John and Anna both work at the movie theatre. John makes $45 for 3 hours of work and Anna makes $90 for 6 hours of work. Do John
1 answer:
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Answer:
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given that the profit y (in dollars) for a business from selling x coats is represented by the equation
comparing with the slope-intercept form of the line equation
m = 56
<u>Determining the y-intercept</u>
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
substitute x = 0 in the equation
y = 56(0)
y = 0
Thus, the y-intercept b = 1
Thus,
The equation y = 5x has:
- The slope m = 56
- The y-intercept b = 1
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
Answer:
x = ±2
Step-by-step explanation:
A equation is given to us , which is ,
From <u>properties </u><u>of </u><u>logarithm </u>we know that ,
Applying this to LHS , we have ;
Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;
Put square root on both sides,
Simplify ,
This is the required answer.