Volume of the vox: V(x)=x^3-6x^2+8x
V(x)=W(x) H(x) L(x)
Width: W(x)=x-2
Height: H(x)=?
Length: L(x)=?
Factoring the equation of Volume:
V(x)=x^3-6x^2+8x
Common factor x:
V(x)=x(x^3/x-6x^2/x+8x/x)
V(x)=x[x^(3-1)-6x^(2-1)+8]
V(x)=x(x^2-6x+8)
V(x)=x(x-2)(x-4)
V(x)= W(x) H(x) L(x)
We know that W(x)=x-2
Then we have two options for H(x) and L(x):
1) First option: L(x)=x and H(x)=x-4
or
2) Second option: L(x)=x-4 and H(x)=x
Answer:
D.
Step-by-step explanation:
Answer:
2 x 10^6
Step-by-step explanation:
we can simplify the 8.8/4.4 part of the fraction to 2/1
10^8 / 10^2 = 10^6
It’s a ratio and for it to equal 2 x will equal 4
Answer:
C. Multiplication
Step-by-Step Explanation:
This problem is testing your knowledge of the Order of Operations. Here is the correct order:
Exponents (inside parenthesis)- There are no exponents for you to solve in this expression, so just ignore this step for now. (example: (4 + 2²) --> (4 + 4))
Parenthesis (from left to right)- In this case, you would solve the expressions inside the parenthesis <em>first</em> because there are no exponents.
Multiplication and Division (from left to right outside of parenthesis)- After solving the expressions inside the parenthesis, there will be one multiplication you need to solve next.
Addition and Subtraction (from left to right outside of parenthesis)- The only operation left for you to do now is addition. You can either do this in one whole step, or you can divide it into two steps. I've done it in two to keep it simple.
Here is the problem worked out in steps in case you are confused:
Step 1: Parenthesis
(-8 ÷ 4) + 5 + 4(3 - 6)
(-2) + 5 + 4(-3)
Step 2: Multiplication
-2 + 5 + 4(-3)
-2 + 5 + (-12)
Step 3: Addition
-2 + 5 + (-12)
3 + (-12)
-9
(Note: '3 + (-12)' could also be written as '3 - 12', making it a subtraction instead of an addition)
Hope this helps!
