Determine which system below will produce infinitely many solutions.
−6x + 3y = 18
4x − 3y = 6
2x + 4y = 24
6x + 12y = 36
3x − y = 14
−9x + 3y = −42
5x + 2y = 13
−x + 4y = −6
Answers
-9x + 3y = -42...divide by -3
3x - y = 14...same as first equation....means same line...means infinite solutions
answer is : 3rd answer choice
Answer:
The answer is C
[tex]3x-y=14\\-9x+3y=-42[/tex]
Step-by-step explanation:
In order to determine the system, we have to know the condition to produce infinitely solutions. A solution of a system is the coordinate (x,y) which is common between two lines ( in a 2D plane). A system does not have solution when the lines do not intercept each other, that it means, they are parallele. When two lines are coincident in all points, there are infinitely solutions.
I have attached an image that shows different systems of two lines.
So, to find the system, we have to find two equal equation. If we multiply by 3 the third system:
[tex]3x-y=14\\-9x+3y=-42\\\\(-3)*(3x-y)=(-3)*14\\(1)*(-9x+3y)=(1)*-42\\\\-9x+3y=-42\\-9x+3y=-42[/tex]
This system has infinitely solutions.
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[tex]a_{1}=2 \\ a_{n+1}=-4a_{n}+2[/tex]
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a₂ = -4a₁ + 2
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Answers
Answer:
The value of the expression is 12.
Step-by-step explanation:
Given : Expression [tex]\frac{7}{9}z-18+\frac{1}{3}z[/tex] , where z=27
To find : The value of expression when z=27
Solution :
Given expression:
[tex]\frac{7}{9}z-18+\frac{1}{3}z[/tex]
Substitute value of z=27
[tex]=\frac{7}{9}(27)-18+\frac{1}{3}(27)[/tex]
[tex]=7\times 3-18+1\times 9[/tex]
[tex]=21-18+9[/tex]
[tex]=21-9[/tex]
[tex]=12[/tex]
Therefore, The value of the expression is 12.
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What is Fraction?A fraction represents a part of a whole.
Given that we need to cut a 9 foot piece of plywood into 12 inch sections and every cut also removes 1/8 inch.
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Answers
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Answer:
Step-by-step explanation:
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Answers
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Answers
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s^2 = sum [ value i - average]^2 for all the data i / (number of data)
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12 12 - 10.889 1.2346
13 13 - 10.889 4.4568
8 8 - 10.889 8.3467
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11 11 - 9.667 0.0123
------------
sum 26.8889
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Answers
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Answers
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answer
15.45
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Answers
multiply
34+30=
add
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B. X=32
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Answers
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b. How many did he miss?
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A simple way to solve this is to add a zero to the end of each number in the fraction since there is 40 questions so it goes from 3/4 correct to 30/40 correct.
Hope this helps!!
Chase answered 30 questions correctly and missed 10 questions.
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Number of questions answered correctly = (3/4) * 40 = 30
To find the number of questions Chase missed, subtract the number of questions he got right from the total number of questions:
Number of questions missed = 40 - 30 = 10
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Write in Expanded form
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What is Perfect squares?
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Answers
(16r)^(1/2)^6
relevant rule: (a^b)^c=a^(b*c), in this case
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Answer:
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Step-by-step explanation:
The trick is to look for squared value and then to take them outside the square root but not in squared form.