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
Yuliya22 [10]
2 years ago
13

Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.

Mathematics
1 answer:
Semenov [28]2 years ago
3 0

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

You might be interested in
A trapezoid has a height of 10 feet, and base measurements of 20 feet and 8 feet. What is the area?
olchik [2.2K]

Answer:

38

Step-by-step explanation:

3 0
3 years ago
12.42 + (-20) =<br>A) 4 B) -4 C)-12 D) 12<br>PLEASE answer quick ​
Ivan

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Can any one please help me under this? I need to know which option indicates that 3 goes after 5and between 7,12and 5 then how t
Archy [21]

"3 va después de 5 y entre 7 y 12" = "3 goes after 5, and between 7 and 12"

This eliminates A and D (3 is not between 7 and 12 in either choice).

"5 va antes de 12 y entre 7 y 3" = "5 goes after 12, and between 7 and 3"

This eliminates C (5 is not between 7 and 3).

So the correct sequence is B.

4 0
2 years ago
Bay View Middle School wants to change their school mascot they came up with five mascot names and survey done with randoms used
katovenus [111]

Answer:seahawks | 20

sharks | 14

marlins. | 12

dolphins. | 9

penguins | 5

Step-by-step explanation:

5 0
2 years ago
A rectangular picture frame has outside dimensions of 8 inches wide and 10 inches tall. If the glass on the picture frame has an
Leto [7]

Answer:

1 inch

Step-by-step explanation:

If we call the thickness of the frame x, then the dimensions of the glass are:

w = 8 − 2x

h = 10 − 2x

The area of the glass is width times height:

48 = (8 − 2x) (10 − 2x)

Distribute and simplify:

48 = 80 − 16x − 20x + 4x²

0 = 4x² − 36x + 32

0 = x² − 9x + 8

Factor and solve:

0 = (x − 1) (x − 8)

x = 1 or x = 8

x can't be more than 4 (half the width of the frame), so x = 1 inch.

7 0
3 years ago
Other questions:
  • Please help thank you!​
    12·1 answer
  • A recipe asks for 2/3 cup of milk. How many cups of milk are needed for 1 1/2 recipes?
    8·2 answers
  • Evaluate -(5-4)(52).
    7·1 answer
  • Using the table determine which statement is correct. *
    10·2 answers
  • A candy company ships 1,200 candy bars to
    6·2 answers
  • PLS HELP WORTH 15 POINTS SCREEN SHOT IS BELOW
    14·1 answer
  • The slope of diagonal AB is ___ , and it’s equation is ___.
    10·1 answer
  • Use the diagram to solve for x.
    6·1 answer
  • Pllllllllllllllllllllllllllllssssssssssssssssssssssssssss
    5·2 answers
  • Select the numbers that are expressed in scientific notation.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!