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4 years ago

Select all statements that are true about the linear equation.

Mathematics

2 answers:

viktelen [127]4 years ago

7 0

Check all options:

A. The point (−6,7) is on the graph of the equation $y=\dfrac{1}{2}x-4.$ Substitute x=-6, y=7 and get

$7=\dfrac{1}{2}\cdot (-6)-4,\\ \\7=-3-4,\\ \\7=-7.$

This is false equality, thus option A is false.

B. The point (−4,-6) is on the graph of the equation $y=\dfrac{1}{2}x-4.$ Substitute x=-4, y=-6 and get

$-6=\dfrac{1}{2}\cdot (-4)-4,\\ \\-6=-2-4,\\ \\-6=-6.$

This is true equality, thus option B is true.

C and D. Look at the attached diagram for the graph of the function $y=\dfrac{1}{2}x-4.$ You can see that the graph is the solid line, therefore, the graph of the equation is the set of all points that are solutions to the equation not the graph of the equation is a single point representing one solution to the equation. Option C is false, option D is true.

Answer: correct options are B and D.

lilavasa [31]4 years ago

7 0

Answer:

poopey

Step-by-step explanation:

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3 years ago

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yawa3891 [41]

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Step-by-step explanation:

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4 years ago

Read 2 more answers

Determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.

Arada [10]

The sequence $a_n=\frac{n^2}{n^3+5n}$ diverges.

For given question,

We have been given a sequence $a_n=\frac{n^2}{n^3+5n}$

We need to determine whether the sequence converges or diverges.

From given sequence we have, $a_{n+1}=\frac{(n+1)^2}{(n+1)^3+5(n+1)}$

We use Ratio Test.

According to Ratio Test, $r=\frac{a_{n+1}}{a_n}$ , where sequence converges if and only if |r| < 1.

Consider,

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(n+1)^2}{(n+1)^3+5(n+1)}}{\frac{n^2}{n^3+5n}} |\\\\\\= \lim_{n \to \infty} |\frac{(n+1)^2(n^3+5n)}{n^2[(n+1)^3+5(n+1)]} |\\\\=\infty$

Since $\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |$ is not defined, the sequence $a_n=\frac{n^2}{n^3+5n}$ diverges.

Therefore, the sequence $a_n=\frac{n^2}{n^3+5n}$ diverges.

Learn more about the sequence here:

brainly.com/question/17175513

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2 years ago