You may perform the division using either long division or synthetic division. Any preference?
I used synthetic div. with -2 as the divisor:
________________
-2 / 3 4 -10 0 15
-6 4 12 -24
-------------------------
3 -2 -6 12 -9
In factored form, with remainder, we then have:
(x+2)(3x^3 - 2x^2 - 6x + 12) remainder -9
If you need clarification of any part of this solution, let me know.
Answer:
300
Step-by-step explanation:
3x = 150
6x = z
Z=6x*150/3=300
Answer:
Step-by-step explanation:
Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:
and
and rationalizing the denominator,
![x=\frac{18}{\sqrt{3} }*\frac{\sqrt{3} }{\sqrt{3} }=\frac{18\sqrt{3} }{3}=6\sqrt{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B18%7D%7B%5Csqrt%7B3%7D%20%7D%2A%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B3%7D%20%7D%3D%5Cfrac%7B18%5Csqrt%7B3%7D%20%7D%7B3%7D%3D6%5Csqrt%7B3%7D)
This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get
12√3, the third choice down.
Answer:
2x-7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let
be the cost of renting from Mozart's Music Store for
years, and
be the cost of renting from Bach's Music Store for
years.
From the problem statement, we can come up with the following equations:
![M(x) = 34(12x)](https://tex.z-dn.net/?f=M%28x%29%20%3D%2034%2812x%29)
![B(x) = 30(12x) + 48x](https://tex.z-dn.net/?f=B%28x%29%20%3D%2030%2812x%29%20%2B%2048x%20)
Plugging in
for each equation, we can get the answer:
![M(9) = 34(12 * 9)](https://tex.z-dn.net/?f=M%289%29%20%3D%2034%2812%20%2A%209%29)
![M(9) = 34(108)](https://tex.z-dn.net/?f=M%289%29%20%3D%2034%28108%29)
![M(9) = 3672](https://tex.z-dn.net/?f=M%289%29%20%3D%203672)
![B(9) = 30(12 * 9) + 48(9)](https://tex.z-dn.net/?f=B%289%29%20%3D%2030%2812%20%2A%209%29%20%2B%2048%289%29)
![B(9) = 30(108) + 432](https://tex.z-dn.net/?f=B%289%29%20%3D%2030%28108%29%20%2B%20432)
![B(9) = 3240 + 432](https://tex.z-dn.net/?f=B%289%29%20%3D%203240%20%2B%20432)
![B(9) = 3672](https://tex.z-dn.net/?f=B%289%29%20%3D%203672)
From this, we can see that the value is equal for both stores.