Answer: 3 1/2 minutes
Step-by-step explanation:
A copy machine makes 24 copies per minute.
How long does it take to make 84 copies?
It takes 3 1/2 minutes to make 84 copies.
Answer:
Number 1 = 3, Number 2 = 1
Step-by-step explanation:
Create an each for the two number and make the sum of those two numbers equal to 4.
Number 1 we will make x
Number 2 will then be 2x - 5 (five less than two times the first number)
Equation is the sum of the two number and equal to 4
x + 2x - 5 = 4
3x - 5 = 4
Add 5 to both sides
3x = 9
Divide both sides by 3
x = 3
Test your answer.
Number 1 would be equal to 3
Number 2 would be 2(3) - 5 which is 1
Sum of the two numbers 3 + 1 = 4
3.375 more gallons would be needed.
Answer:
two points in the xy plane have cartesian coordinate (2,-4)and (-3,3) where the units are in m determine.
a)the distance between these point and
b) their polar coordinates
Answer:
y = 1 + 1/((x -1)(x -4))
Step-by-step explanation:
To get vertical asymptotes at 1 and 4, you need factors (x -1) and (x -4) in the denominator. As x approaches 1 or 4, one of these will approach zero, and the function value will approach infinity.
To get a horizontal asymptote of 1, the function must approach the value 1 when the value of x gets large (positive or negative). This can generally be accomplished by simply adding 1 to a fraction that approaches zero when x is large.
Here, we make the fraction be the one that gives the vertical asymptotes, and we simply add 1 to it.
... y = 1 + 1/((x -1)(x -4))
If you like, this can be "simplified" to ...
... y = (x² -5x +5)/(x² -5x +4)
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In this rational expression form, please note that the numerator and denominator have the same degree. That will be the case when there is a horizontal asymptote. (When a slant asymptote, the numerator degree is 1 higher than the denominator.) The ratio of the coefficients of the highest degree terms is the horizontal asymptote value (or the slope of a slant asymptote).