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Yuliya22 [10]
2 years ago
14

Tickets for a school play cost $7 and $10 for the adults. The equation 7x+10y=80 represents the number of students(x) and the nu

mber of adults(y) who can attend the play for $80. If no students attend, how many adults can see the play for $80?
Mathematics
1 answer:
puteri [66]2 years ago
5 0
There could only be 8 because 10 *8 is 80 and that is your maximum number you can have 
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Part 3 - Discussion/Explanation Question
SpyIntel [72]

Step-by-step explanation:

Vertical asymptote can be Identites if there is a factor only in the denominator. This means that the function will be infinitely discounted at that point.

For example,

\frac{1}{x - 5}

Set the expression in the denominator equal to 0, because you can't divide by 0.

x - 5 = 0

x = 5

So the vertical asymptote is x=5.

Disclaimer if you see something like this

\frac{(x - 5)(x + 3)}{(x - 5)}

x=5 won't be a vertical asymptote, it will be a hole because it in the numerator and denominator.

Horizontal:

If we have a function like this

\frac{1}{x}

We can determine what happens to the y values as x gets bigger, as x gets bigger, we will get smaller answers for y values. The y values will get closer to 0 but never reach it.

Remember a constant can be represent by

a \times  {x}^{0}

For example,

1 = 1 \times  {x}^{0}

2 =  2 \times {x}^{0}

And so on,

and

x =  {x}^{1}

So our equation is basically

\frac{1 \times  {x}^{0} }{ {x}^{1} }

Look at the degrees, since the numerator has a smaller degree than the denominator, the denominator will grow larger than the numerator as x gets larger, so since the larger number is the denominator, our y values will approach 0.

So anytime, the degree of the numerator < denominator, the horizontal asymptote is x=0.

Consider the function

\frac{3 {x}^{2} }{ {x}^{2}  + 1}

As x get larger, the only thing that will matter will be the leading coefficient of the leading degree term. So as x approach infinity and negative infinity, the horizontal asymptote will the numerator of the leading coefficient/ the leading coefficient of the denominator

So in this case,

x =  \frac{3}{1}

Finally, if the numerator has a greater degree than denominator, the value of horizontal asymptote will be larger and larger such there would be no horizontal asymptote instead of a oblique asymptote.

8 0
2 years ago
How do you find the ratio of 40:28
ratelena [41]
First reduce it.
10:7 In a sense that is about as far down as you can go
You could however make it 1 3/7 to 1
6 0
3 years ago
Give the center and radius of the circle. (x - 5)2 + y2 = 16
olasank [31]

Answer:

Centre: (5,0)

Radius: 4

Step-by-step explanation:

r² = 16

r = 4

7 0
3 years ago
The mean of five numbers is 8. when another number is added the mean is 7. find the number added
sasho [114]

Answer:

\large \boxed{\sf \ \ 2  \ \ }

Step-by-step explanation:

Hello,

<u>The mean of five numbers is 8</u> so we can write

\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8

<u>When another number is added the mean is 7</u>, let s note x the another number we can write

\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7

From the first equation we can say

x_1+x_2+x_3+x_4+x_5=8*5=40

So the second equation becomes

\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\ \dfrac{40+x}{6}=7\\\\40 + x = 6*7=42\\\\ x = 42-40 = 2\\

The solution is then 2

Hope this helps

4 0
3 years ago
Which angles are supplementary to each other?
user100 [1]

Answer:

Angles 2 and 3 are supplementary to each other

Step-by-step explanation:

A supplementary angle is 2 angles that when you add the sum is 180.

4 0
3 years ago
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