Answer:
(x + 9)(x4)
Step-by-step explanation:
![A = {x}^{2} + 13x + 36 \\ \\ = {x}^{2} + 9x + 4x + 36 \\ \\ = x(x + 9) + 4(x + 9) \\ \\ = (x + 9)(x+4)](https://tex.z-dn.net/?f=A%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2013x%20%2B%2036%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20%2B%204x%20%2B%2036%20%5C%5C%20%20%5C%5C%20%20%3D%20x%28x%20%2B%209%29%20%2B%204%28x%20%2B%209%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%28x%20%2B%209%29%28x%2B4%29)
So, the possible side
lengths of the quilt are (x + 9) and (x + 4) units.
To answer the question above, we will have to use some calculus approach to this problem.
<span>volume of sphere = (4/3)(pi)(radius^3) = (4/3)(pi)(9^3) = 972pi </span>
<span>mass = (density)(volume) = (972pi)(1,000) = 972,000pi </span>
<span>force = (mass)(acceleration or gravity here) = (972,000pi)(9.8) = 9,525,600pi </span>
<span>work = (force)(distance) = (9,525,600pi)(4.5) = 42,865,200pi J
</span>
I hope my answer helped you with your problem
Answer: 57%
Step-by-step explanation:
First, let's find g(4). After we find it, we can substitute the value into
.
To find g(4), we need to substitute x = 4 into the function
, as shown below:
![g(x) = x^2 - 7](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%5E2%20-%207)
![g(4) = 4^2 - 7](https://tex.z-dn.net/?f=g%284%29%20%3D%204%5E2%20-%207)
![g(4) = 9](https://tex.z-dn.net/?f=g%284%29%20%3D%209)
Now that we have found g(4) = 9, we can substitute this value in for
in
.
![f(x) = 3x + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x%20%2B%201)
![f(9) = 3(9) + 1](https://tex.z-dn.net/?f=f%289%29%20%3D%203%289%29%20%2B%201)
![f(9) = 28](https://tex.z-dn.net/?f=f%289%29%20%3D%2028)
f(g(4)) is equal to 28.