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3 years ago

Describe system of linear equations using practical situation and mathematical expressions

Mathematics

1 answer:

AnnZ [28]3 years ago

8 0

Answer:

A system of linear equations is a collection of two or more linear equations, and a solution to a system of linear equations consists of values of each of the unknown variables in the system that satisfies all of its equations, or makes them true.

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1/2+6 over 3 = x-3 over 2

Amanda [17]

Answer:

x = 7 1/3

Step-by-step explanation:

First, add 1/2 and 6

1/2 + 12/2 = 13/2 = 6 1/2

Our equation now:

13/2 over 3 - x - 3 over 2 = 0

Next, divide 13/2 by 3

13/2 divided by 3 = 13/6

Our equation now:

13/6 over 3 - (x - 3) over 2 = 0

Now, find common denominators and simplify

13/6 - ((x - 3) times 3) over 6 = 0

22 - 3x over 6 = 0

Multiply by six on both sides

22 - 3x = 0

Subtract 22 from both sides

-3x = -22

Divide by -1

3x = 22

Divide both sides of the equation by 3

x = 22/3

x = 7 1/3

Hope this helps!

8 0

3 years ago

What is the slope of the line that goes through (-5,5) and (5,-7)

Ivenika [448]

Answer:

y2-y1/x2-x1

=-7-5/5-(-5)

=-12/10

=-6/5

Step-by-step explanation:

Given two points on on a line to find the slope we use the formula y2-y1/x2-x1 , hence the answer above.

3 0

3 years ago

X<25 true or false ? 100<4x -3x>-75 10>35-x Are these true or false ?

strojnjashka [21]

Answer:

What is the value of x

Step-by-step explanation:

X<25 true or false ? This says x is less than 25

100<4x

Divide each side by 4

100/4 <4x/4

25<x

This says x is greater than 25

-3x>-75

Divide each side by -3, remembering to flip the inequality

-3x/-3 < -75/-3

x < 25

x is less than 25

10>35-x

Add x to each side

10+x >35-x+x

10+x>35

Subtract 10 from each side

10-10+x>35-10

x>25

x is greater than 25

5 0

4 years ago

Read 2 more answers

(a) Suppose anxn has finite radius of convergence R and an ≥ 0 for all n. Show that if the series converges at R, then it also c

valina [46]

Answer:

a) See the proof below.

b) $\sum \frac{(-x)^n}{n}$

Step-by-step explanation:

Part a

For this case we assume that we have the following series $\sum a)n x^n$ and this series has a finite radius of convergence $R$ and we assume that $a_n \geq 0$ for all n, this information is given by the problem.

We assume that the series converges at the point $x= R$ since w eknwo that converges, and since converges we can conclude that:

$\sum a)n R^n < \infty$

For this case we need to show that converges also for $x=-R$

So we need to proof that $\sum a_n (-R)^n < \infty$

We can do some algebra and we can rewrite the following expression like this:

$\sum a_n (-R)^n = \sum (-1)^n a)n R^n$ and we see that the last series is alternating.

Since we know that $\sum a_n x^n$ converges then the sequence { $a_n R^n$ } must be positive and we need to have $lim_{n\to \infty} a^n R^n = 0$

And then by the alternating series test we can conclude that $\sum a_n (-R)^n$ also converges. And then we conclude that the power series $a_n x^n$ converges for $x=-R$ ,and that complete the proof.

Part b

For this case we need to provide a series whose interval of convergence is exactly (-1,1]

And the best function for this $\frac{(-x)^n}{n}$

Because the series $\sum \frac{(-x)^n}{n}$ converges to $-ln(1+x)$ when $|x|$ using the root test.

But by the properties of the natural log the series diverges at $x=-1$ because $\sum \frac{1}{n} =\infty$ and for $x=1$ we know that converges since $\sum \frac{-1}{n}$ is an alternating series that converges because the expression tends to 0.

6 0

3 years ago

-2/3 x 3/4 Please help!

geniusboy [140]

Answer:

-1/2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers