I calculated with my teacher and somehow we could onu get 667.22
The equation that gives the height is h(t) = - 16t^2 + 18t + 5, which is a parabola.
You cand find the maximum height from the vertex of the parabola.
Let's find the vertex. I will complete squares:
Start by extractin common factor -16:
-16t^2 + 18t + 5 = -16 [t^2 - (18/16) t - 5/16]
I will work with the expression inside the square brackets.
t^2 - (18/16)t - 5/16 = t^2 - (9/8) t - 5/16 =
Completing squares: (t - 9/16)^2 - (9 / 16 )^2 - 5/16
(t - 9/16)^2 - 81/ 256 - 5/16 = (t -9/16)^2 - 161/256
Now, include add include the factor -16[ (t- 9/16)^2 + 161/256 ] =
= -16 (t - 9/16)^2 + 161/16
That means that the vertex is 9/16, 161/16
So, the maximum height is 161 / 16 = 10,06, which is lower than the fence.
Answer: She will not make it over the fence.
Answer:
Step-by-step explanation:
There might be a shorter way of doing this and a better one as well, but here is how I did it.
Let the three numbers be
Solution
Note that these three numbers are consecutive and even.
Twice the smallest number is 2 * (2n - 2)
20 more than the second number is 2n + 20
Now equate them.
2(2n - 2) = 2n + 20 Remove the brackets.
4n - 4 = 2n + 20 Add 4 to both sides
4n - 4 + 4 = 2n + 20 + 4
4n = 2n + 24 Subtract 2n from both sides.
4n - 2n = 2n - 2n + 24
2n = 24
Now stop
Answers
- The middle number is 24
- The smallest number is 24 - 2 = 22
- The largest number is 24 + 2 = 26
Check
22*2 = 44
The middle number = 24 + 20 = 44
Answer: "Six groups of negative five"
Step-by-step explanation:
We have the equation:
6*(-5)
First, here we explicitly defined that the negative sign is on the five.
So we will have "negative five" in some part of our text.
And we also should write it from left to right (six comes first, then the (-5))
So we will have:
Six groups of negative five
