Correct answer is E.

$y= \frac{ax+b}{x+c}
\\
\\ \lim_{x \to \infty} \frac{ax+b}{x+c}=2
\\
\\ \lim_{x \to \infty} \frac{ \frac{ax}{x} + \frac{b}{x} }{ \frac{x}{x} + \frac{c}{x} }=2
\\
\\ \lim_{x \to \infty} \frac{a + \frac{b}{x} }{ 1 + \frac{c}{x} }=2
\\ \frac{a + 0}{ 1 + 0 }=2
\\
\\ \frac{a}{1} =2
\\a=2
\\
\\x+c=0
\\-3+c=0
\\c=3
\\
\\a+c=2+3=5


$

3 0

3 years ago

Suppose <br> f(x)=−2x^2+x−2<br> . Compute the following:

Delvig [45]

Answer:

A) – 15

B) – 9

Step-by-step explanation:

f(x)=-2x²+x-2

f(-2)= – 2(-2)²+(-2) – 2 = –2(4) –2–2=–8–4=–12

f(1)= – 2(1)²+(1)-2=–2+1–2= – 3

A) f(-2) +f(1)= – 12 + (–3) = – 15

B) f(-2) - f(1)= – 12 - (–3) = – 12 +3= – 9

I hope I helped you^_^

4 0

3 years ago

Read 2 more answers

Radioactive technetium-99m is often used in diagnostic medicine because it has relatively short half-life but lasts long enough

elixir [45]

Answer:

0.08 ml

Step-by-step explanation:

Given that

The half life is 6 hours

The injection is 2.5 ml

And, it remains in the body till 30 hours

We need to find out that how much of the radioactive material remains in the body

So,

= 2.5 × (1 ÷ 2) ^(30 ÷ 6)

= 2.5 × (1 ÷ 2) ^5

= 0.0781

= 0.08 ml

6 0

3 years ago