2 yards is the longest because it equals to 72 inches while the rest are under 70 inches.
Answer:
The value of k would be 4
Step-by-step explanation:
If f(x) is shifted vertically k unit upward then,
Transformed function is,
g(x) = f(x) + k,
Using the given graph,
line f(x) passes through (0, -3)
line g(x) passes through (0, 1)
Difference in y-coordinate = 1 - (-3) = 1 + 3 = 4
∵ y-coordinate represents the vertical shifting,
So, g(x) = f(x) + 4,
Hence, the value of k would be 4.
Answer:
a) I used the equation x=-5; f(x)=-11 and x=-4; f(x)=-3. We get the range = -3-(-11)=8
b) I used the equation x=-5; f(x)=-11 and x=-3; f(x)=5. We get the range = 5-(-11)=16
c) I used the equation x=-5; f(x)=-11 and x=-2; f(x)=13. We get the range = 13-(-11)=24
d) Range of input is equal with the ratios of the output. You can find the pattern of output above 8,16,and 24 can divided by 8 and give the result 1,2 and 3
To find slope, pick any 2 points and use formula: (y2-y1)/(x2-x1)
2 points on line: (4,0), (0,-2)
(-2-0)/(0-4) = -2/-4 = 1/2
a) the slope is 1/2
Y = 1/2x + b
0 = 1/2(4) + b
0 = 2 + b, b = -2
b) -2 is the y intercept
Put the equation together
c) y = 1/2x - 2
G is not necessarily the midpoint of EX, G could be at -3 or +9 and X could be at -9 or +15. If G and X are on the same side of E, then G is at the midpoint of EX, if they are on opposite sides, G is not the midpoint of EX.