Answer:
k=17
Step-by-step explanation:
Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.
The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.
Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.
Now add 10 to this x coordinate , we get x1=
=
this is x coordinate where the second line meets the x-axis.
The second line is F(x)=2x-k.
now f(x)=0 and x=17/2
On substitution we get 
k=17
Answer:
Step-by-step explanation:
To solve this problem, we can use the area of a circle formula as shown below:
<em>A = area</em>
<em>r = radius</em>
<em />
First we need to find the radius.
The radius is half of the diameter. For this problem, the radius is going to be 3.
Now, plug the values into the equation:
The window's area is
Set of all counting number
Answer:
The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Initial population: 32,000
</em>
- <em>Growth per year: 8%
</em>
So, to obtain "y" (the number of people living in the town after x years), we have to multiply the initial population by 1+ 0.08 (the growth rate is 8%/100=0.08 and the original value) and the number of years (x).
Mathematically speaking:
y = 32,000 (1+0.08) x
y= 32,000 (1.08) x
The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
