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Leto [7]
3 years ago
15

Solve the following simultaneous equations using an algebraic (not graphical) method.

Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

x=4

y= -1

Step-by-step explanation:

(3x-2y=14)×3

(7x+3y=25)×2

9x-6y= 42

14x + 6y =50

9x-42=6y

-14x+50=6y

9x-42= -14x+50

23x = 92

x=4

3(4)-2y=14

12-2y =14

-2y=2

y= -1

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NeX [460]

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

3 0
3 years ago
Which whole numbers fall betweeen .53 and 2.5
Aloiza [94]

Whole numbers are 0,1,2,3 etc. so it would be 1 and 2

6 0
3 years ago
Jill has not been able to maintain the $1,000 minimum balance required to avoid fees on her checking account. She wants to switc
valkas [14]

Step-by-step explanation:

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mean= 80/4

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B.  Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account.

the expression for the total is given as

y=12.50+0.2x

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June= 12.50+0.2(19)

June=12.5+3.8= 16.3

July= 12.50+0.2(23)

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August= 12.50+0.2(24)

August=12.5+4.8= 17.3

total will be = 15.3+16.3+17.1+17.3= $66

8 0
3 years ago
Find the volume of the pyramid below.<br> 7.2 in<br> 9.7 in
kumpel [21]

Answer:

23.28 inches (im not sure if this is correct because you need length, height, and width.)

Step-by-step explanation:

<u>lwh</u>

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3 years ago
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gogolik [260]

Answer:

19

Step-by-step explanation:

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