The perfect squares are 25, 36, 49, 64, 81, 100, 121, 144, 169. You know a number is a perfect square when there is a whole number that can be multiplied by itself to get the number. Example: 25= 5x5
Hope that helps if you need a better explanation let me know.
f(x) = 7 is a even function
<em><u>Solution:</u></em>
Given that we have to find the even function
A function is even if and only if f(–x) = f(x)
<em><u>Steps to follow:</u></em>
Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even.
If f(-x) = - f(x), the function is odd.
If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.
<h3>Option 1</h3>
![f(x) = (x - 1)^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%201%29%5E2)
Substitute x = -x in above function
![f(-x) = (-x - 1)^2](https://tex.z-dn.net/?f=f%28-x%29%20%3D%20%28-x%20-%201%29%5E2)
Thus ![f(-x) \neq f(x)](https://tex.z-dn.net/?f=f%28-x%29%20%5Cneq%20f%28x%29)
So this is not a even function
<h3>Option 2</h3>
f(x) = 8x
Substitute x = -x in above function
f(-x) = 8(-x) = -8x
Thus ![f(-x) \neq f(x)](https://tex.z-dn.net/?f=f%28-x%29%20%5Cneq%20f%28x%29)
So this is not a even function
<h3>Option 3</h3>
![f(x) = x^2 - x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20-%20x)
Substitute x = -x in above function
![f(-x) = (-x)^2 - (-x) = x^2 + x](https://tex.z-dn.net/?f=f%28-x%29%20%3D%20%28-x%29%5E2%20-%20%28-x%29%20%3D%20x%5E2%20%2B%20x)
Thus ![f(-x) \neq f(x)](https://tex.z-dn.net/?f=f%28-x%29%20%5Cneq%20f%28x%29)
So this is not a even function
<h3>Option 4</h3>
f(x) = 7
f(-x) = 7
Thus f(-x) = f(x)
Thus it is a even function
4. Just look at the graph, and see which coordinates are on the line.
D, E, and F are on the line.
5. The y-coordinate is <em>(0,4)</em>, and the slope is (4 + 8)/(0 - 4) = <em>-3</em>. Therefore, the equation of the line is <em>y = -3x + 4</em>. Plugging in the numbers we know gives us <em>b = -3*8 + 4</em>. b = -20.
6. Find the number of times P is on a line. There are two lines that do so.
Answer:
1124.
Step-by-step explanation:
The common difference (d) is -16 - (-28) = 12, ( also -28 - (-40) = 12).
The nth term of an A.S. is a1 + d(n - 1) where a1 = first term, d=common difference.
so the 96th term of the given A.S. is:
-16 + 12(96 - 1)
= -16 + 12*95
= 1124.