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Dmitry [639]
4 years ago
10

Solve the system of equations. x + 3y = −1 2x + 2y = 6

Mathematics
1 answer:
mihalych1998 [28]4 years ago
5 0
  1x+ 3y = -12x + 2y = 6
+12x         +12x
  13x + 3y = 2y = 6 
           +3y  +3y
  13x = 5y = 6 
13x = 5y and 5y = 6 
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Select the graph of the solution. Click on the graph until the correct one appears.
Yuki888 [10]

x2

So, Graph of Image 1 is correct.

Step-by-step explanation:

We need to find the graph of the solution o the equation |x|+3>5

Solving:

|x|+3>5

Adding -3 on both sides

|x|+3-3>5-3

|x|>2

Applying absolute rule: if |u|>a then u>a or u<-a

x2

So, all values greater than 2 and less than -2 are included.

So, Graph of Image 1 is correct.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

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3 years ago
Kate has run 7 miles this month. Kate would like to graph the line that represents the total number of miles she will have run,
Oliga [24]
For the first one it is 49 and for the second one it is 14
8 0
4 years ago
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Hi. I need help with these questions.<br> See image for question.<br> Answer 16 and 17
Irina-Kira [14]

Step-by-step explanation:

16.................................................

<h3>Given</h3>
  • Equation ax² + bx + c = 0
  • One of the roots is twice the other
<h3>To find</h3>
  • Show that 2b² = 9ac
<h3>Solution</h3>

Let the roots be p and q

<u>The sum and product of the roots:</u>

  • p + q = -b/a
  • pq = c/a

<u>The sum of the roots, considering p = 2q,</u>

  • p + q = 2q + q = 3q

And

  • 3q = -b/a ⇒ q = -b/(3a)

<u>The product of the roots, considering p = 2q:</u>

  • pq = 2q(q) = 2q²

And

  • 2q² = c/a

<u>Substitute q with -b/(3a)</u>

  • 2(-b/(3a))² = c/a
  • 2b²/(9a²) = c/a
  • 2b² = 9a²(c/a)
  • 2b² = 9ac

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

17. .................................................

<h3>Given</h3>

Quadratic equation

  • ax² = bx + c = 0, with equal roots
<h3>To find</h3>
  • Show that b² = 4ac
<h3>Solution</h3>

<u>Equal roots means the discriminant is zero:</u>

  • D = √b² - 4ac
  • √b² - 4ac = 0
  • b² - 4ac = 0
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3 0
3 years ago
Which expression is equivalent to -6x^3 • x • y^2 • y^6?
Georgia [21]

Use the Product Rule: x^ax^b = x^a + b

6x^3 + 1y^2 + 6

Simplify 3 + 1 to 4

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Simplify 2 + 6 to 8

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Which equation represents a linear function that is proportional?
Thepotemich [5.8K]
Answer is A. Can rule out b and c. Also d isn't proportional
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