6x, 6y, 6z. Different variables means they aren’t like terms. Also love ur pfp hehe :)
Answer:
The equation for slope is m = (y2 - y1)/(x2 - x1)
Step-by-step explanation:
In the above equation, m is the slope. So in order to find it, you need two points on the line. Those points would be (x1, y1) and (x2, y2). You can then stick their values in for the variables and solve for m (which is your slope).
Answer:
D.
Step-by-step explanation:
We can see from our graph that triangle CED is similar to triangle CBA. Side length BA corresponds to ED and Side length AC corresponds to DC.
Since we know that corresponding sides of two similar triangle are in the same proportion. To find value of x we will set proportion of the corresponding sides of our given triangles equal.
Upon cross multiplying our given equation we will get,
![7(x+15)=11\times 15](https://tex.z-dn.net/?f=7%28x%2B15%29%3D11%5Ctimes%2015)
Upon distributing 7 we will get,
![7x+105=11\times 15](https://tex.z-dn.net/?f=7x%2B105%3D11%5Ctimes%2015)
![7x+105=165](https://tex.z-dn.net/?f=7x%2B105%3D165)
![7x=165-105](https://tex.z-dn.net/?f=7x%3D165-105)
![x=\frac{60}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B60%7D%7B7%7D)
Therefore, x equals 8.57 and option D is the correct choice.
So, since it is continuously, we need to think of PERT
![A=P\times e^{rt}](https://tex.z-dn.net/?f=A%3DP%5Ctimes%20e%5E%7Brt%7D)
So, we just plug our numbers in to solve for T
![8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t](https://tex.z-dn.net/?f=8000%3D4000e%5E%7B.07t%7D%5C%5C%5Cln%288000%29%3D%5Cln%284000e%5E%7B.07t%7D%29%5C%5C%5Cln%288000%29%20%3D%20%5Cln%284000%29%20%2B%20%5Cln%28e%5E%7B.07t%7D%29%5C%5C%5Cln%288000%29%3D%5Cln%284000%29%2B.07t%5Cln%28e%29%5C%5C%5Cln%288000%29%3D%5Cln%284000%29%2B.07t%5C%5C%5Cfrac%7B%5Cln%288000%29%7D%7B%5Cln%284000%29%7D%3D.07t%5C%5C%5Cfrac%7B%5Cln%288000%29%7D%7B.07%5Cln%284000%29%7D%3Dt%5C%5C%2015.479%3Dt)
It will take 15.479 years
Answer: A; 6.3%
Step-by-step explanation:
Problem 1
For the first problem, we first want to find y so that we can plug it into the expression.
We can use elimination method for the system of equations to solve.
3x+3y=21
3x-y=5
We subtract both equations to eliminate x.
4y=16 [divide both sides by 4]
y=4
Now that we know y, we can plug it into the expression.
[divide]
[subtract]
![-1](https://tex.z-dn.net/?f=-1)
We know that the answer is A.
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Problem 2
For the second problem, we need to know how to calculate percent error. The formula for precent error is
. We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.
[subtract]
[solve absolue value]
[divide]
[multiply]
![6.25](https://tex.z-dn.net/?f=6.25)
Since the problem said to round to one decimal place, we know that the answer is 6.3%.