Answer:
g(x) = 
+ 4
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) is shifted up 4 units, thus translated function is
g(x) = f(x) + 4 = + 4
-7(4-2)+1=15-7x
-7 x 2 + 1 = 15 - 7x
-14 + 1 = 15 -7x
-13 -15= -7x
-28 = -7x
-28 / -7 = x
x=4
3x - 54 = 160 >I just flipped the equation
3x - 54 (+54) = 160 (+54) added 54 each
3x = 160
3x/3 = 160/3 >divided 3 to each side
x = 160/30
or 53.33333333333333333~
A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
X and y
2(x+y)=xy
x is 3 times y
x=3y
easy, sub 3y for x
2(3y+y)=(3y)y
2(4y)=3y²
8y=3y²
divide both sides by y
8=3y
divdie both sides by 3
8/3=y
sub back
x=3y
x=3(8/3)
x=8
the smaller number is 8/3
larger is 8
