1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vinil7 [7]
3 years ago
5

The graph represents the function (check picture)

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

a = 1 and b = -12

Step-by-step explanation:

* Lets look to the graph to solve the problem

- f(x) is a rational function with:

# numerator ⇒ x² - 4x + 3

# denominator ⇒ x² + ax + b

- To find the values of a and b lets use the hole and the vertical

  asymptote in the graph of the function

∵ There is a hole at x = 3

- The hole appears when the numerator and the denominator have

 a common factor

∵ x = 3 ⇒ subtract 3 from both sides

∴ x - 3 = 0

∴ The numerator and the denominator have a factor (x - 3)

- The vertical asymptotes appear at the zeros of the denominator

  that means the values of x when the denominator = 0

∵ There is a vertical asymptote at x = -4

∵ x = -4 ⇒ add 4 for both sides

∴ x + 4 = 0

∴ The denominator has another factor (x + 4)

- The denominator x² + ax + b has two factors (x - 3) and (x + 4) lets

  multiply them to find the value of a and b

∵ (x - 3)(x + 4) = (x)(x) + (x)(4) + (-3)(x) +(-3)(4)

∴ (x - 3)(x + 4) = x² + 4x - 3x - 12 = x² + x - 12

∴ x² + ax + b = x² + x - 12

- By comparing the two sides

∴ a = 1 and b = -12

You might be interested in
A researcher posts a newspaper advertisement offering 520 in exchange for participation in a short study. The researcher accepts
iVinArrow [24]

Answer:

It's a valid sample because the first five people were selected to participate.

Step-by-step explanation:

True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.

5 0
3 years ago
If h(x) = 4x – 3 and p(x) = x2 – 3x, find p(-3)<br><br> 18<br> 0<br> -3
navik [9.2K]

Answer: p(-3)=18

Step-by-step explanation:

To find p(-3), you plug -3 into p(x) and solve.

p(-3)=(-3)²-3(-3)               [exponent]

p(-3)=9-3(-3)                    [multiply]

p(-3)=9+9                         [add]

p(-3)=18

Now we found that p(-3)=18.

7 0
3 years ago
A rectangle is 3 feet long by 4 feet wide
egoroff_w [7]

Answer:

20ft^2

Step-by-step explanation:

The length is currently three feet, if you add two feet to three that makes five feet. Five times four is twenty.

I hope this helps!

7 0
2 years ago
Read 2 more answers
Factor the GCF:
JulsSmile [24]

i think A is the answer

7 0
3 years ago
There are 5 times as many males as females on the maths course at university. What fraction of the course are female?
Valentin [98]

Answer:

1/5 are females i think

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Need help ASAP please and thank you
    8·1 answer
  • Flip a coin 100 times. We want the chance of getting exactly 50 heads. What is the exact probability, correct to six decimal pla
    10·1 answer
  • A psychology student wishes to investigate differences in political opinions between business majors and political science major
    6·1 answer
  • will is helping his mom get ready for a party his mom wants will to put flowers in jars to put on the tables he needs to put sev
    10·1 answer
  • Kerry and three friends went out for dinner. They split a large pizza and each person had a salad and a soda. They want to leave
    11·1 answer
  • A cylindrical stool has a base of diameter 70cm and height 25cm.find the cost of painting 50 such atools.,if the cost per m2 is
    7·1 answer
  • Help NOW
    6·1 answer
  • Ted can change an advertisement on a billboard in 5hr. Marie can do the same job in 2hr. How long would it take them if they wor
    6·1 answer
  • Plsss help meeeeeeeeee
    5·1 answer
  • Which algebraic expression is equivalent to this expression.3(2x-8)-11xA. -5x-24B. -17X -24C. -5X -8Please help I will mark you
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!