Answer:
The Factor of expression using the greatest common factor is ![2p(3p^2- p-4)](https://tex.z-dn.net/?f=2p%283p%5E2-%20p-4%29)
Step-by-step explanation:
Consider the provide expression.
![6p^3- 2p^2 - 8p](https://tex.z-dn.net/?f=6p%5E3-%202p%5E2%20-%208p)
We need to Factor the expression using the greatest common factor.
First look at the coefficients of the variable.
The coefficients are the factor of 2.
Variable p is the greatest common factor in the provided expression.
![2p\times 3p^2- 2p\times p- 2p\times 4](https://tex.z-dn.net/?f=2p%5Ctimes%203p%5E2-%202p%5Ctimes%20p-%202p%5Ctimes%204)
![2p(3p^2- p-4)](https://tex.z-dn.net/?f=2p%283p%5E2-%20p-4%29)
Hence, the Factor of expression using the greatest common factor is
.
Answer:
44.59
Step-by-step explanation:
49.92*2 = 49.96/2 = 124.90
Tax on that is 124.90*1.071 = 133.7679
Divide that 3 to get average mean cost
133.7679/3 = 44.589
round to 44.59
Answer:
34.56 inches
Step-by-step explanation:
The formula for the circumference is : ![\pi *diameter](https://tex.z-dn.net/?f=%5Cpi%20%2Adiameter)
The diameter is the full length of the interior of a circle.
To work this out you would simply multiply the diameter of 11 by pi, which gives you 34.56.
1) Multiply pi by 11.
![\pi *11=34.56](https://tex.z-dn.net/?f=%5Cpi%20%2A11%3D34.56)
Answer: inverse of given function = log(x)/log(3)
Step-by-step explanation: how to find the inverse of any function?
in the complete function, replace y with "x" and x with "y"then, solve the obtained equation from step 2 for yand, then the value obtained for "y" is the inverse required i.e. = f^{-1}(x)
now, we solve the problem:
given : - y = 3^x
replacing the value of "y" with "x", we get,
x = 3^y
to solve for "y" we should take the "logarithm" for both sides
log (x) = y log(3)
or y = log(x)/log(3)
or f^(-1) (x) = log(x)/log(3)
( I hope this helped <3 )
Y = x - 7....so sub in x - 7 for y in the other equation
5x + 2y = 7
5x + 2(x - 7) = 7
5x + 2x - 14 = 7
5x + 2x = 7 + 14
7x = 21
x = 21/7
x = 3
y = x - 7
y = 3 - 7
y = -4
solution is (3,-4)