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Oksi-84 [34.3K]
3 years ago
5

I need help solving. The answer is (2,-6)

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Since we are given x in terms of y, the most efficient way to solve it would be to substitute in the \frac{1}{2}y+5 for x in the second equation. So, we then have:

2(\frac{y}{2}+5)+3y=-14 \implies \\
y+10+3y=-14 \implies \\
4y+10=-14 \implies\\
4y=-24 \implies \\
y=-6

So, now that we have our y, we can find x. We can actually use either equation, top or bottom, to find x, but to be efficient we should use the top one since we have x in terms of y, so:

x=\frac{-6}{2}+5 \implies \\
x=-3+5 \implies \\
x=2

So, our ordered pair is (2,-6).

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What can be concluded about the sequence 19, 15, 11,
Mariulka [41]

Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The question is incomplete.

The question is:

What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.
  • The next term in the sequence is represented by point (4, 3).
  • f(x) = –4x + 19 represents the sequence.
  • An infinite number of points can be determined to follow this sequence.

The graph is attached to the picture please refer to the graph.

We have an arithmetic sequence:

19, 15, 11, 7,...

The first term is:

a = 19

Common difference d = 15-19 = -4

The nth term:

a(n) = 19 + (n-1)(-4)

a(n) = 19 -4n + 4

a(n) = -4n + 23

We can write above expression as:

f(x) = -4x + 23

Slope of the equation = -4

The correct options are:

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.

Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

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2 years ago
What is the perimeter of this shape? A. 26 cm B. 24 cm C. 22 cm D. 18 cm PLEASE HELP
Citrus2011 [14]
Perimeter is adding all dimensions:
11 + 2 + 8 + 5 = 26 cm
 Answer is A
3 0
3 years ago
Read 2 more answers
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