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
notsponge [240]
2 years 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]2 years 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

You might be interested in
Help please<br>h - (-2) ≥ 10​
hichkok12 [17]

Answer:

answer

Step-by-step explanation:

h+2 ≥ 10

h ≥ 10 - 2

h ≥ 8

5 0
3 years ago
Given the ratio of 6 feet:72 inches, how many inches are equivalent to 3 feet
irina1246 [14]

Answer:

36 inches

Step-by-step explanation:

6 feet equals 72 inches. 6 divided by 2 is 3 so you do 72 divided by 2. 72 divided by 2 is 36 inches.

Hope this helps :)

7 0
3 years ago
It costs $3.45 to buy 2 lbs of chopped walnuts.how much would it cost to purchase 7 lbs of walnuts?
Jobisdone [24]

Answer:

$12.075

Step-by-step explanation:

To find how much one pound of walnuts cost you need to divide 3.45(cost) and 2 (how much) and you get 1.725. That means how much one pound cost ...now that you know that all you have to do is multiply 1.725 by 7. You get $12.075 :)

3 0
3 years ago
5 - 7k = -4(k + 1) - 3​
mojhsa [17]

Answer:

5 - 7k = -4(k + 1) - 3​

5 - 7k = -4k - 4 - 3​

7k + 4k = - 4 - 3​ -5

11k = -12

k = -12/11

~batmans wife dun dun dun...

7 0
3 years ago
Read 2 more answers
Whats 1/2 of 32 cups
Nostrana [21]

Answer:

16 cups

Step-by-step explanation:

1/2 of 32 cups = 1/2 * 32 cups = 0.5 * 32 cups = 16 cups

4 0
3 years ago
Other questions:
  • Please help I don't understand
    12·1 answer
  • If two angles of one triangle are congruent to two angles of another triangle then what can you conclude about the third angles
    15·1 answer
  • Mai had 5 candy bars. She ate half of one candy bar and decided to distribute the remaining bars between her two sisters and her
    9·2 answers
  • Find two consecutive odd integers whose sum is 110​
    9·1 answer
  • How might you prove your observations about the slope of a midsegment in part d using algebra and x- and y-coordinates? Briefly
    6·2 answers
  • Glven: ABCD is a parallelogram.<br> Prove: AB - CD and BC – DA
    13·2 answers
  • Look at the png , pls help!
    6·1 answer
  • What is the interquartile range of the data set?
    13·1 answer
  • 10 - 2(3p - 6)<br> How do I evaluate this?
    8·1 answer
  • WHO EVER ANSWERS THIS MATH PROBLEM WILL GET 100 POINTS FOR ANSWER
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!