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aliina [53]
3 years ago
5

1. Consider the function f(x) = 5x^3 - 31x^2 - 129x + 27

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

1.- f(x) = 5x³ - 31x² - 129x + 27

a) f(9) = 5(9)³ - 31(9)² - 129(9) + 27

   f(9) = 5(729) - 31(81) - 1161 + 27

   f(9) = 3645 - 2511 - 1161 + 27

   f(9) = 0

b.- I will use synthetic division

                        5   - 31  -129  + 27       9

                               45   126  -27                            

                        5     14     -3       0

    Trinomial = 5x² + 14x - 3

Factor               5x² + 15x - 1x - 3

                        5x(x + 3) - 1(x + 3)

b)                           (x + 3)(5x - 1)

                       x₂ + 3 = 0          5x₃ - 1 = 0

                       x₂ = -3                 x₃ = 1/5

c) The roots are x₁ = 9, x₂ = -3 and x₃ = 1/5

2.-  f(x) = 3x² + 2x - 8      factor = 3x - 4

                                     x    + 2

                       3x - 4    3x² + 2x - 8

                                   -3x² + 4x

                                     0    +6x - 8

                                           -6x  + 8

                                                      0  Remainder

As the remainder was "0", 3x - 4 is a factor of 3x² + 2x - 8

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PLEASE HELP ME AND SHOW ALL WORK THANK YOU!!!!!!
Natalija [7]
M>5=m>4
m>5 and m>7 are on line then m>5+m>7=180
by substituting
m>4+37=180
m>4=143
m>2=m>7=37
m>4=m>8
m<3+m>5=180
7 0
3 years ago
The states C and D spend a total of ​$54.6 million for tourism. The state C spends ​$2 million more than the state D. Find the a
Roman55 [17]

State C spent $28.3 million and State D spent $26.3 million.

Step-by-step explanation:

Total spent for tourism = $54.6 million

Let,

The amount spent by State C = x

The amount spent by State D = y

According to given statement;

x+y = 54.6    Eqn 1

x=y+2    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\

Dividing both sides by 2

\frac{2y}{2}=\frac{52.6}{2}\\y=26.3

Putting y=26.3 in Eqn 2

x=26.3+2\\x=28.3\\

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/6459599
  • brainly.com/question/6649771

#LearnwithBrainly

5 0
3 years ago
X^2+19=10 solve algebraically<br> 4x^2+3=43 solve algebraically
raketka [301]
The correct answer is B
8 0
3 years ago
I’m stuck on g. and h.
natulia [17]

5000+0=5000 that is g

and then 0+100=100-20=80 that is h

7 0
3 years ago
Find the area of the figure below.<br> A. 288.62<br> B. 266.22<br> C. 186.66<br> D. 236.6
Setler79 [48]

Answer:

A

Step-by-step explanation:

hope this helps

7 0
3 years ago
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