Answer:
A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Step-by-step explanation:
Given:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Required:
Find an equivalent polynomial
Solution:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Using distributive property of multiplication
2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)
-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸
There are no like terms to add or combine, therefore:
(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Answer:
the width is 10 m
Step-by-step explanation:
if the relationship between area and width is
A = 80*w − w²
for an area A=700 m² , we have
700 m² = 80*w − w²
w² - 80*w + 700 m² = 0
aw² + b*w + c = 0
where a=1 , b=-80 and c=700
this quadratic equation has as solution the following formula
w = [-b ± √ ( b² - 4*a*c) ]/(2*a)
replacing values
w = [80 ± √ ( 80² - 4*1*700) ]/(2*1) = (80 ± 60)/2
then
w₁=(80 - 60)/2 = 10 m
w₂ =(80 + 60)/2 = 70 m
since the area has the form A= length * width = 80*w − w² = (80− w)*w
then the length of the rectangle is
length = 80− w
for w₁=10 m → length = 80− 10 = 70 m
for w₁=70 m → length = 80− 70 = 10 m
by definition the shorter side is the width ( and the longer one , the length) , therefore the only possible option is the first one .
Thus the width is 10 m
Answer:
B
Step-by-step explanation:
11q + 5 ≤ 49
Subtract 5 from each side
11q + 5-5 ≤ 49-5
11q ≤44
Divide each side by 11
q ≤44/11
q≤4
There is a close circle at 4 because of the equals sign and the lines goes to the left
Answer: 7.73
Step-by-step explanation:
1.36 + 3.75 + 2.62 = 7.73
I think the answer is 9 i might be wrong
