let's bear in mind that a year has 12 months, so 30 months is really 30/12 years.
I think 5.55 will travel in 3.7 seconds
Answer:
x y
0 -1
-1 0
-8 7
Step-by-step explanation:
y = -x - 1
when x = 0, y = -1
when y = 0
0 = -x - 1
x = -1
when x = -8,
y = -(-8) - 1
y = 7
Answer:
- 8) 4 + 2q²/p² - 4r/p + r²/p²
- 9) (3/4, -9/4)
- 10) (3/8, 41/16)
Step-by-step explanation:
8. ============
Given
- α and β are roots of px² + qx + r = 0
The sum of the roots is α + β = -q/p, the product of then roots αβ = r/p
- (2 + α²)(2 + β²) =
- 4 + 2(α² + β²) + (αβ)² =
- 4 + 2((α + β)² -2αβ) + (αβ)² =
- 4 + 2((-q/p)² - 2r/p) + (r/p)² =
- 4 + 2q²/p² - 4r/p + r²/p²
------------------------------
9. ============
<u>Given function</u>
The minimum point is reached at vertex
<u>The vertex is:</u>
- x = -b/2a
- x = -(-3)/2*2 = 3/4
<u>The corresponding y-coordinate is:</u>
- y = 2(3/4)² - 3(3/4) - 1 = 9/8 - 9/4 - 1 = 1/8(9 - 18 - 9) = - 18/8 = - 9/4
<u>So the point is: </u>
---------------
10. ============
<u>Given function</u>
The maximum is reached at vertex
<u>The vertex is:</u>
- x = -b/2a
- x = -(-3)/2(-4) = -3/8
<u>The corresponding y-coordinate is:</u>
- y = 2 - 3(-3/8) -4(-3/8)² = 2 + 9/8 - 9/16 = 1/16(32 + 18 - 9) = 41/16
<u>So the maximum point is:</u>
I feel like it would be mean or median, because there is no outlier, making it so that all of the numbers are closely put together.
Put the set into order.
25, 26, 27, 28, 29
So, we know that this is all in order, making it so that we know for sure that there is no outlier.
If you find the mean, it'll represent the data nicely.
We know that both the mean and median represent the data set nicely, because it just does. It's one of those things that are extremely painful and hard to fully explain and have someone understand, but don't worry, it makes sense.
So, it can't just be the mean only or the median only.
It also can't be the mode only, because THERE IS NO MODE!
So, our final answer is mean or median :)
~Hope I helped!~
