[] signs mean that the number is included in the domain and () mean that the number is not included. Now,
1. [-1,5)
Because x is greater than or equal to -1 (included) but less than 5 (excluded
2. [-5,13)
When we plug in x = -1, we get the minimum value of -5, which is included because its x-value was included. The, we plug in x = 5 to find the range's maximum and this is excluded because its x-value was excluded.
3. 218
x = 6 lies in the domain of the first function so we will use it to evaluate the value of x = 6. We do this by simply substituting x into the function.
4. 12
x = 9 is included in the domain of the second function and the value of the second function at all points is 12.
5. 103
x = 10 is included in the domain of the second function so we will use it to evaluate the value of x = 10. This is done by substituting x into the equation.
Answer:
a) Rumble: $1
Pedal: $0.6
b) more than 5 songs
c) No, should be integers only
d) No, has to be integers greater than or equal to 2
Step-by-step explanation:
Part a
Rate per song is the slope.
Rumble:
Slope is 0.6
Rate is $0.6 per song
Pedal:
Slope: (4-2)/(2-0) = 1
Rate is $1 per song
Part b
Pedal would be a better deal if it's cost is lower than Rumble's
Rumble's cost: C = 2 + S
Pedal's cost: C = 4 + 0.6S
4 + 0.6S < 2 + S
0.4S > 2
S > 5
c) No, because no. of songs has to be positive integers only.
For example graph shows S = 2.5, but we know that's not possible
d) No, since the cost is 2 + S,
cost can't be in decimals either.
Cost too should be only integers greater than equal to 2
1) 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 1 Cup and a half.
Divide the pages read by the portion read:
60/ 3/4 = 60 x 4/3 = 240/3 = 80
The book has 80 pages.
First of all we know he is at the 12th round, so 11 rounds of 3 minutes passed, so 11 x 3= 33 minutes passed, but we also know that he passed two minutes of the 12th round so 33+2= 35 minutes.
The player played for 35 minutes.