Answer:
(x,y,z) = (2,-2,1)
Step-by-step explanation:
Three equations with three variables are given. Take two equations at a time to eliminate one variable.
x + y - z = -1 .....(1)
4x -3y + 2z = 16 .....(2)
2x - 2y - 3z = 5 ......(3)
Solve (1) and (3) to eliminate z.
To do that multiply (1) by 2 and add (1) and (2). We get:
4x - 5z = 3 ......(4)
Now, solve (2) and (3) and subtract them. We get:
2x + 13z = 17 ......(5)
Solve (4) and (5). Multiply (5) by 2 and subtract. We get:
z = 1
Substituting z = 1, in (4) we get: x = 2.
Now to find y, substitute values of x and y in (1).
⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1
⇒ y = -2
∴ Values of (x, y, z) = (2, -2, 1).
Answer:
eleven and three hundredths.
Step-by-step explanation:
The square root of 36 is 6
The square root of 25 is 5
It is in between 5 and 6
It is a constant rate a positive rate
The slope is 3/2
They are both positive rates
When you go up by three you go left 2 and it stays a constant rate
The answer is: 3.
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In the table, the relation (x, y) is not a function is the "missing value" of "x" is: 3.
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Explanation: We are given that the ordered pair: "(3,10)" exists. In other words, when x = 3, y =10.
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The "missing value" refers to the "empty box" in the table shown (in the attached screenshot). The "empty box" shows a "y-coordinate" of "20"; but a "missing" corresponding "x-coordinate".
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The problem asks:
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In the table, the relation (x, y) is not a function is the "missing value" of "x" is: ____?
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The answer is: 3.
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We know the answer is "3"; because we know that "3" already has 1 (one) corresponding y-coordinate.
By definition, a "function" cannot have ANY "x-coordinates" that have more than one "corresponding y-coordinate". As such:
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In the table, the relation (x, y) is not a function is the "missing value" of "x" is:
____________
3.
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Additional information:
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When examining an equation on an actual graph, we can use what is called the "vertical line test". That is, one can take a pencil and vertically go through the "y-axis", or even examine it visually, to see if there are any "x-values" that have more than one corresponding "y-coordinate".
If no, then it "passes" the "vertical line test" and is a "function".
If not, then it does NOT pass the "vertical line test" and is NOT a function.
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