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notsponge [240]
1 year ago
14

What are the solutions to the following system of equations? x + y = 3 y = x2 − 9 (3, 0) and (1, 2) (−3, 0) and (1, 2) (3, 0) an

d (−4, 7) (−3, 0) and (−4, 7)
Mathematics
1 answer:
OLga [1]1 year ago
3 0

The solutions for the given system of equations are:

(3, 0), (-4, 7).

<h3>How to solve the given system of equations:</h3>

Here we have the system:

x + y = 3

y = x² - 9

To solve this, we can replace the second equation into the first one, so we get:

x + (x² - 9) = 3

Now we can solve this quadratic equation for x, we need to solve:

x² + x - 12 = 0.

The solutions are given by Bhaskara's formula:

x = \frac{-1 \pm \sqrt{1^2 - 4*1*(-12)} }{2*1} \\\\x = \frac{-1 \pm 7 }{2}

Then the two solutions are:

x = (-1 + 7)/2 = 3

x = (-1 - 7)/2 = -4

To get the y-values correspondent, we can evaluate the linear equation in these two values:

y = 3 - x.

For x = 3:

y = 3 - 3 = 0

For x = -4:

y = 3 + 4 = 7

Then the two solutions are: (3, 0), (-4, 7).

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

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faltersainse [42]

The Scale used on blueprint is 1 inches represents 4/3 feet

Scaling is the increase or decrease in size of a figure or object so as to create an image of that object.

Since on the blueprint, the walls measure 10 feet by 12 feet but on the blue print it measures 7.5 inches by 9 inches. Hence:

Scale used on blueprint is 7.5 inches = 10 feet or 9 inches = 12 feet

1 inches = 4/3 feet

The Scale used on blueprint is 1 inches represents 4/3 feet

Find out more at: brainly.com/question/20095188

7 0
2 years ago
What are the x and y values....?<br><br> -1x + 2y = 18 <br><br> Haylp me pls!
Nesterboy [21]
Use the zeroes to figure this out... x=-18, y=9
7 0
3 years ago
What is 485,783 rounded to its greatest place?​
natima [27]

Answer:

486

Step-by-step explanation:

if you mean 485.782 with a decimal then it would be 486

7 0
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Help with it all, don't understand this
Ganezh [65]
Number 3 it is a factor because if u expand you will see that x+6 will be the answer
5 0
3 years ago
If 2x-6=0 the x =? ​
Oliga [24]

Answer:

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Step-by-step explanation:

7 0
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