Answer:
The second one (B)
Step-by-step explanation:
u don't multiply a number by the same number if u know what I mean
hope this helps <3
Answer:
3
Step-by-step explanation:
subtract 3y from both sides
add 9 to both sides
3y=12x+9
divide everything by 3
y=4x+3
y-intercept is 3
465•10-5
(That -5 is suppose to be an exponent
Answer:
The difference between their volumes is ![237.375ft^3](https://tex.z-dn.net/?f=237.375ft%5E3)
Step-by-step explanation:
The attachment completes the question.
For cube 1:
![s_1 = 8ft](https://tex.z-dn.net/?f=s_1%20%3D%208ft)
For cube 2:
![s_2 = 6.5ft](https://tex.z-dn.net/?f=s_2%20%3D%206.5ft)
Required
The difference in their volumes
First, we calculate the volume of box 1
![V_1 = s_1^3](https://tex.z-dn.net/?f=V_1%20%3D%20s_1%5E3)
Substitute 8 for s1
![V_1 = 8^3](https://tex.z-dn.net/?f=V_1%20%3D%208%5E3)
![V_1 = 512ft^3](https://tex.z-dn.net/?f=V_1%20%3D%20512ft%5E3)
Next, we calculate the volume of box 2
![V_2 = s_2^3](https://tex.z-dn.net/?f=V_2%20%3D%20s_2%5E3)
Substitute 6.5 for s2
![V_2 = 6.5^3](https://tex.z-dn.net/?f=V_2%20%3D%206.5%5E3)
![V_2 = 274.625ft^3](https://tex.z-dn.net/?f=V_2%20%3D%20274.625ft%5E3)
The difference is then calculated as:
![Difference = |V_1- V_2|](https://tex.z-dn.net/?f=Difference%20%3D%20%7CV_1-%20V_2%7C)
![Difference = |274.625- 512|](https://tex.z-dn.net/?f=Difference%20%3D%20%7C274.625-%20512%7C)
![Difference = |-237.375|](https://tex.z-dn.net/?f=Difference%20%3D%20%7C-237.375%7C)
![Difference = 237.375](https://tex.z-dn.net/?f=Difference%20%3D%20237.375)
Hence, the difference between their volumes is ![237.375ft^3](https://tex.z-dn.net/?f=237.375ft%5E3)
Given,
The expression is,
![P(x)=x^3-7x^2+15x-9](https://tex.z-dn.net/?f=P%28x%29%3Dx%5E3-7x%5E2%2B15x-9)
If x- 3 is the factor of the given polynomial function, then on substituting the value of x = 3 in the polynomial function, it become zero.
Thus subsituting the value of x in the polynomial,
![\begin{gathered} P(3)=3^3-7\times3^2+15\times3-9 \\ =27-7\times9+45-9 \\ =27+45-63-9 \\ =72-72 \\ =0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%283%29%3D3%5E3-7%5Ctimes3%5E2%2B15%5Ctimes3-9%20%5C%5C%20%3D27-7%5Ctimes9%2B45-9%20%5C%5C%20%3D27%2B45-63-9%20%5C%5C%20%3D72-72%20%5C%5C%20%3D0%20%5Cend%7Bgathered%7D)
Here, the obtained value of polynomial is 0.
Hence, x-3 is a factor of the given polynomial.
Thus, option A(true) is correct.