Answer:
k =1
Step-by-step explanation:
Solve for k:
0.5 k + 2.5 = 2 (k + 0.5)
Expand out terms of the right hand side:
0.5 k + 2.5 = 2 k + 1
Subtract 2 k from both sides:
(0.5 k - 2 k) + 2.5 = (2 k - 2 k) + 1
0.5 k - 2 k = -1.5 k:
-1.5 k + 2.5 = (2 k - 2 k) + 1
2 k - 2 k = 0:
2.5 - 1.5 k = 1
Subtract 2.5` from both sides:
(2.5 - 2.5) - 1.5 k = 1 - 2.5
2.5 - 2.5 = 0:
-1.5 k = 1 - 2.5
1 - 2.5 = -1.5:
-1.5 k = -1.5
Divide both sides of -1.5 k = -1.5 by -1.5:
(-1.5 k)/(-1.5) = (-1.5)/(-1.5)
(-1.5)/(-1.5) = 1:
k = (-1.5)/(-1.5)
(-1.5)/(-1.5) = 1:
Answer: k = 1
Answer:
(The first picture in the first black space.)
(The third picture in the second blank space)
Step-by-step explanation:
The answer you already have selected in the image is correct. Even eyeballing it, you can see that the smaller shape fits into the larger shape 4 times.
it's going up and to the right (slope of 2/1 or up 2 right 1) through the point 0,-5 as you set x to 0 to get f(x)=2(0)-5 , f(x)=0-5, f(x)=-5. getting points 0,-5
Answer: See below
Step-by-step explanation:
The general transformation equation for an absolute value function is
y=a | x−h |+k.
f(x)=|x+4|
Horizontal translation 4 units left (positive value, move left)
f(x)=|x|-4
Vertical translation down 4 units (negative k value, move down)
f(x)=|x-4|
Horizontal translation 4 units right (negative value, move right)
f(x)=|x|+4
Vertical translation up 4 units (positive k value, move up)