g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
Y = √8x³
dy/dt = 2√2 * 3/2 * √x * dx/dt
⇒ 5 = 2√2 * 3/2 * √2 * dx/dt
⇒ 5 = 6 dx/dt
⇒dx/dt = 5/6 cm/s
x coordinate is changing at 5/6 cm/s
Hope it helps!
Complete question :
A construction crew built 1/2 miles of road in 1/8 days. What is the unit rate in miles per day? Write your answer in simplest form.
Answer:
3 miles per day
Step-by-step explanation:
Given that:
1/2 miles of road takes 1/8 days
Unit Rate in miles per day :
Miles of road built / number of days taken
1/2 miles ÷ 1/8 days
1/2 * 8/1
= (1*8) / (2*1)
= 8/2
= 4
Unit Rate = 4 miles per day
Form the ratio 560/2800 and then mult. the result by 100%:
560
--------- * 100% = 20%
2800
