Answer:
Photo.
Step-by-step explanation:
A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2
B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.
Answer:
2(4x+1)
Step-by-step explanation:
We can factor out 2 in both parts to get that.
Answer:
4x and 7x; -3 and 1: these are like terms
Step-by-step explanation:
when finding like terms, look for same variables.
Answer:
C
Step-by-step explanation:
Here, originally, we are told that the point Q has coordinates (-2,1)
Now, its dilated point has the coordinates (-8,4)
what we can observe here is the the shape original polygon was dilated by a factor of 4 to give the image
Now the point R’ is (0,8)
To get the point R , we simply divide each coordinate by 4
Thus, we have (0/4 , 8/4)
This is same as option C
Answer:
11
Step-by-step explanation:
First, write an equation to represent the situation.
34 = 2a + 12
This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.
Now just solve for a.
34 = 2a + 12
First, subtract 12 from both sides.
22 = 2a
Then divide both sides by 2.
11 = a
So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.