The factorization that could represent the number of water bottles and weight of each water bottle is 12(5x^2 + 4x + 2). Option B
<h3>What is factorization?</h3>
The term factorization has to do with the process of obtaining common factors in an expression. It involves dividing each term in the expression with a factor that is common to all the terms in the expression.
The factorization that could represent the number of water bottles and weight of each water bottle is 12(5x^2 + 4x + 2).
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Missing parts;
Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle? 6(10x2 + 8x + 2) 12(5x2 + 4x + 2) 6x(10x2 + 8x + 2) 12x(5x2 + 4x + 2)
Answer:
4c - 2
Step-by-step explanation:
Add up all the terms to find the perimeter.
2c + 2(c - 1)
2c + 2c - 2
4c - 2
Therefore, the perimeter is 4c - 2.
Answer:
c 2:1
Step-by-step explanation:
8/4=2
4/4=1
8:4 simplified is 2:1
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 4
Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:
![\displaystyle \int_{0} ^{1} 5x \sqrt{x} dx](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Cint_%7B0%7D%20%5E%7B1%7D%205x%20%5Csqrt%7Bx%7D%20dx)
use constant integration rule which yields:
![\displaystyle 5\int_{0} ^{1} x \sqrt{x} dx](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%205%5Cint_%7B0%7D%20%5E%7B1%7D%20x%20%5Csqrt%7Bx%7D%20dx)
notice that we can rewrite √x using Law of exponent therefore we obtain:
![\displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%205%5Cint_%7B0%7D%20%5E%7B1%7D%20x%20%5Ccdot%20%20%7Bx%7D%5E%7B1%2F2%7D%20dx)
once again use law of exponent which yields:
![\displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%205%5Cint_%7B0%7D%20%5E%7B1%7D%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B3%7D%7B2%7D%20%7D%20dx)
use exponent integration rule which yields;
![\displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%205%20%5Cleft%28%20%5Cfrac%7B%7Bx%7D%5E%7B%20%5Cfrac%7B3%7D%7B2%7D%20%20%2B%201%20%20%7D%20%7D%7B%20%5Cfrac%7B3%7D%7B2%7D%20%20%2B%201%7D%20%5Cright%29%20%20%5Cbigg%7C%20%20_%7B0%7D%20%5E%7B1%7D%20)
simplify which yields:
![\displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%202%20%7Bx%7D%5E%7B2%7D%20%20%5Csqrt%7Bx%7D%20%20%20%5Cbigg%7C%20%20_%7B0%7D%20%5E%7B1%7D%20)
recall fundamental theorem:
![\displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%202%20%28%20%20%7B1%7D%5E%7B2%7D%29%20%28%5Csqrt%7B1%7D%20%20%29%20-%202%28%20%7B0%7D%5E%7B2%7D%20%29%28%20%5Csqrt%7B0%29%7D%20)
simplify:
![\displaystyle 2](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%202%20)
hence
our answer is A