The width (w) of a rectangular pool is x+4. The area (A) of the pool is 2x^3 - 29x + 12. What is an expression for the length of the pool?
A. 2x^2 + 8x + 3
B. 2x^2 - 8x - 3
C. 2x^2 - 8x + 3
D. 2x^2 + 8x - 3
I'm not sure please help me with this problem! Thanks.
A = L * W,
A = L*(x + 4) = 2x^3 - 29x + 12,
L = (2x^3 - 29x + 12)/(x+4),
Use long-hand division,
L = 2x^2 - 8x + 3.
does anyone have the answers to the whole test? i need them or i may fail D:
Rational Expressions and Functions Unit Test part 1 answer REEEE
I really need help with this if anybody has any idea I would really appreciate it!
Thank you so so much Henry!
To find the expression for the length of the rectangular pool, we can use the formula for the area of a rectangle: A = length × width.
Given that the width (w) of the pool is x+4 and the area (A) of the pool is 2x^3 - 29x + 12, we can equate these two expressions and solve for the length.
A = length × w
2x^3 - 29x + 12 = length × (x + 4)
Now, let's distribute the length to the width:
2x^3 - 29x + 12 = length × x + length × 4
Since we want to find an expression for the length, we can isolate it by moving the x term to the other side:
2x^3 - 29x + 12 - length × x = length × 4
Simplifying the equation further:
2x^3 - 29x + 12 - x × length = 4 × length
To compile like terms, let's move all the terms to one side of the equation:
2x^3 - (29 + x × length) + (12 - 4 × length) = 0
Now, we need to determine the expression for "length". Unfortunately, we don't have enough information about the value of "length" from the given options. Maybe some information is missing from the problem statement.