Answer:
x=2
Step-by-step explanation:
2-2=0
square root of 0 is 0
0+2=2
and 2=2 so its 2
Answer:
y = -2(x -1)^2 -2
Step-by-step explanation:
My "work" consists of providing a table of values to a calculator and asking it for a quadratic model. The result is ...
y = -2(x -1)^2 -2
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If you like to do these "by hand", you can write the model, then solve for its parameters using the given points.
We observe that the first and third points have the same y-coordinate. Then the vertex of the quadratic will be halfway between the corresponding x-values, at ...
h = (-2 +4)/2 = 1
So, one of the parameters of the model is found already. Using the second point and one other, we can find the remaining parameters for our model:
y = a(x -1)^2 +k
for (4, -20) ...
-20 = a(4 -1)^2 +k = 9a +k
for (0, -4) ...
-4 = a(0 -1)^2 +k = a + k
Subtracting the second equation from the first, we get
-16 = 8a
-2 = a . . . . . divide by 8
Substituting this value of a into the second equation, we have ...
-4 = -2 +k
-2 = k . . . . . . add 2
So, our model is ...
y = -2(x -1)^2 -2
X=5 because you subtract 5 from both sides and then you get x=5 remainding
Answer:
5 × ![\frac{1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D)
Step-by-step explanation:
![4*100+2*10+3*1+6*\frac{1}{10}+x+9*\frac{1}{1000}=423.659\\4*100+2*10+3*1+6*0.1+x+9*0.001=423.659\\400+20+3+0.6+x+0.009=423.659\\423.609+x=423.659\\x=0.05\\\\50*\frac{1}{10}=5\\\\5*\frac{1}{100}=0.05\\\\50=50\\\\5*0.05=0.25](https://tex.z-dn.net/?f=4%2A100%2B2%2A10%2B3%2A1%2B6%2A%5Cfrac%7B1%7D%7B10%7D%2Bx%2B9%2A%5Cfrac%7B1%7D%7B1000%7D%3D423.659%5C%5C4%2A100%2B2%2A10%2B3%2A1%2B6%2A0.1%2Bx%2B9%2A0.001%3D423.659%5C%5C400%2B20%2B3%2B0.6%2Bx%2B0.009%3D423.659%5C%5C423.609%2Bx%3D423.659%5C%5Cx%3D0.05%5C%5C%5C%5C50%2A%5Cfrac%7B1%7D%7B10%7D%3D5%5C%5C%5C%5C5%2A%5Cfrac%7B1%7D%7B100%7D%3D0.05%5C%5C%5C%5C50%3D50%5C%5C%5C%5C5%2A0.05%3D0.25)
Answer:
2 ![\frac {{\textrm{feet}}}{{\textrm{minute}}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%7B%5Ctextrm%7Bfeet%7D%7D%7D%7B%7B%5Ctextrm%7Bminute%7D%7D%7D)
Step-by-step explanation:
Kim was walking down a rocky path. For 4 minutes, the elevation dropped steadily. All together it dropped 8 feet.
So, the change in elevation per minute for the 4 minutes is given by,
![\frac {8}{4} \frac {{\textrm{feet}}}{{\textrm{minute}}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B8%7D%7B4%7D%20%5Cfrac%20%7B%7B%5Ctextrm%7Bfeet%7D%7D%7D%7B%7B%5Ctextrm%7Bminute%7D%7D%7D)
= 2 ![\frac {{\textrm{feet}}}{{\textrm{minute}}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%7B%5Ctextrm%7Bfeet%7D%7D%7D%7B%7B%5Ctextrm%7Bminute%7D%7D%7D)
(Answer)