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kompoz [17]
2 years ago
13

Solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6

Mathematics
1 answer:
jek_recluse [69]2 years ago
6 0

Answer:

y = 3

x = 2

Step-by-step explanation:

-5x + 4y = 2

9x - 4y = 6

Sum both eq.

-5x + 9x = 4x

+4y - 4y = 0

2 + 6 = 8

then:

4x + 0 = 8

4x = 8

x = 8/4

x = 2

from the first eq.

-5x + 4y = 2

-5*2 + 4y = 2

-10 + 4y = 2

4y = 2 + 10

4y = 12

y = 12/4

y = 3

Check:

from the second eq.

9x - 4y = 6

9*2 - 4*3 = 6

18 - 12 = 6

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Answer:first 5 viricalls on the left

Step-by-step explanation:

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3 years ago
A box contains three cards. On one card there is a question mark ​(Upper Q​), on another card there is a pear ​(Upper P​), and o
vova2212 [387]

Complete question :

Determine the probability that two pears are selected The probability is(Simplity your answer.)

d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected

Answer:

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

Step-by-step explanation:

Given :

Marking on card :

Question mark = Q

Pear = P

Moon = M

Selecting two cards with replacement :

Sample space :

_____ Q ____ P _____ M

Q ___QQ ___QP ___ QM

P ___QP ____PP ___ MP

M__ QM ____PM ___MM

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

1/9 ;

2/9

P(selecting 2 pears) = (PP)

P(p) = required outcome / Total possible outcomes = 1 / 9

Card containing a pear and then a question mark ;

(PQ or QP).

P(p) = 1/3 ; P(Q) = 1/3

P(PQ) + P(QP)

(1/3 * 1/3) + (/3 * 1/3)

1/9 + 1/9

(1 + 1) / 9

= 2/9

6 0
3 years ago
22. “n is less than 15 and greater than or equal to 3”
drek231 [11]

Answer:

3 ≤ n < 15

  1. not n
  2. not n
  3. yes n
  4. yes n
  5. yes n
  6. yes n
  7. yes n
  8. yes n
  9. yes n
  10. yes n
  11. yes n
  12. yes n
  13. yes n
  14. yes n
  15. not n

 1-2. not n

3-4. yes n

5-6. yes n

 7-8. yes n

9-10. yes n

11-12. yes n

13-14. yes n

15-16. not n

Step-by-step explanation:

Everything on this side is less than, < but everything on this side is greater.

Everything on this side could be equal or less, ≤ but everything on this side is

not.

I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.

Intervals has each point represent more than one number making the line shorter.

6 0
4 years ago
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sladkih [1.3K]

Answer:

10

Step-by-step explanation:

you can find the diagonal of a rectangle if you have the width and the height

7 0
3 years ago
Using the unit circle find the exact value. CSC -30º =​
AlexFokin [52]

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = \frac{1}{sinx} and the exact value sin30° = \frac{1}{2}

sin(- 30)° = - sin30° = - \frac{1}{2}, thus

csc (- 30)° = \frac{1}{-\frac{1}{2} } = - 2

8 0
4 years ago
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