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Mathematics

2 answers:

Alex3 years ago

7 0

B is the answer
I think

myrzilka [38]3 years ago

5 0

B it is B because the answer is B

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Please help! i have school in 5 minutes, 8th grade math, supplementary and complementary, thank you!

Olenka [21]

Answer:

66° and 10 (or 70 if you want the angle)

Step-by-step explanation:

since its a straight line then put it equal to 180

5. x+114=180

x=66

since its a right angle then put it equal to 90

7x+20=90

7x=70

x=10

but if you want the angle then just plug it in, 7(10)=70

6 0

3 years ago

Which statement describes the behavior of the function f (x) = StartFraction 3 x Over 4 minus x EndFraction?

katovenus [111]

$f(x)=\frac{3x}{4-x}$

First Method: Using Graph

Finding the limits as x approaches infinity and negative infinity is one way to solve this problem. As x reaches infinity, simply follow the graph line (colored purple) to the far right to find its limit. If we trace it, we can see that the Y value never exceeds -3 (orange), indicating that the limit is equal to -3 as x approaches infinity. You'd do the same with negative infinity, the limit is -3. We may now say the following:

$\lim_{x \to \infty} (\frac{3x}{4-x})=-3 \\ \lim_{x \to -\infty} (\frac{3x}{4-x})=-3$

And that's the answer to your question.

Second Method: Using Mathematics

I'm not sure if this solution is suitable for your stage, but you can solve this problem using L'Hopital's rule:

$\lim_{x \to \infty} (\frac{3x}{4-x}) =\frac{\infty}{-\infty}\\=^L \lim_{x \to \infty} (\frac{3}{-1}) = -3\\\\ \lim_{x \to- \infty} (\frac{3x}{4-x}) =\frac{-\infty}{\infty}\\=^L \lim_{x \to- \infty} (\frac{-3}{1}) = -3$