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zlopas [31]
2 years ago
7

Solve the system of equations - 6x + 5y = 0 and -5x + 5y = -5 by combining

Mathematics
1 answer:
Anna [14]2 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (-5, -6)

Step-by-step explanation:

The coefficients of y are the same, so we can eliminate y by subtracting one equation from the other. Here, we choose to subtract the first from the second, so that the coefficient of x ends up positive.

  (-5x +5y) -(-6x +5y) = (-5) -(0)

  x = -5 . . . . . . simplify

  -6(-5) +5y = 0 . . . . . . substitute x into the first equation

  6 +y = 0 . . . . . . . . . .  divide by 5

  y = -6 . . . . . . subtract 6

The solution to the system of equations is (x, y) = (-5, -6).

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50 POINTS! Name a pair of whole numbers that have a geometric mean of 4.
scZoUnD [109]

Answer:

0, 16

1, 15

2, 14

3, 13

4, 12

5, 11

6, 10

7, 9

8, 8

Step-by-step explanation:

Any two numbers that have the product of positive 16 have a geometric mean of 4.

4 0
3 years ago
A number cube is rolled 150 times. The number 3 comes up 43 times. What is the experimental probability of rolling 3? What is th
Vadim26 [7]
The experimental probability is computed to be 43/150 or approximately 28.67%. This is computed by dividing the event of number 3 showing by the total number of times the cube is rolled.
The theoretical probability is computed to be 1/6 or approximately 16.67%. Since there is only one side with the number 3, and there is a total of six sides in a cube. Theoretical probability assumes that the number cube is fair and all sides have equal chances of showing up.
4 0
3 years ago
A new vehicle is worth $2500. If it depreciates records in value 12% per year, after 6 years what will it be worth
Margaret [11]

Answer:

Step-by-step explanation:

2500 - 12%

12% of 2500 = 300

2500 - 300 = 2200

12% of 2200 = 264

2200-264=1936

Repeat another 4 times

8 0
3 years ago
A local salesman receives a base salary of $975 monthly. He also receives a commission of 7% on all sales over $1250. How much w
slava [35]

Answer:

  $17,321.43

Step-by-step explanation:

The amount of monthly income from commissions would have to be ...

  $2100 -975 = $1125

This is 7% of sales over $1250, so the sales (s) would need to be ...

  1125 = 0.07(s -1250)

  1125 = .07s -87.50 . . eliminate parentheses

  1212.50 = 0.07s . . . . add 87.50

  17,321.43 = s . . . . . . . divide by 0.07

He would have to sell $17,321.43 in a month if he needed an income of $2100.

8 0
3 years ago
I need help with this problemmmm.
AlladinOne [14]

Answer:

x = 1 1/6, x = 1.16

There you go! :D

3 0
3 years ago
Read 2 more answers
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