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Sunny_sXe [5.5K]
3 years ago
7

Someone please help me with number 10 and 16 I’m lost I tried to figure it out on my own but couldn’t

Mathematics
1 answer:
Lelu [443]3 years ago
5 0

Answer:

10. \frac{g}{3}  - 7 = 15

g - 7 = 15 \times 3

g - 7 =4 5

g = 45  +  7

g = 52

16. - 3 +  \frac{p}{7}  =  - 5

- 3  + p =  - 5 \times 7

- 3 + p =  - 35

p =  - 35 + 3

p =  - 32

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Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9
lorasvet [3.4K]

Using the asymptote concept, we have that:

  • The vertical asymptote is x = 9.
  • The horizontal asymptote is y = 3.
  • The end behavior is that as x \rightarrow \infty, y \rightarrow 3.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{3x}{x - 9}

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3

Hence, the end behavior is that as x \rightarrow \infty, y \rightarrow 3.

More can be learned about asymptotes at brainly.com/question/16948935

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8 0
2 years ago
X - 2/5 = 1/3 <br> what is x?<br> thanks x
Bogdan [553]

Isolate x. First, add 2/5 to both sides

x - 2/5 (+2/5) = 1/3 (+2/5)

x = 1/3 + 2/5

to simplify, find common denominators (15 in this case). Multiply the same number to both the denominator and numerator

(1/3)(5/5) = 5/15

(2/5)(3/3) = 6/15

x = 5/15 + 6/15

Simplify

x = 11/15

11/15 is your answer for x

hope this helps

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See the attached picture for the solution:

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Answer:

a=-5

Step-by-step explanation:

When you do this every time the slope will go down 2 and over 1 which is rise over run or slope. You can see the y coordinates go down 4 points and every time is should go down 2 so you will know that it would have gone down 2 times so a+2 should equal -3 so if we subtract 2 from both sides we would get a=-5 and that is our answer.

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Answer:

The answer is 3+(-6) = -9, because -9 is 6 units to the left of 3.

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