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3 years ago

Two system of equations 2y =14-2x and y=-x + 7 is graphed. What is the solution to the system of equations

Mathematics

2 answers:

Molodets [167]3 years ago

7 0

Answer:

Infinitely many solutions

Step-by-step explanation:

Given equations

2y =14-2x and
y= -x + 7

Rewriting the first equation

2y = 14 - 2x
2y = -2x + 14
y = -x + 7

As we see it is same as the second equation. So same two lines, overlapping when graphed and the system has infinitely many solutions

Trava [24]3 years ago

6 0

<h2>Answer:</h2>

To solve this system, we will use the graphing method.

Based on the graph shown below, we can conclude that this system has infinite solutions, because they are the same line.

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Suppose A= {5,6,8,10,12} and B= {8,9,12,13,14} What is AunionB?

earnstyle [38]

Answer:

A ∪ B = {5 , 6 , 8 , 9 , 10 , 12 , 13 , 14}

Step-by-step explanation:

The symbol of union is ∪

The symbol of intersection is ∩

In the sets A and B

A ∪ B means all elements in sets A and B without repeating

A ∩ B means the common elements in sets A and B

n(A ∪ B) = n(A) + n(B) - n(A ∩B), where n is the number of elements in the set

Now let us solve the question

∵ Set A = {5 , 6 , 8 , 10 , 12}

∴ n(A) = 5

∵ Set B = {8 , 9 , 12 , 13 , 14}

∴ n(B) = 5

The elements 8 and 12 are in the two sets

∵ There are two common elements in the two sets 8 and 12

∴ n(A ∩ B) = 2

Use the 3rd rule above to find how many elements in A ∪ B

∵ n(A ∪ B) = 5 + 5 - 2

∴ n(A ∪ B) = 8

∴ The set of A ∪ B has 8 elements

∵ A ∪ B means all elements in A and B without repeating

∴ A ∪ B = {5 , 6 , 8 , 9 , 10 , 12 , 13 , 14}

4 0

3 years ago

The height of a triangle is 2 more than

Degger [83]

Answer:

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2 years ago

−5a – ( 6a + 3) + 8} plz help show step by step

Rom4ik [11]

Answer:

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Step-by-step explanation:

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2 years ago

one fabric costs $15.00 for two yards. Another costs $37.50 for 5 yards. Do these fabrics have the same unit cost? explain

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Yes they do becuase
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2 years ago

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Genrish500 [490]

Answer:

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Step-by-step explanation:

The time spent by the play director for preparing for a play is, 190 hours.

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Let the varying amounts of time be denoted by, x.

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3 years ago