Answer:
z=(At-67)/(45-A)
Step-by-step explanation:
A(t+z)=45z+67
At+Az=45z+67
At=45z-Az+67
At=z(45-A)+67
z(45-A)=At-67
z=(At-67)/(45-A)
<h3>
Answer: You have the correct answer. It's choice A. </h3>
Explanation:
You can verify this by plugging each root into the equation.
So for instance, plug in x = -2 and we get
f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)
f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)
f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)
f(-2) = 0
This verifies x = -2 is a root.
All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.
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Extra info:
- Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.
- Choice C is a similar story to choice B
- Choice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.
What do you mean by ”What is the longest possible length of one strip?”
Answer:
the answer should be B -3
Step-by-step explanation:
1+3-5-2= -3
Answer:
The solution of the given system of equations is (-6.667,7.667).
Step-by-step explanation:
The given equations are
...(1)
....(2)
put x=0 to find the y-intercept.
![0+y=1](https://tex.z-dn.net/?f=0%2By%3D1)
![y=1](https://tex.z-dn.net/?f=y%3D1)
Therefore y-intercept of equation (1) is (0,1).
![4(0)+y=-19](https://tex.z-dn.net/?f=4%280%29%2By%3D-19)
![y=-19](https://tex.z-dn.net/?f=y%3D-19)
Therefore y-intercept of equation (2) is (0,-19).
put y=0 to find the y-intercept.
![x+0=1](https://tex.z-dn.net/?f=x%2B0%3D1)
![x=1](https://tex.z-dn.net/?f=x%3D1)
Therefore x-intercept of equation (1) is (1,0).
put y=0 to find the y-intercept.
![4x+(0)=-19](https://tex.z-dn.net/?f=4x%2B%280%29%3D-19)
![x=-\frac{19}{4}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B19%7D%7B4%7D)
Therefore x-intercept of equation (1) is (-4.75,0).
Draw the graph of both lines by joining their x and y-intercept.
From the graph it is noticed that both the line intersect each other at (-6.667,7.667).
Therefore solution of the given system of equations is (-6.667,7.667).