Answer:
Domain → (-∞, ∞)
Range → (-2, ∞)
Step-by-step explanation:
1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).
From the graph attached,
Function is defined for all real values of x.
Therefore, domain of the function will be (-∞, ∞).
On y-axis values of the function vary from -2 (excluding 2) to positive infinity.
Therefore, range of the function will be (-2, ∞).
2). Average rate of change of a function in the interval (a, b) is defined by,
Average rate of change = 
By using this expression we can find the average rate of change in the given interval.
Please give the correct interval for which the average rate of change is to be calculated.
Answer: x = 7
Step-by-step explanation:
To solve the equation,
First step, open the bracket
3(x-5)-14=2(x-7)+2
3x -15 -14 = 2x -14 +2
Then, add the like terms
3x - 29 = 2x -16
Transpose the values at the right hand side to the left hand side
3x - 2x = -16 + 29
x = 7
1. Check the tree diagram in the picture attached.
2. The blue segment represents "on time"
The red segment represents "not on time"
3. blue - blue - red represents the case 1st on time, 2nd on time, 3rd not on time.
the combined probability is 90/100*90/100*10/100=9/10*9/10*1/10=99/1000=0.099
4. Remark with a tree diagram we can tell anything asked about the probability of an experiment.
There are 26 letters in the english alphabet, asussuming that they are all upper case, you would multiply 26×6 to find all of the different combinations of numbers.
there are 1000 possible ways to organize the nine individual numbers (000, 001, 002,...,999)
I hope that helps, I am not really sure how you would go on from there, good luck!
Answer:
57
Step-by-step explanation:
180-123=57
that line the angle is on is a straight line and a straight line is 180 degrees
