Answer:
<h2>5(x + 7)²</h2>
Step-by-step explanation:
![5(x+7)^4=\boxed5\cdot\boxed{(x+7)}\cdot\boxed{(x+7)}\cdot(x+7)\cdot(x+7)\\\\35(x+7)^2=\boxed5\cdot7\cdot\boxed{(x+7)}\cdot\boxed{(x+7)}\\\\15(x+7)^3=\boxed5\cdot3\cdot\boxed{(x+7)}\cdot\boxed{(x+7)}\cdot(x+7)\\\\GCF\bigg(5(x+7)^4,\ 35(x+t)^2,\ 15(x+7)^3\bigg)=\boxed5\cdot\boxed{(x+7)}\cdot\boxed{(x+7)}\\\\=5(x+7)^2](https://tex.z-dn.net/?f=5%28x%2B7%29%5E4%3D%5Cboxed5%5Ccdot%5Cboxed%7B%28x%2B7%29%7D%5Ccdot%5Cboxed%7B%28x%2B7%29%7D%5Ccdot%28x%2B7%29%5Ccdot%28x%2B7%29%5C%5C%5C%5C35%28x%2B7%29%5E2%3D%5Cboxed5%5Ccdot7%5Ccdot%5Cboxed%7B%28x%2B7%29%7D%5Ccdot%5Cboxed%7B%28x%2B7%29%7D%5C%5C%5C%5C15%28x%2B7%29%5E3%3D%5Cboxed5%5Ccdot3%5Ccdot%5Cboxed%7B%28x%2B7%29%7D%5Ccdot%5Cboxed%7B%28x%2B7%29%7D%5Ccdot%28x%2B7%29%5C%5C%5C%5CGCF%5Cbigg%285%28x%2B7%29%5E4%2C%5C%2035%28x%2Bt%29%5E2%2C%5C%2015%28x%2B7%29%5E3%5Cbigg%29%3D%5Cboxed5%5Ccdot%5Cboxed%7B%28x%2B7%29%7D%5Ccdot%5Cboxed%7B%28x%2B7%29%7D%5C%5C%5C%5C%3D5%28x%2B7%29%5E2)
Answer:
Step-by-step explanation: dont work sorry
Answer:
The volume of a rectangular prism is ![28\frac{7}{8}\ cm^{3}](https://tex.z-dn.net/?f=28%5Cfrac%7B7%7D%7B8%7D%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to
![V=BHL](https://tex.z-dn.net/?f=V%3DBHL)
Convert the given dimensions to an improper fractions
![B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm](https://tex.z-dn.net/?f=B%3D3%5Cfrac%7B1%7D%7B2%7D%5C%20cm%3D%5Cfrac%7B3%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B7%7D%7B2%7D%5C%20cm)
![H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm](https://tex.z-dn.net/?f=H%3D1%5Cfrac%7B1%7D%7B2%7D%5C%20cm%3D%5Cfrac%7B1%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7D%5C%20cm)
![L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm](https://tex.z-dn.net/?f=L%3D5%5Cfrac%7B1%7D%7B2%7D%5C%20cm%3D%5Cfrac%7B5%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B11%7D%7B2%7D%5C%20cm)
substitute in the formula
![V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B7%7D%7B2%7D%29%28%5Cfrac%7B3%7D%7B2%7D%29%28%5Cfrac%7B11%7D%7B2%7D%29%3D%5Cfrac%7B231%7D%7B8%7D%5C%20cm%5E%7B3%7D)
Convert to mixed number
![\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B231%7D%7B8%7D%3D%5Cfrac%7B224%7D%7B8%7D%2B%5Cfrac%7B7%7D%7B8%7D%3D28%5Cfrac%7B7%7D%7B8%7D%5C%20cm%5E%7B3%7D)
Answer:
Kara incorrectly factored 2(16x^2 + 24x + 9) she did not find the correct factors when she factored out. The correct factored expression would be 2(4x+3)^2
Step-by-step explanation:
32x^2 + 48x + 18
2(16x^2 + 24x + 9)
2(16x^2 + 12x) (12x + 9)
2 4x(4x + 3) 3(4x + 3)
2(4x + 3)(4x + 3)
2(4x + 3)^2