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lawyer [7]
3 years ago
6

Helppp plz don't know how to start this

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0
98+(3x-17)=180
81+3x=180
180-81=3x
3x=99
x=33
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lisov135 [29]

Answer:

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3 years ago
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

#SPJ1

8 0
1 year ago
Find the distance between the points (4,-2) and (0,10)
vagabundo [1.1K]

We can solve this problem by using the distance formula. The distance formula is: \sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}} We can now put in values and solve.

\sqrt{(4-0)^{2} + (-2-10)^{2}}  

\sqrt{16 + 144}

\sqrt{160} 

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3 years ago
How many ways can you arrange the letters in the word prime?
Jobisdone [24]
There are 5 letters in the word "prime"

Imagine we had 5 slots to fill. They are empty initially. 
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice

We have this countdown: 5,4,3,2,1

which multiplies out to 5*4*3*2*1 = 120

There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
7 0
3 years ago
I need this for today
stiks02 [169]

Answer: The Last option is the only option equivalent to that equation.

7 0
3 years ago
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