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
navik [9.2K]
3 years ago
6

Which of the following represents the graph of y = x3 - 2x2 - 5x + 6?

Mathematics
1 answer:
Andrews [41]3 years ago
3 0
Hi there!
We are asked to find the graph that represents the cubic function y = x³ - 2x² - 5x + 6. To do this, we have to find the roots of the function, and we can do that by using the Rational Root Theorem, which is basically constant over the leading coefficient.
<u>+</u> 6 / <u>+</u> 1
Now, just list all the factors of 6 and replace that as the numerators.
Factors: 1, 2, 3, 6
<u>+</u>1, <u>+</u>2, <u>+</u>3, <u>+</u>6 / <u>+</u>1
Now, just simplify for each one. We get the possible roots: 1, -1, 2, -2, 3, -3, 6, -6. All we have to do now is plug each one back into the equation and see which ones turn out to evaluate the function to zero. After doing so, we get the roots 1, -2, and 3. Now, look for the graph that has x-intercepts of 1, -2, and 3, and the only graph that works is Graph B. Therefore, the graph that represents the function y = x³ - 2x² - 5x + 6 is Graph B. Hope this helps and have a marvelous day!
You might be interested in
Help please please please
VLD [36.1K]

Answer:

10%

Step-by-step explanation:

10/100 = 1/10 = .1 = 10%

5 0
3 years ago
Read 2 more answers
Please help me solve it
Katen [24]

Answer:

63/2

Step-by-step explanation:

Hope this helps ^-^

3 0
2 years ago
Given that
yulyashka [42]

Answer:

y = - 49

Step-by-step explanation:

Given

7x - 2y = 35 ← substitute x = - 9 into the equation

7(- 9) - 2y = 35, that is

- 63 - 2y = 35 ( add 63 to both sides )

- 2y = 98 ( divide both sides by - 2 )

y = - 49

5 0
3 years ago
Read 2 more answers
A cab company charges $1 per cab ride, plus an additional $3 per mile driven. Write an equation that shows the relationship betw
Ostrovityanka [42]

Answer:

1+ 3*x

Step-by-step explanation:

so one dollars plus 3 times x or how many miles they rode

6 0
3 years ago
Allison plays basketball and last season she made a total of 87 shots (two- or three-point shots). Her point total was 191 . How
aleksandr82 [10.1K]

Answer:

She made 17 three-point shots.

Step-by-step explanation:

Let t represent the number of three-point shots she made.

Since, she made a total of 87 shots (two- or three-point shots), the number of two-point shots will be 87-t.

The points from three-point shots:

→ 3t   (1)

The points from two-point shots:

→ 2(87-t)   (2)

Since, her total point was 191, the sum of equation 1 and equation 2 must be equal to 191.

→ 3t + 2(87-t) = 191

→ 3t + 174 - 2t = 191

→  t = 17

8 0
3 years ago
Other questions:
  • Giving away brainliest (assuming there is more than one person answering, of course)
    14·1 answer
  • Pleassseee helppppppppp
    12·2 answers
  • A rectangle has a length that is three feet more than twice it’s width. If the area of the rectangle is 90 square feet, then alg
    11·1 answer
  • Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inver
    14·2 answers
  • Find (f+g)(9) if f(x)=2x2-2x+25 and g(x)=6x2+7x-13
    6·1 answer
  • I really don't know how to do this-
    11·2 answers
  • HELP ME PLZ ILL MARK YOU BRAINLIEST!!! Find the answers to the following multiplication problems without using a calculator, Red
    9·1 answer
  • Helpppppppppppppppppppppppppppp
    8·2 answers
  • What is the arc length of a semicircle with a radius of 14?
    12·1 answer
  • Problem
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!