A system of equations is shown:
2x = -y + 6
--4x + 3y = 8
What is the solution to this system of equations?
0 (-1,-4)
O (1.4)
(4, 1)
(-4,-1)
Answers
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Given two equations are :
2x = - y + 6.-4 x + 3y = 8 .We may write them as ,
2x + y - 6 = 0 .................(i) 4x - 3y + 8 = 0 ...............(ii)Multiplying equⁿ (i) by 2 :
⇒ 2(2x + y - 6 ) = 0.
⇒ 4x + 2y - 12 = 0 .....................(iii) .
Subtract equⁿ (ii) from equⁿ (iii) :-
⇒ 4x + 2y - 12 = 0
ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]
__________________
⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ
⇒ 5y = 20.
⇒ y = 20/5.
⇒ y = 4
Put this value in (i) to obtain x .
⇒ 2x + y - 6 = 0.
⇒ 2x +4 - 6 = 0.
⇒ 2x - 2 = 0.
⇒2x = 2 .
⇒ x = 2/2.
⇒ x = 1 .
Hence the value of x is 1 & y is 4.
[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]
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Answer:
Step-by-step explanation:
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Answer:
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Answer:
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Answers
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Answer:
It would be C
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d. Add 9 + 18
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Answers
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
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= 4396.48317752 x 10-16
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That is occurred on 12th toss.
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HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
Answers
-71 - 2y = 56
We add the 71 on both sides.
-2y = 126
Divide by -2 on both sides.
y = -63
There is no distinguishable slope in this because y equals an integer, not an expression that includes x or m, so the slope is zero.
Hope this helps! (: