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
-Dominant- [34]
3 years ago
14

What is the solution set for this linear-quadratic system of equations?

Mathematics
2 answers:
densk [106]3 years ago
6 0
For this type of solution set, it is easiest to substitute one equation into another before we factor the resulting equation out...

y = x² - x - 12      (using this, we already know what y is equal to)
y - x - 3 = 0        (substitute the first value of y into this equation and simplify)

(x² - x - 12) - x - 3 = 0        (drop the parentheses)
x² - x - 12 - x - 3 = 0          (combine like terms)
x² - 2x - 15 = 0                (now we can factor -15)
(x - 5) (x + 3) = 0              (set each to equal 0)

x - 5 = 0              x + 3 = 0
x = 5                    x = -3        (now we have the solution to the system)
Lostsunrise [7]3 years ago
3 0
Y - x - 3 = 0
y = x + 3

y = x^2 - x - 12
x + 3 = x^2 - x - 12
x^2 - x - 12 - x - 3 = 0
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0

x - 5 = 0     y = x + 3
x = 5          y = 5 + 3
                  y = 8

x + 3 = 0     y = x + 3
x = -3          y = -3 + 3
                   y = 0

so ur solutions are : (5,8) and (-3,0)
You might be interested in
Drag each pair of rates to the correct location on the table.
Dafna11 [192]

1/8 is in it 3/2 if that is it

5 0
2 years ago
Find the nonpermissible replacement for s in this expression s-1/s-5​
Mrrafil [7]

Answer: s^2-5s-1/s

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

6 0
3 years ago
I NEED HELP BY TODAY PLEASE
andreev551 [17]

Answer: m∠ABC = m∠CED; Corresponding Angles Theorem

Step-by-step explanation:

i took the test

4 0
3 years ago
What is the charge on an object that has 1. 25 * 10 ^-17.
Aliun [14]

Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.

Step-by-step explanation:

7 0
2 years ago
What is the fraction for 0.2
Olenka [21]
1/5  this is the closest answer i can think of

3 0
3 years ago
Read 2 more answers
Other questions:
  • Is 3/5 equivalent to 0.35
    15·1 answer
  • Write the equation of a line in SLOPE-INTERCEPT FORM that goes through (7,-3) and (6,-8).
    14·2 answers
  • Malcolm and Ravi raced each other.
    10·1 answer
  • What fraction is equal to the decimal 0.32?<br><br> Enter your answer in the box in simplest form.
    14·1 answer
  • Give a picture about real- life situation illustration percentage and decimals
    5·1 answer
  • The results of a swim meet are shown. Who swam the fastest? Explain Your Reasoning. Tawni- 50-m-Freestyle Time= 40.8 Pepita-100-
    9·1 answer
  • Please help quickly !
    12·1 answer
  • I need the answer. Pls∝∝∝∝
    13·2 answers
  • Determine the constant different in this numeric pattern:5;9;13;17;21​
    8·1 answer
  • What's 3.2rounded to the nearest tenth
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!