Which equation is equivalent to 16^2p = 32^p+3?
1 answer:
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Answer:
The equation of the line is
Step-by-step explanation:
Equation of a line:
The equation of line, in point-slope form, is given by:
In which m is the slope and the point is
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Through (9,-7)
This means that
So
Perpendicular to y = 3x + 4
This line has slope 3, so:
Thus
Answer:
- See below
Step-by-step explanation:
<u>Given equation:</u>
- 2x + 3y = 1470
<u>Change to slope-intercept form:</u>
- 2x + 3y = 1470, isolate y
- 3y = -2x + 1470, divide all terms by 3
- y = -2/3x + 490
The slope is -2/3 and y-intercept is 490
<u>Functional notation, change y to f(x)</u>
- f(x) = -2/3x + 490
To graph the line, plot the intercepts and connect with the line.
<u>If the total is $1593 for the next month, the function would be:</u>
- 2x + 3y = 1593
<u>Changing to slope-intercept:</u>
- y = -2/3x + 531
The slopes are same, therefore the lines are parallel.
The difference is the y-intercept, it is greater in the next month.
The graphs are attached, with intercepts shown.
