Which is an equation of the line that goes through the points ( 4, 1) and
1 answer:
Answer:
none of the above
Step-by-step explanation:
You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.
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You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given points, we get ...
y = (3 -1)/(2 -4)·(x -4) +1
y = 2/(-2)(x -4) +1 . . . . . simplify a bit
y = -x +4 +1 . . . . . . . . . simplify more
y = -x +5 . . . . . . . . . . . slope-intercept form
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I would most likely say 12.5 square units
Answer:
x = 14 days
Step-by-step explanation:
To answer the question, find a function that represents the payment mode of plan A and an equation that represents the mode of payment of plan B.
For Plan B the payment is constant every afternoon, $ 11.5 (or 1150 cents) so the equation to represent this form of payment is as follows:
A = 1150x (with units in cents)
This equation represents the line of a line of slope 1150, which passes through point (0,0). Where x is the number of days {1, 2, 3 ....}
In form of payment B, the amount of payment is doubled each day. And the first payment is 2 cents. Therefore this model is represented by an exponential base 2 equation of the form:
Where x represents the number of days, which is always greater than 0 {1, 2, 3, 4 ...}
To know in which day the salary will be approximately the same we equate both equations and we clear x.
A = B
It is a somewhat difficult equation to solve, so I recommend iterating to get a value where the function approaches 0 (when this difference is zero it means that the A and B salaries are the same).
Suppose
x = 13 days
cents
It is not equal to 0.
Let's try with x = 15
cents
Then the value that makes the function zero is between x = 13 and x = 15
Let's try with x = 14
cents = 2.84 $ difference. X = 14 is the whole number where functions A and B are closer together (the salary is approximately the same). Therefore the answer is
x = 14 days
Answer: The number of different passwords can be formed = 1,000,000
Step-by-step explanation:
In general total digits = 10 [ from 0 to 9]
If a password contains 6 digits, then by fundamental principal of counting, the total number of different passwords =
Hence, the number of different passwords can be formed = 1,000,000