Answer:
The domain is 
and its range is 
The y-intercept is (0,3).
Step-by-step explanation:
Consider the parent function 
Its domain is 
and its range is 
The graph of the function 
is obtained from the graph of parent function by translation 3 units up (see diagram). This translation doesn't change the domain and will change the range of the function, thus the domain is and its range is
To find th y-intercept you have to find y at x=0:
Hence, the y-intercept is (0,3).
-8x+5y= -40
First, add 8x to both sides
5y= 8x-40
Now divide both sides by 5
y= 8/5x-8
For this case, the first thing we must do is define variables.
We have then:
n: number of cans that each student must bring
We know that:
The teacher will bring 5 cans
There are 20 students in the class
At least 105 cans must be brought, but no more than 205 cans
Therefore the inequation of the problem is given by:
Answer:
105 <u><</u> 20n + 5 <u><</u> 205
the possible numbers n of cans that each student should bring in is:
105 <u><</u> 20n + 5 <u><</u> 205
Answer:
1/4
Step-by-step explanation:
I think that the expression is correct
(1/2)^3 x 2 = 1/8 x 2 = 1/4
Answer:
t = 5 s
Step-by-step explanation:
The function that gives the height in feet of the ball t seconds after it is thrown is :
We need to find how long will it be before the ball hits the ground. When it hits the ground, its height will be equal to 0.
So,
We need to solve this equation. When we solve, we get its solution as shown in the figure. We can see that t = -2 s and t = 5 s.
t = -2 s is not possible.
Hence, the ball will hit the ground before 5 seconds.
