Answer:
(-2/5, 1/5)
Step-by-step explanation:
A graphing calculator nicely provides a solution to equations when graphing is an option.
(x, y) = (-2/5, 1/5)
Answer:
7
Step-by-step explanation:
First, you need to plug in the values for x. Here, we know that x = 5. So, when we plug it in we get 2^5 - 5^2. When we simplify, we then get 32 - 25. Thus, 32 - 25 = 7.
Answer:
2.5048
Step-by-step explanation:
Hope this helped!
Answer:
A. Here the y-intercept is (0,4) and means at time 0 hours the fish is displaced 4 feet.
B. For every hour, the fish is displaced 60 more feet.
C. The domain is [0, 12].
Step-by-step explanation:
Part A:
The y-intercept is where the function intersects the y-axis. It is the point (0,b) and is always the starting value in real world situations since time begins at x=0. Here the y-intercept is (0,4) and means at time 0 hours the fish is displaced 4 feet.
Part B:
The average rate of change is the slope of the function found using the formula
. Use the points (0,4) and (1,64).
![m = \frac{y_2-y_1}{x_2-x_1} =\frac{64-4}{1-0} =\frac{60}{1} =60](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B64-4%7D%7B1-0%7D%20%3D%5Cfrac%7B60%7D%7B1%7D%20%3D60)
For every hour, the fish is displaced 60 more feet.
Part C:
The domain is the set or group of x values in the function. Time starts at 0 and goes until the fish traveled 724 feet. What time is this at?
The function has the equation y = 60 +4. Find the time by substituting y=724.
724=60x+4
720 = 60x
12=x.
The domain is [0, 12].
4 x 213 = 4 x (200 + 10 + 3) = 852