Answer: 23%
explanation:
4 + 6 + 2 + 2 + 3 + 4 + 6 + 3
There are total of 30 students.
4 + 3
7 students are freshman.
Find the percentage.
7/30 × 100
700/30 = 23.333333...
Round to nearest whole percent.
⇒ 23%
One meaning of a 'linear' equation is that if you draw the graph
of the equation, the graph will be a straight line.
That's an easy way to test the equation . . . find 3 points on the
graph, and see whether they're all in a straight line.
This equation is y = 4 / x .
To find a point on the graph, just pick any number for 'x',
and figure out the value of 'y' that goes with it.
Do that 3 times, and you've got 3 points on the graph.
Here ... I'll do 3 quick points:
Point-A: x = 1 y = 4 / 1 = 4
Point-B: x = 2 y = 4 / 2 = 2
Point-C: x = 4 y = 4 / 4 = 1
Look at this:
Slope of the line from point-A to point-B
= (change in 'y') / (change in 'x') = -2 .
Slope of the line from point-B to point-C
= (change in 'y') / (change in 'x') = -1/2 .
The two pieces of line from A-B and from B-C don't even have
the same slope, so they're not pieces of the same straight line !
So my points A, B, and C are NOT in a straight line.
So the equation is NOT linear.
Try it again with three points of your own.
Answer:
1.3 x 10^6
8.825 x 10^8
1.25 x 10^4
5.167 x 10^7
Step-by-step explanation:
The given function is
![f(x)=3x+2](https://tex.z-dn.net/?f=f%28x%29%3D3x%2B2)
A . f(4) means we have to evaluate the function when x = 4.
![f(4)=3(4)+2=12+2=14](https://tex.z-dn.net/?f=f%284%29%3D3%284%29%2B2%3D12%2B2%3D14)
<h2>Therefore, f(4) = 14.</h2>
B. f(x) = 50 means we have to evaluate the function when y = 50.-
![\begin{gathered} 50=3x+2 \\ 50-2=3x \\ x=\frac{48}{3} \\ x=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2050%3D3x%2B2%20%5C%5C%2050-2%3D3x%20%5C%5C%20x%3D%5Cfrac%7B48%7D%7B3%7D%20%5C%5C%20x%3D16%20%5Cend%7Bgathered%7D)
<h2>Therefore, f(16) = 50.</h2>
C. f(-5) means we have to evaluate the function when x = -5.
![f(-5)=3(-5)+2=-15+2=-13](https://tex.z-dn.net/?f=f%28-5%29%3D3%28-5%29%2B2%3D-15%2B2%3D-13)
<h2>Therefore, f(-5) = -13.</h2>
D. f(x) = -34.
![\begin{gathered} -34=3x+2 \\ -34-2=3x \\ x=\frac{-36}{3} \\ x=-12 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-34%3D3x%2B2%20%5C%5C%20-34-2%3D3x%20%5C%5C%20x%3D%5Cfrac%7B-36%7D%7B3%7D%20%5C%5C%20x%3D-12%20%5Cend%7Bgathered%7D)
<h2>Therefore f(-12) = -34.</h2>
Since the only places where an x-ordinate exist are the closed circles, the domain will simply be:
D: { -5, -4, -3, 1, 2, 5 }