Answer:
The first multiple-choice doesn't represent a function
Step-by-step explanation:
(-4,3),(1,-6),(-8,-1),(1,9)
because a function has two pairs with the same x value
*hope that makes sense*
(2m + 3)(m^2 - 2m + 1) =
2m(m^2 - 2m + 1) + 3(m^2 - 2m + 1) =
2m^3 - 4m^2 + 2m + 3m^2 - 6m + 3 =
2m^3 -m^2 - 4m + 3 <===
By using the elimination method, you would essentially add the two equations together by combining like terms. normally this would require manipulation however this equation doesn't because the y is already opposites of each other. (a negative and positive value of the same number i.e. -2 and 2)
so add the two equations together and you're left with 2x = 16, (they y's cancelled each other out) then divide two on both sides to get x = 8
now, use that x value in either equation (it doesn't matter which), we can use -3x+2y=-26
plug it in to get -3(8) + 2y = -26
which is then -24 + 2y = -26
add 24 to both sides: 2y = -2
divide 2 on both sides: y = -1
now knowing x=8 and y= -1 we can say that the answer is (8,-1)
hope this helps!!
Answer:
Enlargement.
Scale Factor: 3
Step-by-step explanation:
Use points to find the enlargement. Typically, you will use all the points.
A(1 , 1) ⇒ A'(3 , 3)
B(2 , 1) ⇒ B'(6 , 3)
C(1 , 2) ⇒ C'(3 , 6)
D(2 , 2) ⇒ D'(6 , 6)
To find the scale factor, simply divide the Point' with the original Point. Use any number.
A'(3 , 3)/(A(1 , 1)) = 3
B'(6 , 3)/(B(2 , 1)) = 3
C'(3 , 6)/(C(1 , 2)) = 3
D'(6 , 6)/(D(2 , 2)) = 3
Your scale factor is 3.
