Answer:
C
Step-by-step explanation:
We know that function <em>h</em> represents an object's height in feet after <em>x</em> seconds.
In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.
Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.
Therefore, neither A nor B are correct.
Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.
In other words, the object's height increased by 100 feet over the first 15-second period.
Option C is correct.
For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.
Answer:
D) 3x^2 - 12
Step-by-step explanation:
Using PEMDAS;
There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.
We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.
Evaluating "- (-2x^2+4)":
Step 1: Distributing the negative
Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.
Step 2: Consider the rest of the equation to evaluate
Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.
Thus,
x^2 -8 + 2x^2 - 4 = ___
*we can remove the parenthesis as it has no purpose, since it makes no difference.
Evaluating for the answer, we get,
x^2+2x^2 + (-8 - 4) = 3x^2 - 12
Hence, the answer is D) 3x^2 - 12.
Answer:
Question 7. -2 8. 3/2
Step-by-step explanation:
Answer:
Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.
Step-by-step explanation:
The graph that represents the equation 
is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base (
) and the height of the archway at its highest point (
) are, respectively:
Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.
