Answer:
6-2x
Step-by-step explanation:
Answer: 1. The additive inverse of a number is what you can add to that number for the sum to be zero. For real numbers, such as rational numbers, that means the additive inverse can be found by just flipping the sign of the number. The additive inverse property says if you add a number and its additive inverse, then the sum is zero.
For example, let's use the number 3. The additive inverse of 3 is -3, since 3 + (-3) = 0. This is also true the other way around. The additive inverse of -3 is 3.
When subtracting rational numbers, remember that subtracting is the same as adding a negative! That means 3 - 3 is the same as 3 + (-3) or -3 - (-3) is the same as -3 + 3. Both of these sums involve a number and its additive inverse and they add up to zero.
Answer:
Step-by-step explanation:
We are dealing with the "american" measure of feet, so the pull of gravity that we need is -16t^2. The quadratic that models this, in standard form, is
where v0 is the initial vertical velocity (64) and h0 is the initial height (4). Filling that standard position function in with our stuff gives us:
We are asked how long it will take for the object to reach its max height, then of course we are asked what the max height is (of course!). I am going to use calculus here since it's the easiest way to go. The first derivative of the position function is the velocity function.
v(t) = -32t + 64
You should know at this point from either algebra 2 or physics or calculus that an object has no velocity at its max height because it has to stop in the air in order to turn around and head back down. So we will set the velocity function equal to 0 and solve for how long it takes to reach that max height.
0 = -32(t - 2) so
t = 2 seconds, which answers the first question. If it takes 2 seconds to reach its max height, we can sub in 2 for t in the position function to find the object's position at 2 seconds. This will be the max height.
so
s(2) = 68 feet. The max height is 68 feet, which answers the seconds question.
As far as the range goes, the position function is an upside down parabola with a max height of 68. So the range, if I'm understanding what is being asked, is y | y ≤ 68
Answer: 76%
Step-by-step explanation:
In the first square, all 25 parts are shaded.
In another sqaure, 13 out of 25 qual parts are shaded.
Now, in both the squares
Total parts = 25+25 =50
Total shaded parts = 25+13 = 38
The percent of shaded area =
Hence, 76% is represented by the shaded area.