1)Answer:
C) 8x² - 2
2) in the image above
Step-by-step explanation:
1)What is the area of the rectangle with the width of 2x - 1 and with the length of
(4x + 2)?
a. 8x² + 2
b. 8x³ - 2
c. 8x² - 2
d. 8x³ + 2
2)What is the simplified for of 7(-5y⁵)² ?
a. 176y¹⁰
b. 175y¹⁰
c. 176y²⁵
d. 178y¹⁵
Answer:
The length of the box is (x + 1)
The height of the box is (x + 1)
Step-by-step explanation:
The given function representing the volume of the box is presented as follows;
V = x³ + 6·x² + 9·x + 4
The function representing the width of the box, W = x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1
x³ + 4·x²
2·x² + 9·x + 4
2·x² + 8·x
x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)
The width of the box = (x + 4)
The length of the box = (x + 1)
The height of the box = (x + 1).
