Answer:
180 inches
Step-by-step explanation:
25 inches per minute
in 1 hour (60 minutes) :
25*60 = 1500
28 inches per minute
in 1 hour (60 minutes) :
28 * 60 = 1680
1680-1500 = 180
first off, let's notice the parabola is a vertical one, therefore the squared variable is the x, and the parabola is opening upwards, meaning the coefficient of x² is positive.
let's notice the vertex, or U-turn, is at (-2, 2)
![\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{-2}{ h},\stackrel{2}{ k}) \\\\\\ y=+1[x-(-2)]^2+2\implies y=(x+2)^2+2](https://tex.z-dn.net/?f=%20%5Cbf%20~~~~~~%5Ctextit%7Bparabola%20vertex%20form%7D%20%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%20%5Cboxed%7By%3Da%28x-%20h%29%5E2%2B%20k%7D%5C%5C%5C%5C%20x%3Da%28y-%20k%29%5E2%2B%20h%20%5Cend%7Barray%7D%20%5Cqquad%5Cqquad%20vertex~~%28%5Cstackrel%7B-2%7D%7B%20h%7D%2C%5Cstackrel%7B2%7D%7B%20k%7D%29%20%5C%5C%5C%5C%5C%5C%20y%3D%2B1%5Bx-%28-2%29%5D%5E2%2B2%5Cimplies%20y%3D%28x%2B2%29%5E2%2B2%20)
By looking at it, I can tell the second expression is greater due to a a large postive number that's being added to it. Let's solve.
-12+6=-6-4=-10
-34-3=-37+39=2
So, -34-3+39 is greater.
Answer:
The second one.
Step-by-step explanation:
Slope intercept is rise/run. The y-axis goes up by 4 (rises by 4), and the x-axis goes to the right by 5 (runs by 5).
You could make a tree diagram
H T ← 1st toss
H T H T ← 2nd toss
H T H T H T H T ← 3rd toss
etc ,,, then count the combination of favorable outcomes
Using a calculator:
Total number of outcomes is

= 128
Probability of getting exactly 3 heads is found using the follow calculator feature: binompdf(7, 0.5, 3)
ANSWER: Typed into the calculator as follows binompdf(7,0.5,3)×128 =
35