Order of Operations: Missing Numbers, please help
1 answer:
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Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what is.
To find it, you would take the reciprocal of the x amount. So becomes
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase
to
, you would have to multiply a with
two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease
to
, you would have to divide
by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: means that you are dividing 1 by a 3 times.
Hope this helps.
For
y = (x^2 -4)/((x +2)(x^2 -49))
the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving
y = (x -2)/(x^2 -49)
There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.
The horizontal asymptote is y=0.
y = (x^2 -4)/((x +2)(x^2 -49))
the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving
y = (x -2)/(x^2 -49)
There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.
The horizontal asymptote is y=0.
Answer:
6
Step-by-step explanation:
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation .
If a line has the slope of -0.5, then m=-0.5 and the equation of the line is
This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:
and the equation of the line is
Since b=6, the y-intercept of the line is 6.
Answer: y=0,5x²-x-1,5.
Step-by-step explanation:
We summarize (1) and (3):
Substitute b=-1 into (2):
From (5) subtract (4):
Substitute a=0,5 into (4):
Hense:
y=0,5x²-x-1,5.