
The coordinates of the point marked there is :
Answer:
Recursive formula is: 
Explicit formula is: 
Step-by-step explanation:
We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27
In the given sequence First term a₁= -1
Common difference d = 7
Finding Recursive Formula
The recursive formula is of type:
and 
Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:

Finding Explicit Formula
The explicit formula is of type: 
We have
First term a₁= -1
Common difference d = 7
So, explicit formula will be:

So, explicit formula is: 
Answer:
-2
Step-by-step explanation:
Start with the vertex form of the equation of a parabola: y - k = a(x - h)^2
Here h = -2, k = -3, x = -1, y = -5. Find a:
-5 - [-3] = a(-1 - [-2])^2, or
-5 + 3 = a(1)^2, or
-2 = a
The unknown coefficient is -2.
Answer:
She rode 17.4 miles in 1 hour
Step-by-step explanation:
A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour?
Part A Estimate the quotient. Include an equation to show your work. Explain your thinking.?
The quotient is the average speed and this is calculated as:
Speed = Distance(miles)/Time(hours)
Where speed = quotient
Distance = Dividend
Time = Divisor
Speed = 60.9 miles/3.5 hours
= 17.4 miles/hour
Part B Find the exact distance she rode in 1 hour by completing the division. PLEASE HELP!
If :
3.5 hours = 60.9 miles
1 hour = x miles
Cross Multiply =
3.5x = 60.9 miles
x = 60.9/3.5
x = 17.4 miles
Hence, she rode 17.4 miles in 1 hour
Answer:
its option 2!
Step-by-step explanation:
www.inchcalculator.com/compare-fractions