Answer:
(2x+3)^2
Step-by-step explanation:
Factoring you get (2x+3)(2x+3)=(2x+3)^2
No the triangles are not similar because the side lengths of them are different. For example, 2.84 and 9
I think you add subtract then find the domain and multiple it by the domain and add subtract and try to multiple it again
The cost of the file is $6.15 and the cost of the pen is $8.9
<h3>Solving word problems with systems of linear equations.</h3>
The interpretation of the given word problem leads to a system of linear equations.
From the given information:
- Let the file be denoted with f and the pen be denoted with p
f + 3p = 32.85 --- (1)
2f + 8p = 83.5 --- (2)
From equation (1)
f = - 3p+32.85
Replace the value of f in the above equation into equation (2)
2(-3p + 32.85) + 8p = 83.5
2p + 65.7 = 83.5
2p = 83.5 -65.7
2p = 17.8
p = 17.8/2
p = 8.9
Replacing the value of p = 8.9 into f = - 3p+32.85
f = -3(8.9)+32.85
f = 6.15
Therefore, we can conclude that the cost of the file is $6.15 and the cost of the pen is $8.9.
Learn more about solving a system of linear equations here:
brainly.com/question/13729904
#SPJ1
Answer:
4n + 1
Step-by-step explanation:
The first term is 5.
Each new term is 4 plus the previous term.
Term 1 = 5
Term 2 = 5 + 4
Term 3 = 5 + 4 + 4
Term 4 = 5 + 4 + 4 + 4
Notice that for each new term, you add one 4 less than the number of the term.
In term 1, you have 5 and no 4 added.
In term 2, you add one 4 to the 5.
In term 3, you add two 4's to the 5.
In term n, you add (n - 1) 4's to the 5.
Term n = 5 + (n - 1)4
Term n = 5 + 4n - 4
Term n = 4n + 1
Answer: 4n + 1