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NeTakaya
3 years ago
8

Without graphing classify each system as independent dependent or inconsistent -x -y=7 5x-5y=5

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

-x-y=7 -----> isolate the variable y

y=-x-7 ----> equation A

5x-5y=5 -----> isolate the variable y

y=x-5 ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

so

The system of equations has only one solution

therefore

Is a consistent independent system

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Hello Brainly Teacher Brainly Moderators and trusted helpers!​
tatyana61 [14]

Answer:

  • P(x < 84) = 0.3085 or approximately 31%

============

<em>Hello to you from Brainly team!</em>

<h3>Given</h3>

  • Mean grade μ = 86,
  • Standard deviation σ = 4,
  • Grade limit x = 84.

<h3>To find </h3>

  • Probability of that a randomly selected grade is less than 84 or P(x < 84).

<h3>Solution</h3>

Find z-score using relevant equation:

  • z = (x - μ)/σ

Substitute values and calculate:

  • z = (84 - 86)/4 = - 0.5

Using the z-score table find the corresponding P- value.

  • P(x < 84) = 0.30854 or approximately 31%
4 0
2 years ago
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question: graph of 2x cubed plus x squared minus
Zina [86]

Answer:

7

Step-by-step explanation:

f(x) = 2x^3 + x^2 − 3x + 1

f'(x) = 6x^2 + 2x − 3

The slope at -2:

f'(-2) = 6(-2)^2 + 2(-2) − 3

f'(-2) = 24 + -4 − 3

f'(-2) = 17

-----

The slope at 0:

f'(0) = 6(0)^2 + 2(0) − 3

f'(0) =  − 3

The average rate of change is (17+(-3))/2, or 14/2, or 7

                           

6 0
2 years ago
Read 2 more answers
Suppose we are given the following information.
Minchanka [31]

Since the product of the slope is -1, hence the lines are perpendicular

<h3>Parallel and Perpendicular lines</h3>

Two lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1

Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;

Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3

Similarly for the coordinate points (-1, -7) and (1, -1).

Slope = -1+7/1+1
Slope of line 2 = 6/2

Slope = 3

Take the product of the slopes

Slope = -1/3 * 3
slope = -1

Since the product of the slope is -1, hence the lines are perpendicular

Learn more on parallel and perpendicular lines here: brainly.com/question/25429151

#SPJ1

5 0
2 years ago
What is the square root of 0.4 repeating?
timama [110]
Yes. hope this is helpful
4 0
3 years ago
What are the solutions of the equation?<br>15 - 8x^2 – 14x​
ipn [44]
One solution to your problem is 15(1-2x)
6 0
3 years ago
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