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VMariaS [17]
4 years ago
11

There are 14 girls and 2 boys taking karate lessons. Write the ratio that compares the number of girls taking karate lessons to

the total number of students taking karate lessons
Mathematics
1 answer:
Delvig [45]4 years ago
8 0

Answer:

The correct answer is 7 : 8.

Step-by-step explanation:

There are 14 girls and 2 boys taking karate lessons.

Total number of students taking the karate class is 16.

The ratio that compares the number of girls taking karate lessons to the total number of students taking karate lessons is given by 14 : 16 = 7 : 8.

This can be interpreted as for every 8 students in the karate lesson, 7 of them are girls.

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Can you help me please
kicyunya [14]

9514 1404 393

Answer:

  • domain: x ∉ {-4, 3}
  • range: y ∉ {1}
  • horizontal asymptote: y=1
  • vertical asymptote: x=3

Step-by-step explanation:

The expression reduces to ...

  \dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.

  • the domain is all real numbers except -4 and +3

The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.

  • the range is all real numbers except 1

As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*

  (x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1

There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.

  • vertical asymptote at x=3; horizontal asymptote at y=1

_____

* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)

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(-1)^4 <br>The answer is 1 but why?​
Kipish [7]
(-1)^4 is = (-1)(-1)(-1)(-1)= 1
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