9514 1404 393
Answer:
A. 7 seconds
Step-by-step explanation:
We assume your factored equation is something like ...
h(t) = -16t(t -7)(t +2)
The time it takes the ball to reach the ground is the positive value of t that makes a factor zero:
t -7 = 0 ⇒ t = 7
The ball will land on the ground in 7 seconds.
The graph does not represent a function
Answer: ![\frac{n-m}{n}](https://tex.z-dn.net/?f=%5Cfrac%7Bn-m%7D%7Bn%7D)
This is the same as writing (n-m)/n
Don't forget about the parenthesis if you go with the second option.
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Explanation:
The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.
For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.
The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.
We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".
Doing a bit of algebra would have these steps
![1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cfrac%7Bn%7D%7Bn%7D%20-%20%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cfrac%7Bn-m%7D%7Bn%7D%5C%5C%5C%5C)
and now the expression is one single fraction.
Answer:
It is four/4 I believe D.4
Step-by-step explanation:
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band
![=(x+10)^2-x^2](https://tex.z-dn.net/?f=%3D%28x%2B10%29%5E2-x%5E2)
[recall
![(a+b)^2=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2)
![=x^2+20x+100-x^2](https://tex.z-dn.net/?f=%3Dx%5E2%2B20x%2B100-x%5E2)
![=20x+100](https://tex.z-dn.net/?f=%3D20x%2B100)
or 20(x+5) if you wish.