Answer:
When we divide by a negative value, the sign for the inequality changes.
Step-by-step explanation:
2x < -8, to solve we would divide by 2 and receive x < -4. However, in solving -2x < 8, we would divide by negative 2, which would result in x > -4. Clearly, these sequences provide opposite answers and that is a rule to inequalities, that when dividing by a negative number, we must flip the less than/greater than sign.
Answer:
its 70 and 58
Step-by-step explanation:
The pattern: -2, -4, -6, -8, -10, -12...
Answer:
![(x-43.45)(x+7.45)=0](https://tex.z-dn.net/?f=%28x-43.45%29%28x%2B7.45%29%3D0)
Step-by-step explanation:
We have the quadratic equation
i.e. ![d^{2}-36d-324=0](https://tex.z-dn.net/?f=d%5E%7B2%7D-36d-324%3D0)
As, the roots of the quadratic equation
are given by
.
So, from the given equation, we have,
a = 1, b = -36 , c = -324.
Substituting the values in
, we get,
![x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B36%5Cpm%20%5Csqrt%7B%28-36%29%5E%7B2%7D-4%5Ctimes%201%5Ctimes%20%28-324%29%7D%7D%7B2%5Ctimes%201%7D)
i.e. ![x=\frac{36\pm \sqrt{1296+1296}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B36%5Cpm%20%5Csqrt%7B1296%2B1296%7D%7D%7B2%7D)
i.e. ![x=\frac{36\pm \sqrt{2592}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B36%5Cpm%20%5Csqrt%7B2592%7D%7D%7B2%7D)
i.e. ![x=\frac{36\pm 50.9}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B36%5Cpm%2050.9%7D%7B2%7D)
i.e.
and ![x=\frac{36-50.9}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B36-50.9%7D%7B2%7D)
i.e.
and ![x=\frac{-14.9}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-14.9%7D%7B2%7D)
i.e. x = 43.45 and x = -7.45
Thus, the roots of the equation are 43.45 and -7.45.
Hence, the factored form of the given expression will be ![(x-43.45)(x+7.45)=0](https://tex.z-dn.net/?f=%28x-43.45%29%28x%2B7.45%29%3D0)
Answer:
The circle graph does not represent a function because it doesn't pass the vertical line test.
Step-by-step explanation:
What is the actual question? I know what you're trying to say, just it's not enough info...