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levacccp [35]
3 years ago
12

Find the quotient: 15x^4y^2 - 25x^2y^3 + 45xy / 5xy:

Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

  3x^3y − 5xy^2 + 9

Step-by-step explanation:

When there is only one denominator term, the quotient can be found by dividing the numerator terms individually.

\dfrac{15x^4y^2 - 25x^2y^3 + 45xy}{5xy}=\dfrac{15x^4y^2}{5xy}-\dfrac{25x^2y^3}{5xy}+\dfrac{45xy}{5xy}=3x^3y-5xy^2+9

_____

There are a couple of things to keep in mind here:

  • an exponent tells the number of times the factor is repeated
  • equal numbers of identical factors cancel from numerator and denominator, for example x^3/x = (x·x·x)/x = x·x = x^2. (One factor of x cancels.)
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A radio disc jockey has 7 songs on this upcoming hour's playlist: 2 are rock songs, 2 are reggae songs, and 3 are country songs.
Eddi Din [679]
Probability first song is country is 3/7
probability second song is reggae is 2/6 which reduces to 1/3
probability of both is : 3/7 * 1/3 = 3/21 which reduces to 1/7 <==
7 0
3 years ago
How does the graph of g(x)=1/x-5. +2 compare to the graph of the parent function f(x)=1/x
malfutka [58]

Answer:

x value of vertical asymptote and y value of horizontal asymptote

Step-by-step explanation:

The graph of 1/x approaches infinity as x approaches 0 (the vertical asymptote)

As x gets either bigger or smaller, 1/x approaches the x-axis (from above on the positive side, from below on the negative side) (the horizontal asymptote)

Consider 1/(x-5) + 2, at what value of x does the graph 'go nuts' ?

When the bottom of the fraction becomes 0, x - 5 becomes 0 when x = 5, so the vertical asymptote of g(x) is at x=5

What value of y does f(x) approach as x gets more positive or more negative - as x gets bigger (as an example), y approaches 0

What y value does g(x) approach as x gets bigger?  Well, as x gets big, 1/(x-5) gets small, approaching 0.  The smallest 0 + 2 can get is 2, so y=2 is the horizontal asymptote

8 0
2 years ago
One of the goats on Diane's farm is sick and has a high fever. Over the course of 4 hours, its
Effectus [21]

Answer:

-2.8 / 4

Step-by-step explanation:

4 0
1 year ago
Find the measure indicated
lesantik [10]

Answer:

B) 69°

Step-by-step explanation:

The missing measure is supplementary angle of 111° which means their sum is equal to 180°

180 - 111 = 69.

4 0
2 years ago
Which of the following points lies on the line perpendicular to
sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

--------------

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

6 0
3 years ago
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