Answer:
C
Step-by-step explanation:
the equation of the parabola is : y = x² - 3x
the equation of the line is y = x + 1
and the shaded area is between those graphs
therefore y ≥ x² - 3x and y ≤ x + 1
2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form

We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.
Hey there!!
The given set is a function
( x , y ) - this is the form in which we write co-ordinates
In order to be a function , at least x values shall repeat.
Noted down all the x values
2 , -1, 4 , -2
None of the values is repeating.
Hence, the given data is a function
Hope my answer helps!
Answer:
$34.50 saved
Step-by-step explanation:
230 - 15% = $195.5
230 - 195.5 = 34.5 saved
miles per gallon (x) = d/g
x = 476/14 = x = 34 miles per gallon
so d/x = g
578/34 = 17 gallons are needed