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2 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]2 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]2 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.

Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.

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

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3 years ago