<h3>Answers:</h3>
- first box = 0
- second box = 0
- third box = 4
- fourth box = -3
It's not a typo that 0 is written twice.
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Explanation:
This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.
Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0
slope = rise/run
The rise takes care of the vertical change in position. But if the line doesn't go up or down, then rise = 0 leads to slope = 0.
In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.
This is why you'll type 0 into the first two boxes.
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As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.
We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.
Furthermore, we see that the lowest part of the graph is when y = -3. Therefore, this is the minimum aka smallest y value and you'll type -3 into the fourth box.
Answer/Step-by-step explanation:
The corresponding side lengths of two triangles are always equal. Apply this in solving for x
4. ![\frac{9}{6} = \frac{x}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B6%7D%20%3D%20%5Cfrac%7Bx%7D%7B5%7D%20)
Cross multiply
![6*x = 5*9](https://tex.z-dn.net/?f=%206%2Ax%20%3D%205%2A9%20)
6x = 45
divide both sides by 6
y = 7.5
5. ![\frac{10}{8} = \frac{x}{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B8%7D%20%3D%20%5Cfrac%7Bx%7D%7B11%7D%20)
Cross multiply
![8*x = 10*11](https://tex.z-dn.net/?f=%208%2Ax%20%3D%2010%2A11%20)
8x = 110
divide both sides by 8
x = 13.75
6. ![\frac{12}{x} = \frac{7}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7Bx%7D%20%3D%20%5Cfrac%7B7%7D%7B4%7D%20)
Cross multiply
![x*7 = 12*4](https://tex.z-dn.net/?f=%20x%2A7%20%3D%2012%2A4%20)
7x = 48
divide both sides by 7
x = 6.86 (nearest hundredth)
Answer:
2![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
Using the rule of radicals
×
⇔
, then
![\sqrt{12}](https://tex.z-dn.net/?f=%5Csqrt%7B12%7D)
= ![\sqrt{4(3)}](https://tex.z-dn.net/?f=%5Csqrt%7B4%283%29%7D)
=
× ![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
= 2![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Answer:
The new coordinate of B' will be ( -1, 6)
Answer:
264 ounces
Step-by-step explanation:
#Convert Xan weight into ounces:
![1lb= 16 \ oz\\\\66\ lb=66\times 16=1056 \ oz\\\\\therefore Xan's=1056 \ oz+ 99 \ oz=1155 \ oz](https://tex.z-dn.net/?f=1lb%3D%2016%20%5C%20oz%5C%5C%5C%5C66%5C%20lb%3D66%5Ctimes%2016%3D1056%20%5C%20oz%5C%5C%5C%5C%5Ctherefore%20Xan%27s%3D1056%20%5C%20oz%2B%2099%20%5C%20oz%3D1155%20%5C%20oz)
Convert Katie's 88 pounds 11 ounce to ounces:
![1lb= 16 \ oz\\\\88\ lb=88\times 16=1056 \ oz\\\\\therefore Katie's=1408 \ oz+ 11 \ oz=1419\ oz](https://tex.z-dn.net/?f=1lb%3D%2016%20%5C%20oz%5C%5C%5C%5C88%5C%20lb%3D88%5Ctimes%2016%3D1056%20%5C%20oz%5C%5C%5C%5C%5Ctherefore%20Katie%27s%3D1408%20%5C%20oz%2B%2011%20%5C%20oz%3D1419%5C%20oz)
The difference is calculated by subtracting Xan's from Katie's:
![=1419 \ oz-1155 \ oz\\\\=264\ oz](https://tex.z-dn.net/?f=%3D1419%20%5C%20oz-1155%20%5C%20oz%5C%5C%5C%5C%3D264%5C%20oz)
Hence, the difference between the weights is 264 ounces