The function f(x) has a minimum value of
2(-1)+2 = 0
The function g(x) has a minimum value of g(3) = -2
The function h(x) has a minimum value of h(1) = 3
Of the minimum values 0, -2, 3, the least is -2, corresponding to
g(x).
Plug in 2 for x
f(2) = 3(2) + 8
f(2) = 6 + 8
Solution: f(2) = 14
Answer:
b. The vertical asymptote does not change, the horizontal asymptote changes to y= -7
Step-by-step explanation:
k = -7 is a vertical shift of -7
in the transformation
g(x) = f(x) + k
See also figure attached.
Pythagoras theorem : a^2 + b^2 = c^2
20^2 + b^2 = 29^2
400 + b^2 = 841
841 - 400 = 441
Square root 441 = 21
PERIMETER :
21+29+20 = 70
The answer is 70
Answer:
y=3/4x-3
Step-by-step explanation:
Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.
To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps
