Answer:
y=1/2x
Step-by-step explanation:
Look at the graph, all you need is the first point.
Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x
<h3>
Answer: Choice D</h3>
Explanation:
Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.
If she slows down, then the graph will move downhill when going left to right.
Always move from left to right when reading a graph because this is how the time axis is set up.
Any flat part represents portions where her speed is constant, i.e. doesn't change.
With all that in mind, the answer is choice D because
- The first portion is going uphill (she's increasing her speed). This portion spans horizontally from 0 seconds to 20 seconds.
- The next portion is her slowing down (the graph is going downhill). This portion spans horizontally from 20 seconds to 30 seconds (so we have a 10 second duration).
- The third portion is where Alyssa is driving at some fixed speed that doesn't change. This portion is 20 seconds long.
- The last portion is Alyssa slowing down and coming to a complete stop. This portion is 5 seconds long.
Answer: 63%
Step-by-step explanation:
<u>First step</u>
Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.
Assume this rate is x;
![\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37](https://tex.z-dn.net/?f=%5Cfrac%7B%2836.2%20%2B%2029.0%20%2B%2046.2%20%2B%2037.5%20%2B%2040.9%20%2B%2040.0%20%2B%2032.6%20%2B%2040.5%20%2B%2040.1%20%2B%20x%29%7D%7B10%7D%20%3D%2038.0%5C%5C%5C%5C%5Cfrac%7B343%20%2B%20x%7D%7B10%7D%20%20%3D%2038%5C%5C%5C%5Cx%20%20%3D%20380%20-%20343%5C%5C%5C%5Cx%20%3D%2037)
x = 37%
<u>Second step - Survival rate</u>
The survival rate is calculated by;
= 1 - rate of loss
= 1 - 37%
= 63%
Answer:
Step-by-step explanation:
1)
First we add what we know for y into the second equation.
5x - 4(x +2)= -3
From there, we simplify it
5x-4x-8= -3
x-8=-3
Now we get the x on its own
x=5
and now we add x=5 into the first equation that we had and simplify to find y
y=5+2
y=7
So the answer is x=5, y=7 or (5,7)
2)
For this one we do the same thing as with 1.
Add what we know for y (bottom equation) to the top equation
3x-8(x-8)=24
Now we simplify
3x-8x+64=24
-5x+64=24
And now solve for X
-5x=-40
x=8
And then substitute x=8 to find y
y=8=8
y=0
So the answer is x=8, y=0 or (8,0)
Step-by-step explanation:
a.
![y = |x - 1| + 2](https://tex.z-dn.net/?f=y%20%3D%20%20%7Cx%20-%201%7C%20%20%2B%202)
b.
![- x + 3 \: \: \: \: \: \: \: \: \: \: \: \: x \leqslant 1 \\ \\ x + 1\: \: \: \: \: \: \: \: \: \: \: \:x > 1](https://tex.z-dn.net/?f=%20-%20x%20%2B%203%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%5Cleqslant%201%20%5C%5C%20%20%5C%5C%20x%20%2B%201%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3Ax%20%3E%201)