1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2
x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2
when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
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2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
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3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent
The correct algebraic expression is X ÷ 5 - 17 = 41
<h3>What is an algebraic expression?</h3>
An algebraic expression is a term that refers to a way of representing mathematical operations in which letters and numbers are combined, related to signs of the operations such as:
- Addition (+)
- Subtraction (-)
- Multiplication (×)
- Division (÷)
- Empowerment (
)
According to the above, we can infer that the correct algebraic expression would be:
In this algebraic expression the letter X represents a number that we do not know and we must find.
Learn more about algebraics in: brainly.com/question/953809
Answer:

Step-by-step explanation:
Let
x -----> the number of hours
y ----> the total cost to rent a bike in dollars
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope or the unit rate of the linear equation
b is the y-intercept or the initial value
In this problem we have
The unit rate or slope is equal to

The y-intercept (value of y when the value of x is equal to zero) is equal to
----> (fee charge)
substitute the values

Answer: mean- 38
median- 37
mode- no mode
range- 30
Step-by-step explanation: