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anyanavicka [17]

2 years ago

13

Which of the following are vertical asymptotes of the function y=2cot3[x]+4 check all that apply

2 answers:

wel2 years ago

8 0

This is your perfect answer

yulyashka [42]2 years ago

3 0

Answer:

According to a p e x the answers are x= pi, x=2pi, and x=+- pi/2

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Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

Viefleur [7K]

QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

$g(x)=5x+11$ ,

and

$h(x)=-3x^2+1$

Then;

$f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)$

$f(x)-g(x)+h(x)=2x^2+3x-9-5x-11-3x^2+1$

Group similar terms;

$f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1$

Simplify;

$f(x)-g(x)+h(x)=-x^2-2x-19$

QUESTION 2

Given that;

$f(x)=4x-7$ .

$g(x)=(x+1)^2$

and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

$s(3)=4(3)-7+(3+1)^2$

$s(3)=12-7+(4)^2$

$s(3)=5+16$

$s(3)=21$

QUESTION 3

Given:

$f(x)=3x+2$

$g(x)=x^2-5x-1$

$f(g(x))=f(x^2-5x-1)$

This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

$f(g(x))=3x^2-15x-3+2$

$f(g(x))=3x^2-15x-1$

QUESTION 4

The given function is;

$f(x)=3(x-6)^2+1$

Let

$y=3(x-6)^2+1$

$\Rightarrow y-1=3(x-6)^2$

$\Rightarrow \frac{y-1}{3}=(x-6)^2$

$\Rightarrow \sqrt{\frac{y-1}{3}}=x-6$

$\Rightarrow x=6+\sqrt{\frac{y-1}{3}}$

The range is:

$\frac{y-1}{3}\ge0$

$y-1\ge0$

$y\ge1$

The interval notation is;

$[1,+\infty)$

6 0

3 years ago

Evaluate 3x^3 - 5y^2 x=5 y=2

Sliva [168]

Answer:

355

Step-by-step explanation:

3 $x^{3}$ -5 $y^{2}$ =3*5³-5*2²

3*5³-5*2²=3*125-5*4

3*125-5*4=375-20

375-20=355

6 0

3 years ago

Q. A pharmacist mixes 3 grams of compound with 5,000 milligrams of solution to create a prescription. How many total grams is th

Liula [17]

Answer: 8 grams

Step-by-step explanation:

We have two units of mass: grams and milligrams

The prescription has 3 grams of compound with 5,000 milligrams of solution.

To know how many grams in total there are in the mixture we must convert

5000 milligrams to grams.

By definition in 1 gram there are 1000 mg.

Then we perform the following operation

$5000\ mg * \frac{1\ grams}{1000\ mg}=5\ grams$

Then the total amount of grams in the prescription is:

$5+ 3=8\ grams$

7 0

3 years ago

Which of the following lists is in order from smallest to largest?

antoniya [11.8K]

Let's find for the smallest to largest lists which is in order according to the given choices. When you say smallest to largest, meaning the value of decimal starts from the smallest value to the biggest Value.
=> <span>0.05, 0.2, 0.48, 0.6 is the answer,</span>

6 0

3 years ago

Read 2 more answers

Simplify -8(4-3x)-17x

Luda [366]

1. distribute the -8 into the parentheses and you get -32+24x-17x
2. combine like terms and get -32+7x
3. if you need to make it simpler set the equation = to zero -32+7x=0 and then add the 32 on both sides
4. 7x=32 and then divide by 7 and you get 32/7 or approximately 4.571

I hope this helped!! :)

4 0

3 years ago

Read 2 more answers