1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lutik1710 [3]
3 years ago
15

Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?

Mathematics
1 answer:
Julli [10]3 years ago
5 0

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3

Now that we have the value of x, plug it into either equation to solve for y:

3+3y=-12\\ 3y=-15\\ y=-5\\ \\ y=\frac{1}{3}*3-6\\ y=1-6\\ y=-5

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>
You might be interested in
Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on X right so far. Select
dsp73

Answer:

A. 80-5x

Step-by-step explanation:

Let the number of rides be represented by = x

Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on x right so far.

The number of rides Thomas has been on so far= 5 × x = 5x

The expressions to show the number of tickets that Thomas has left is written as:

80 - 5x

Option A is the correct option.

3 0
3 years ago
Read 2 more answers
How to find minimum and maximum of this equation.
Westkost [7]

Using it's vertex, the maximum value of the quadratic function is -3.19.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point.
  • If a > 0, the vertex is a minimum point.

In this problem, the equation is:

y + 4 = -x² + 1.8x

In standard format:

y = -x² + 1.8x - 4.

The coefficients are a = -1 < 0, b = 1.8, c = -4, hence the maximum value is:

y_v = -\frac{1.8^2 - 4(-1)(-4)}{4(-1)} = -3.19

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

#SPJ1

3 0
2 years ago
Explain how you can use the distributive property to check the binomial factors when a trinomial has been factored. Include an e
erica [24]
What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get
f(x)=x2−2x+3x−6
which simplifies to
f(x)=x2+x−6
4 0
3 years ago
Read 2 more answers
Find the slope of the line that goes through the given points.<br> (-10,5) and (-7, - 10)
Mnenie [13.5K]

Answer:

-5

Step-by-step explanation:

Slope is y2-y1/ x2-x1. So -10 -5/ -7 +10 = -15/3. Then you simplify that to -5

4 0
4 years ago
Read 2 more answers
A sweater for 36.00 at 7% sales tax
blagie [28]
$36 x 1.07 = $38.52
The cost will be $38.52
Tax on this is $2.52
4 0
3 years ago
Other questions:
  • 25 is 32% of what number?
    10·2 answers
  • Henry must choose a number between
    15·1 answer
  • what is the unit rate of 3 pizzas for $19.99 and round the answer to nearest hundredth ? PLZzz HELP ASAP!!!!​
    8·1 answer
  • Simplify:<br> 2(5 + w) + 3(w + 2)
    15·2 answers
  • Write a recursive rule and an explicit rule for each arithmetic sequence.
    8·1 answer
  • Factorise 6-12x please help me
    7·1 answer
  • 100% I don´t really understand this so plz help me
    7·2 answers
  • Write an equation that represents the line
    9·2 answers
  • Sixteen is four less than half of x
    10·1 answer
  • The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of vote
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!