When finding the average of values that are all equal to one another, the average will always be that same value. So the average of 6/4, 6/4, and 6/4 is 6/4.
Step-by-step explanation:
The given equation is :
4(3x+2)=4(2x+3)+4x
Solving LHS, = 12x+8
Solving RHS, = 8x+12+4x
So,
12x+8 = 8x+12+4x
12x + 8 = 12x +12
12x cancel out from both sides, the given equation becomes not defined.
The polynomial expression that represents AB + C in simplest form is: x³ + 3x² + 3x - 1.
<h3>What are Polynomials?</h3>
Polynomials are algebraic expressions having variables and constants, and may include exponents.
AB + C would be expressed as:
(x + 1)(x² + 2x - 1) + 2x
Expand
x(x² + 2x - 1) +1(x² + 2x - 1) + 2x
x³ + 2x² - x + x² + 2x - 1 + 2x
x³ + 3x² + 3x - 1 (simplest form)
Learn more about polynomials on:
brainly.com/question/2833285
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Answer: 225 adult tickets, 375 student tickets
Step-by-step explanation:
a = adult tickets
s = student tickets
a + s = 600 (the adult and student ticket added together should equal 600)
6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)
a = -s + 600 (get one of the variable by itself by subtracting it from one side)
6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)
-6s + 3600 + 4.5s = 3,037.5 (combine like terms)
-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)
-1.5s = - 562.5 (divide -1.5 from each side)
s = 375
600 = 375 + a (substitute s for 375)
a = 225