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3 years ago

At which values of x does the function F(x) have a vertical asymptote? Check

Mathematics

1 answer:

Soloha48 [4]3 years ago

3 0

Answer:

B, C and F

Step-by-step explanation:

Given

f(x) = $\frac{7}{2x(x+3)(x-9)}$

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve

2x(x + 3)(x - 9) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0 → C

x + 3 = 0 ⇒ x = - 3 → B

x - 9 = 0 ⇒ x = 9 → F

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Simplify the expression below. Then classify the resulting expression

evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

<u>Given expression:</u>

3x² + 6x + 5 - 3x (2 + x)

<u>Expand parenthesis by distributive property:</u>

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

<u>Put like terms together:</u>

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= $\boxed{5}$

<h2>PART II: Classify polynomial</h2>

<u>Concept:</u>

Polynomial is classified by the number of terms a polynomial has.

Monomial: a polynomial with only one term
Binomial: a polynomial with two terms
...

<u>Classify the given expression:</u>

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a <u>monomial</u>.

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

Read 2 more answers

PLZ HELP FAST the bank at which shareko deposits his money pays 5 1/4 % simple interest annually . How much interest will he ear

NemiM [27]

Answer:

Step-by-step explanation:

Simple interest rate applies only to the principal amount deposited and not the compounded amount. The formula for simple interest is expressed as

I = PRT/100

Where

I is the interest.

P is the principal or initial amount deposited.

R is the interest rate.

T is the duration in years.

From the information given,

P = $300.00

R = 5 1/4% = 5.25%

T = 6 months = 0.5 years

Therefore,

I = (300×5.25× 0.5)/100 =787.5/100

I = 7.875

The balance in the account at the end of this time will be

300 + 7.875 = $307.875

6 0

3 years ago

Sheila predicts that 480 people will attendthe fall concert. There was an actual total of 350 people who attended the fall conce

iris [78.8K]

Answer:

27 %

Step-by-step explanation:

Given that Sheila predicts that 480 people will attendthe fall concert and There was an actual total of 350 people who attended the fall concert.

We know that

Percent error = $\frac{people present-predicted people}{predicted people}\times100$

Percent error = $\frac{480-350}{480}\times100$

Percent error = 27 %

5 0

3 years ago

Simplify 45÷2×8-12+42<br> Please show working

Allushta [10]

Answer:

210

Step-by-step explanation:

Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

45 ÷ 2 = 22.5

22.5 × 8 = 180

180 - 12 = 168

168 + 42 = 210

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Have a great summer :)

6 0

3 years ago

Complete the proof using indirect reasoning.<br> Prove: If x > 3 then 2x + 3 > 9

weqwewe [10]

When x > 2, 2x + 3 > 7 and when x = 2, 2x + 3 = 7. ... problem, assume that Christina's average points per game was greater than or equal to 3. Use . Indirect Proof: ... x is an odd integer must be true. Write an indirect proof of each statement. 9.

4 0

3 years ago