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: The original number is 175
Step-by-step explanation:
The number will be represent by x .
The number is being divided by 5 so we can represent by the expression x/5.
After than is being added to 18 so we will add 18 to the expression.
x/5 + 18 .
It has to equal to 9 less than 62 and 9 less than 62 is the same as the expression 62 -9.
Whole equation will be x/5 + 18 = 62 - 9
+ 18 = 62 - 9 Combine like terms on the right side
x/5 + 18 = 53 Subtract 18 from both sides
-18 -18
x/5 = 35 Multiply both side by 5.
x = 175
This means the original number is 175.
Answer:
26.88/7 = $3.84 per ounce
Step-by-step explanation:
Answer:
For D. X= 3, or 0 but probably not 0
For the 2nd picture you sent, x= -2, or -3
Step-by-step explanation:
So for D. you want to make sure you only have 1 Variable, and since we know y=x squared + 7x+5, we subsitute y for what it is equal to.
Then we refine the question, which takes it out to
x squared-3x+5=5 (because the 7x-10x = 3x)
We subtract 5 from both sides which leaves us with x Squared - 3x= 0
Which we then solve with the Quadratic formula. and we separate the solutions to get the different answers for 3, and 0