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rusak2 [61]
3 years ago
10

For the graph shown, select the statement that best represents the given system of equations. 3y – x = 2 9y – 3x = 6

Mathematics
1 answer:
poizon [28]3 years ago
5 0
You can find that out by first putting two equations in slope-intercept form y=mx+b by solving for y.
3y - x = 2
3y = x+2
y = (1/3)x + 2/3

9y = 3x + 6
y = (3/9)x + 6/9
y = (1/3)x + 2/3

They are the same line as you can see in the final step.
Since the two lines are the same line, (they "coincide") they are coincident.
Coincident means there are an infinite number of solutions, and since they are the same line, there are an infinite number of solutions.
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Which of the following is not a Pythagorean triple?
Ierofanga [76]

Answer:

  (7, 24, 26)

Step-by-step explanation:

A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.

_____

<em>Additional comment</em>

For an odd integer n, a triple can be formed as ...

  (n, (n²-1)/2, (n²+1)/2)

That is, the following will be Pythagorean triples.

  • (3, 4, 5)
  • (5, 12, 13)
  • (7, 24, 25)
  • (9, 40, 41)
  • (11, 60, 61)

Another series involves even numbers and numbers separated by 2:

  (2n, n²-1, n²+1)

  • (8, 15, 17)
  • (12, 35, 37)
  • (16, 63, 65)

In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.

It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.

8 0
2 years ago
Given the function, f(x)=10x-3, <br> what is the value of the function when x=-1/2
Mandarinka [93]
-8

f(-1/2)=10(-1/2)-3
f(-1/2)=(-5)-3
f(-1/2)=-8
6 0
2 years ago
Steve has 20 marbles in a bag, all the same size and shape. There are 8 red,
adoni [48]
50/50 chance of getting a yellow marble.

Explanation:

There are 10 yellow marbles in the bag, and the other half are other colors. This would create a 50/50 ratio.

I am honestly super rusty with probability but oh well...
3 0
3 years ago
Sin430° x sin490° x sin530° = 1/8​
nlexa [21]

Answer: 1/8

Step-by-step explanation:

https://math.stackexchange.com/a/1788346

4 0
3 years ago
which of the following is not the characteristics of numerical computing? a) aacuracy b) efficiency c) stability d)truncatating​
Mkey [24]

Based on the explanation below, the option which is not the characteristics of numerical computing d) truncatating​.

<h3>What is numerical computing?</h3>

Numerical computing is a technique for tackling difficult mathematical problems with only basic arithmetic operations.

The method entails the creation of mathematical models that can be solved using arithmetic procedures.

The three characteristics of numerical computing are accuracy, efficiency, and stability.

Learn more about accuracy here: brainly.com/question/15276983.

#SPJ1

7 0
2 years ago
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