<span> 32=2^5
^ = "to the power of"
1/32=1/2^5
1/2^5=2^-5
so
1/32=2^-5 </span>
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
![f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\]](https://tex.z-dn.net/?f=f%28x%29%5C%5B%20%5Cbegin%7Bcases%7D%20%20%20%20%20%20%20-2-x%20%26%20if%5C%3Ax%5Cleq%201%20%5C%5C%20%20%20%20%20%20-3%2B2x%20%26%20if%5C%3A%20x%3E1%20%20%20%5Cend%7Bcases%7D%5C%5D)
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for 
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for 
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
5(8x-2)=270
distribute the 5 into 8x-2
5*8x-5*2=270
you get
40x-10=270
combine like terms
40x=280
divide both sides by 40 to find x
x=7
Answer:
slope = 5/2
Step-by-step explanation:
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 5/2x -3
The slope is 5/2 and the y intercept is -3