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
MaRussiya [10]
3 years ago
8

Which of the following are roots of the following polynomial x^3-11x^2+33x+45

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0
For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get 

      x^2-12x+45
       ___ ________________________
x+1 | x^3-11x^2+33x+45

      - (x^3+x^2)
       _________________________
            -12x^2+33x+45
          - (-12x^2-12x)
          ______________
            45x+45
         -(45x+45)
___________
0


Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer
You might be interested in
The perimeter of a rectangular painting is 362 CM if the length of the painting is 97 centimeters what is its width
pochemuha

Answer:

84

Step-by-step explanation:

97+97=194 because a rectangle has 2 long sides.

362-194=168

168/2=84

Width=84 cm

4 0
3 years ago
What is an equation in pointelope form for the line that passes through the points (4. – 1) and (-3,0)
bulgar [2K]

Answer:

1/3

Step-by-step explanation:

2nd one

5 0
2 years ago
Help ASAP Please........
NeX [460]

Question 1 is A DEBIT CARD

Question 2 is A CHECKING ACCOUNT

8 0
3 years ago
Read 2 more answers
Margie babysits for two families. Mr. and Mrs. Smith pay her $6.50 an hour to babysit their son, Shea. Mr. and Mrs. Jones pay Ma
rodikova [14]

Answer:

A) \$ 6.5\timesx is the expression to represent total amount of money she earns babysitting for Smith family.

B) \$45.5 she will earn for Smith family for 7 hours

C) It would take 12 \ hrs for Margie to make \$78 when babysitting for the Smith family

Step-by-step explanation:

Given.

Mr. and Mrs. Smith pay Margie \$6.50 an hour to babysit their son, Shea.

Mr. and Mrs. Jones pay Margie $8 an hour to babysit their children, Sarah, Susan, and Dawn.

Let x be number of hours.

Solving for Part A.

Amount of Money earn from Smith family = Pay per hour \times Number of hours =\$ 6.5 \times x= \$ 6.5x

Solving for Part B.

x=7

Margie earns from smith family for 7 hours = \$ 6.5x=\$6.5\times7=\$45.5

Solving for part C.

Margie earned = \$ 78

To find number of hours

No of hour Margie has done babysitting for Smith family x=\frac{\$78}{\$6.5}=12 \ hrs

6 0
3 years ago
The length of a rectangle is two less than four times the width. If the perimeter is 26 cm, find the dimensions of the rectangle
gulaghasi [49]

Answer:

w = 3

l = 10

Step-by-step explanation:

l = 4w-2

P = 26cm

P = (l + w) × 2

26 = (4w-2+w) ×2

26 = (4w + w - 2) × 2

26 = ( 5w - 2 ) × 2

26 ÷ 2 = 5w -2

13 = 5w - 2

13 + 2 = 5w

15 = 5w

w = 3

l = 4w - 2

l = (4 × 3) -2

l = 12 - 2

l = 10

7 0
3 years ago
Other questions:
  • from a rope that is 11.5 meters long, two pieces are cut from it that are 1 3\5 and 3 3/10 meters long. what is the length of th
    6·1 answer
  • What is the ratio wheels to seats in a group of tricycles
    9·1 answer
  • Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents
    7·1 answer
  • A recipe calls for 2/3 cup sugar to make 4/5 gallon of iced tea. How much sugar is needed to make 1 gallon of iced tea?
    14·1 answer
  • What is 688.26 rounded to the nearest tenth?
    8·1 answer
  • A class trip is going on a trip to a museum. It costs $820 to rent a bus. Each ticket to the museum costs $11. Evaluate the cost
    12·2 answers
  • ANOTHER Brain test! Answer the question below! (I haven't been keeping track of how many i've done T^T)
    9·1 answer
  • Help please I don’t know what to do
    11·2 answers
  • -0.25 (12y + 4) which expression is equivalent to this expression?
    6·1 answer
  • a marching band has 3 times as many trumpet players as tuba players how many trumpets players t, are there write and solve equat
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!