Answer:
A
Step-by-step explanation:
y=2(x-3)^2-3
replace x for x in the table
so y=2(1-3)^2-3
-2*-2
4*2
8-3
y=5
just like in the table
Answer:
140 inches cubed
Step-by-step explanation:
Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.
Hopefully this helps- let me know if you have any questions!
Answer: The answer is (b) ![x^3-x^2-26x-24.](https://tex.z-dn.net/?f=x%5E3-x%5E2-26x-24.)
Step-by-step explanation: We are given four polynomials and we are to check which one of them has roots -4, -1 and 6. Obviously, if putting these three values of 'x' in a polynomials yields 0, then that particular value will be a root of that polynomial.
Let us denote the polynomials as follows -
![P(x)=x^3-9x^2-22x+24,\\\\Q(x)=x^3-x^2-26x-24,\\\\R(x)=x^3+x^2-26x+24\\\\\textup{and}\\\\S(x)=x^3+9x^2+14x-24.](https://tex.z-dn.net/?f=P%28x%29%3Dx%5E3-9x%5E2-22x%2B24%2C%5C%5C%5C%5CQ%28x%29%3Dx%5E3-x%5E2-26x-24%2C%5C%5C%5C%5CR%28x%29%3Dx%5E3%2Bx%5E2-26x%2B24%5C%5C%5C%5C%5Ctextup%7Band%7D%5C%5C%5C%5CS%28x%29%3Dx%5E3%2B9x%5E2%2B14x-24.)
Let us check for x = -1 first. So, substituting x = -1 in all the four polynomils, we get
![P(-1)=36\neq 0,~~Q(-1)=0,~~R(x)=50\neq 0~~\textup{and}~~S(x)=-30\neq 0.](https://tex.z-dn.net/?f=P%28-1%29%3D36%5Cneq%200%2C~~Q%28-1%29%3D0%2C~~R%28x%29%3D50%5Cneq%200~~%5Ctextup%7Band%7D~~S%28x%29%3D-30%5Cneq%200.)
Therefore, only possibility is Q(x).
If we put x = -4 and x = 6 in Q(x), we find that
![Q(-4)=0~~\textup{and}~~Q(6)=0.](https://tex.z-dn.net/?f=Q%28-4%29%3D0~~%5Ctextup%7Band%7D~~Q%286%29%3D0.)
Thus, the correct option is (b) ![x^3-x^2-26x-24.](https://tex.z-dn.net/?f=x%5E3-x%5E2-26x-24.)
Answer:
the answer is b that the answer
Step-by-step explanation: