F(x) =16ˣ and g(x) = 16⁽ˣ/₂⁾
Since 16 = 2⁴, then we can write:
f(x) =2⁽⁴ˣ⁾ and g(x) = 2⁽⁴ˣ/₂⁾ = 2²ˣ
for x = 1 f(x) = 2⁴ = 16
for x = 1 g(x) = 2² = 4
(√16 = 4)
for x = 2 f(x) = 2⁸ = 256
for x = 2 g(x) = 2⁴ =16
(√256) = 16
for x = 3 f(x) = 2¹² = 4096
for x = 1 g(x) = 2⁶ = 64
(√4096 = 64)
We notice that:
The output values of g(x) are the square root of the output values of f(x) for the same value of x.
Answer: 3/2
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Explanation:
Pick any two points on the red line. I'll pick (0,1) and (2,4)
Those coordinates will be plugged into the slope formula below
m = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(2 - 0)
m = 3/2
This means we go up 3 and over to the right 2 when traveling along this red line.
There are 36 inches in a yard. 36*6.75 =243. 6.75 yards is the same as 243 inches.
Answer:
c
Step-by-step explanation:
