1. The function

is a parabola of the form

. The the formula for the axis of symmetry of a parabola is

. We can infer from our function that

and

, so lets replace those values in our formula:





We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:



or


or

From our previous point we know that the ball reaches its maximum time at

, which means that <span>
it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>
9514 1404 393
Answer:
D. $101,000 – $120,000
Step-by-step explanation:
The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.
So, the shortest bar is the one with the lowest frequency. The horizontal scale identifies that as 101-120. If we assume that is salary in thousands of dollars, then Choice D is appropriate.
Answer:
9-3=6
Step-by-step explanation:
Line from left to right: number 9 (absolute value)
Line from right to left: number 3 (absolute value)
Overall: 9-3=6
We used the minus sign for 3 because the corresponding line is oriented in the opposite direction.
Answer:
Yes
Step-by-step explanation:
Tan = sin / cos
If sin is negative, ans cos is negative, then tangent is positive.
Tan= (-)/(-) = (+)
Answer:
33x-25
Step-by-step explanation:
2(3x-5)-3(6-4x)+(15x+3)
6x-10-18+12x+15x+3
21x+12x-10-18+3
=33x-25