Answer:
Step-by-step explanation:
Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³
the width is x-1 and the height is x+8
Find an expression for the length
Vol = LWH solve L
Vol / (WH) = L so
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
so it would help to factor the numerator
(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors
but I will plot the equation to find the three roots
(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving
L = (x + 4)
Answer:
(x-2)/(2x+8)
Step-by-step explanation:
The first step to solve this expression is to use a² - 2a b + b² = (a - b)² to factor the expression
Factor out 2 from the expression
Write 2x as a difference
Factor out x from the expression
Factor out -2 from the expression
Factor out x + 4 from the expression
Reduce the fraction with x - 2
Finally,, distribute 2 through the parenthesis to find your answer
This means that the correct answer to your question is (x-2)/(2x+8)
Answer:
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
Step-by-step explanation:
Formulas are used to factorize the polynomials.
In the given question, we can see a difference of squares
the difference of squares can be factorized using the formula
Here a^2 and b^2 are squares and factorized as sum and difference of numbers.
So in the given options,
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
A because 40% of 3500 is 40%
Answer:
79 units²
Step-by-step explanation:
The area of a circle is found by using the formula A = π x r². Since we are not given the radius we can use the formula r = C / (2π). Substituting in the given values, we get r = 31.5/(2π). 2 times pi is 6.283185307. 31.5 divided by this will get you 5.013380707. Now, put that value in for r in the area equation. A = π x 5.013380707². Pi times 5.013380707² equals 78.96074613. This can be rounded to 79. (Or 80 if you need to the nearest whole number.)
