Look carefully at the first pair: (−3, 9), (−3, −5) Note that x does not change, tho' y does. This is how we recognize a vertical line (whose slope is undefined). The equation of this vertical line is x = -3.
Looking at the second pair: from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.
Third pair: as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis). The slope is undefined.
M / k = x.....multiply both sides by k. eliminating the k on the left side
m = xk <==
Answer:
Step-by-step explanation:
Look at all the choices
we know that at t = 0, the height of the rock is 16
choices H and I do not have a value of 16 at t = 0.
H: h(0) = -5.2(0)² + 24(0) - 12 = -12
I: h(0) = -4.2(0)² + 26(0) - 20 = -20
so we are left with F and G
if we take choice F and plug in t = 1
h(1) = -4.7(1)² - 25(1) + 16 = -13.7
if we take choice G and plug in t = 1
h(1) = -4.7(1)² + 25(1) + 16 = 36.3
only choice G works for us since it has 36.3 at t = 1
you could have also put these points in a graphing calculator and then use the quadratic regression feature to get an equation that will model this data
a) 20.9
The mean is calculated by adding up the scores and dividing the total by the number of scores, it is also called the average.
First, we can count and see there are 11 players (makes sense for a football team). Adding up the ages gives us 19 + 19 + 20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 = 230. Divide by 11 and we get a mean of of about 20.9!
b) 30
To figure this out, we will set up an equation that looks like this:
And now we will solve:
[multiply both sides by 12] 230 + x = 264
[subtract 130 from both sides] x = 30
So the age of the new player should be 30!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
