0
(x+1)(x-4)=0
x=-1,x=4
Answer:
B
Step-by-step explanation:
The function is

, and according to the description of the function in the problem statement, we have the following:
at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:

(ft), which is the initial height, as expected.
At t=1 (sec), the height would be

.
etc.
The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.
This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.
Answer: B) 7 sec
Answer:
This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.
Step-by-step explanation:
When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;
2,4,6, 10, 14, 18, 20, 22, 24
The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.
Length: 6 Width: 2 Area: 12