Answer:
5/12
Step-by-step explanation:
First you add 1/4+2/3.
You need to change the denominator so that they are equal to each other
If you multiply the 1/4 by 3/3 you will get 3/12 which is equal to 1/4
Then you need to do the same to 2/3. This time you need to multiply it by 4/4 to get the same denominator which will be 2/3*4/4=8/12
Then you add 3/12+8/12=11/12. You don't need to add the denominator.
After this you will need to subtract 11/12 and 1/2. This time you need to only change the denominator for 1/2.
You multiply the denominator and numerator by 6/6 to 1/2 and you will get 6/12 then you are going to subtract 11/12-6/12 and you will get 5/12
You just have to plug in each thing:
So f(0):
3(0)^2 - 4 = -4
so its not A
f(-2) and f(2):
3(-2)^2 - 4
3(2)^2 -4
now we don't even have to calculate these, anything to the power of an even number is a positive number so -2^2 and 2^2 both equal 4
B is correct, so you can do the others if you want to check, but if B is true the others shouldn't be true.
Answer:
-3
Step-by-step explanation:
Slope = change of x over change of y
6 over 2
3
line goes down so slope is negative
-3
Answer:
The difference of 8 times a number r and 12 is solved for a number r and is given by ![r=\frac{3}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
Given problem is the difference of 8 times a number r and 12
It can be written as
![(8\times r)-12](https://tex.z-dn.net/?f=%288%5Ctimes%20r%29-12)
To simplify the above expression :
8r-12
![8r-12=0](https://tex.z-dn.net/?f=8r-12%3D0)
( using addition property of equality )
![8r=12](https://tex.z-dn.net/?f=8r%3D12)
(using division property of equality )
![r=\frac{3}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B2%7D)
Therefore ![r=\frac{3}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B2%7D)
Therefore the difference of 8 times a number r and 12 is solved for a number r and is given by ![r=\frac{3}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B2%7D)
1. 9/10 + 7/9 = 81/90 + 70/90 = 151/90 = 1 61/90
2. 1/2-3/11 = 11/22-6/22 = 5/22
3. 2/5-1/15 = 6/15-1/15 = 5/15 =1/3