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Kamila [148]
4 years ago
11

The linear equation 3x – 11y = 10 has

Mathematics
1 answer:
storchak [24]4 years ago
7 0

Answer:

Correct option: c) infinitely many solutions

Step-by-step explanation:

We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.

To find some solutions, we can choose values for x and then just calculate the value of y:

x = 0:

-11y = 10 -> y = -10/11

x = 1:

3 - 11y = 10 -> y = -7/11

x = 2:

6 - 11y = 10 -> y = -4/11

And so on.

So the correct option is c): infinitely many solutions

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Find an equation for the line that passes through the points (1, -1) and (-3, 1).
saul85 [17]

Answer:

<h3>y = - 1/2x - 1/2</h3>

Step-by-step explanation:

Equation of line is y = mx + c

where m is the slope

c is the y intercept

Slope of the line using points

(1, -1) and (-3, 1) is

m =  \frac{1 + 1}{ - 3 - 1}  =  -  \frac{2}{4}  =  -  \frac{1}{2}

Equation of the line using point

( 1 , - 1) and slope - 1/2 is

y + 1 =  -  \frac{1}{2} (x - 1) \\ y + 1 =  -  \frac{1}{2} x +  \frac{1}{2}  \\ y =   - \frac{ 1}{2} x +  \frac{1}{2}  - 1 \\ y =  -  \frac{1}{2} x -  \frac{1}{2}

Hope this helps you.

3 0
3 years ago
Explain why it does not matter what letter or symbol is used to find an unknown number
lawyer [7]
In an equation using x is just a place holder because those numbers are variables so it doesn't matter whether it is x or w.
6 0
3 years ago
Find the missing side length.
Anastaziya [24]

Answer:

11 cm

Step-by-step explanation:

16-5 = 11

7 0
3 years ago
Read 2 more answers
Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61
Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \sum\limits^7_{n=1} {9n - 2}

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

  • First term, a = 7
  • Common difference, d = 9
  • Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\sum\limits^7_{n=1} {9n - 2}

Read more about arithmetic series at:

brainly.com/question/6561461

3 0
3 years ago
True or false:in a geometric sequence, the term a(n+1) can be smaller than the term a(n)
Svetllana [295]
A(n) = current term

a(n + 1) = next term

in a geometric sequence, the next term comes from a product of the current term and the common ratio.

the common ratio can be any value, let's say use r = ½.

if the current term is say hmmm 40, the next term is 40*½ , or 20, so indeed, the next term is smaller.
5 0
3 years ago
Read 2 more answers
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