Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
The equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5
<h3>How to determine an equivalent algebraic monomial expression?</h3>
The expression is given as:
(-8a^5b)(3ab^4)
Multiply -8 and 3
So, we have:
(-8a^5b)(3ab^4) = (-24a^5b)(ab^4)
Multiply a^5 and a (a^5 * a = a^6)
So, we have:
(-8a^5b)(3ab^4) = (-24a^6b)(b^4)
Multiply b and b^4
So, we have:
(-8a^5b)(3ab^4) = -24a^6b^5
Hence, the equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5
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Answer:
Step-by-step explanation:
Let's subtract:
Answer:
-1, 1
13, 15
Step-by-step explanation:
x and x+2 are the integers
- x*(x+2)= 7(x+x+2) -1
- x²+2x= 14x+14-1
- x² - 12x -13= 0
Roots of the quadratic equation are: -1 and 13.
So the integers pairs are: -1, 1 and 13, 15
Answer:
3000,
Step-by-step explanation:
5 or above round up, 4 and below keep it the same
