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
mars1129 [50]
3 years ago
14

Solve the system of equations.y= 2x + 4y = x2 + x - 2​

Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Answer:

A.

Step-by-step explanation:

y=2x+4

y=x^2+x-2

Both equations are solved for y so I'm just going to substitute

the 1st  y  (the 2x+4) into the second equation's y.

2x+4=x^2+x-2

I'm going to get everything on one side so I have 0=ax^2+bx+c.

Subtract 2x and subtract 4 on both sides:

0=x^2-x-6

Since the coefficient of x^2 is 1, all we have to do is find two numbers that multiply to be -6 and add up to be -1.

These numbers are -3 and 2.

So the factored form of our equation is:

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

This means we have x-3=0 or x+2=0.

x-3=0

Add 3 on both sides:

x=3

x+2=0

Subtract 2 on both sides:

x=-2

So now we need to find y. I'm going to choose to use the easier equation:

y=2x+4.

If x=3, then y=2(3)+4=6+4=10.  The ordered pair (3,10) is a solution.

If x=-2, then y=2(-2)+4=-4+4=0.  The orded pair (-2,0) is a solution.

You might be interested in
Sorry I need help with these 3! Thank you to whoever takes the time to solve them!!!
mash [69]
1.)
Starts with 40:10, then cuz you have 80 buns, you need to x2, so it would be 20 cubes

2.)
I don’t know, sorry

3.)
4:2 and 60 in total
so 4+2 is 6 and 60/6 is 10
so it would be 40:20 so 20

hope this helps :)
8 0
3 years ago
3/4 x 8 = ? <br><br> I need help for this question.
ahrayia [7]

Answer:

6 hope this was fast

7 0
2 years ago
Read 2 more answers
A 1350 kg car travels at 12 m/s. What is it's kinetic energy
qaws [65]
KE = 1/2(m * v^2)

KE = 1/2(1350 * 12^2)
KE = 1/2(1350 * 144)
KE = 1/2(194,400)
KE = 97,200 Joules 
6 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!!
Irina18 [472]

Answer:

f(6) = 1

Step-by-step explanation:

Function:

f(x) = -2/3x + 5

f(6) = -2/3(6) + 5

f(6) = -4 + 5

f(6) = 1

4 0
3 years ago
Read 2 more answers
Find the inertia tensor for an equilateral triangle in the xy plane.
ivanzaharov [21]
Find the inertia tensor for an equilateral triangle in the xy plane. Take the mass of the triangle to be M and the length of a side of the triangle to be b. Express your answer below as pure numbers in units of Mb^2. Place the origin on the midpoint of one side and set the y-axis to be along the symmetry axis.
7 0
3 years ago
Other questions:
  • At Billy‘s preschool they have bicycles and tricycles with a total of 57 wheels. The number of bicycles is three less than three
    6·1 answer
  • Sam paid $8.28 for 18 stamps.at this rate,how much would it cost Sam to buy 12 stamps
    6·2 answers
  • Find the distance between the points (3, 8) and (-1, 9).
    15·1 answer
  • Use the formula A=p(1+rt) to find the value of p when a=4774 r =0.06 and t=9
    5·1 answer
  • Parallel lines e and f are cut by transversal b.
    10·2 answers
  • What is the constant proportionality in the equation y = 6x?
    9·1 answer
  • Select the correct answer
    5·2 answers
  • Students arrived at the science museum at 1:15 P.M. They stayed at the museum for
    8·2 answers
  • Answer the question in the image below
    7·1 answer
  • Find the value of x with all work, parallel lines and transversal lines
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!