Answer:
x = -19
Step-by-step explanation:
-3= 12x-5(2x-7)
Distribute
-3= 12x-10x+35
Combine like terms
-3 = 2x +35
Subtract 35 from each side
-3-35 = 2x+35-35
-38 = 2x
Divide each side by 2
-38/2 = 2x/2
-19 =x
Add all sides.
5x+2+3x+8+4x-1
Combine like terms
12x+9
Subtract nine to get it on the other side of the equal sign
12x= -9
Divide by twelve
x=-9/12
Simplify
x=-3/4
Plug in x.
Complete the table for the function y = 0.1^x
The first step: plug values from the left column into the ‘x’ spot in the formula <u>y=0.1^x</u>.
* 0.1^-2 : We can eliminate the negative exponent value by using the rule a^-1 = 1/a. Keep this rule in mind for future problems. (0.1^-2 = 1/0.1 * 0.1 = 100).
* 0.1^-1 = 1/0.1 = 10
* 0.1^0 = 1 : (Remember this rule: a^0 = 1)
* 0.1^1 = 0.1
Our list of values: 100, 10, 1, 0.1
Now, we can plug these values into your table:
![\left[\begin{array}{ccc}x&y\\2&10\\1&10\\0&1\\1&0.1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%5C%5C2%2610%5C%5C1%2610%5C%5C0%261%5C%5C1%260.1%5Cend%7Barray%7D%5Cright%5D)
The points can now be graphed. I will paste a Desmos screenshot; try to see if you can find some of the indicated (x,y) values: [screenshot is attached]
I hope this helped!
Answer:
$409 per month
Step-by-step explanation:
If josefina paid $2045 over a time period of 5 months, then we have to divide how much she paid ($2045) by 5 to find out how much she paid for rent in 1 month.
We can use the equation: 2045 ÷ 5
When we solve that equation, we get 409 which means that josefina paid $409 per month for rent.
(sorry if this is confusing but I hope it helped)