Answer:
Step-by-step explanation:
s+1+2s-1+90=180 degree(being linear pair)
3s+90=180
3s=180-90
s=90/3
s=30 degree
Answer:
k=6 and x=-11. Another way to say it is 6,11.
Step-by-step explanation:
I used a System of equations calculator. I put the link below if you ever need it. It has helped me out a lot. Good luck on your test!
https://www.mathpapa.com/system-calculator.html
When there is one soda, there is 25 cents, and when there are 3 sodas, there are 75 cents included in the total. So, it's safe to assume that the soda has a minimum of 25 cents each.Then, there are the same amount of donuts in both parts. So, the donuts will take up the same amount of money in both. If you can find how much those donuts are worth, you can find how much the sodas are worth, plus the 25 cents, for each.
If the donuts are worth $1 each, then take away $2 from each total.
You'll get 6.75 for the first, and 2.25 for the second.
From reasoning, you can get that each soda is equal to $2.25 and each donut is equal to $1.
There are different ways to do this, but the way I did it is simply the way my brain works.
From factoring, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2).
<h3>Factoring</h3>
In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).
Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).
Thus, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2)
Learn more about the factoring here:
brainly.com/question/11579257
#SPJ1
Answer:
3(x² + 1) + 2
Step-by-step explanation:
(f ○ g)(x) = f(g(x))
Substitute x = g(x) into f(x), that is
f(x² + 1) = 3(x² + 1) + 2 ← is the equivalent statement
