Average rate of change refers to the slope of a function/equation.
To solve this, plug in for both x values and calculate the average, or mean.
x = 1
f(1) = 5(2)^1
= 5(2)
= 10
x = 5
f(5) = 5(2)^5
= 5(32)
= 160
Now, you calculate the average:
10 + 160 = 170
Divide by 2 and you get 85.
Answer: 3/25 and 9/20
Step-by-step explanation:
We take the number and covert it into a fraction
A 2 digit Numerator = a 3 digit denominator
A 3 digit Numerator = a 4 digit denominator
And so on...
Then We can reduce,
45/100 = 9/20
120/1000 = 3/25
Hope this helped!
Answer:
No solutions
Step-by-step explanation:
Step: Solve−3x+7y=−12 for x:
Step: Substitute
0 = -12 so No Solutions
If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.
Thus, the polynomial will have form
where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.
The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).
Answer:
a) 
b) 394 thousand = 394,000 people will be following the website in 2016
Step-by-step explanation:
Exponential equation for an amount:
The exponential equation for an amount after t years has the following format:

In which y(0) is the initial value and r is the growth rate, as a decimal.
A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.
This means that: 
a. Write an exponential growth function that represents the number of followers t years after 2010
In thousands:


b. How many people will be following the website in 2016?
2016 is 6 years after 2010, so this is y(6).

Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016