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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.

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500(x - 3) = 5000<br><br><br><br> x = _____
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

500(x - 3) =5000

x - 3 = 5000/500

x - 3 = 10

x = 10 + 3

x = 13

6 0
3 years ago
Solve using elimination x-2y=12 and 5x+3y=-44 <br> (4,8)<br> (-4,8)<br> (4,-8)<br> (-4,-8)
Leya [2.2K]

Answer:

(-4, -8)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

x - 2y = 12

5x + 3y = -44

<u>Step 2: Rewrite Systems</u>

x - 2y = 12

  1. [Multiplication Property of Equality] Multiply everything by -5:                  -5x + 10y = -60

<u>Step 3: Redefine Systems</u>

-5x + 10y = -60

5x + 3y = -44

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Elimination</em>

  1. Combine 2 equations:                                                                                   13y = -104
  2. [Division Property of Equality] Divide 13 on both sides:                              y = -8

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x - 2y = 12
  2. Substitute in <em>y</em>:                                                                                                x - 2(-8) = 12
  3. Multiply:                                                                                                           x + 16 = 12
  4. [Subtraction Property of Equality] Subtract 16 on both sides:                      x = -4
6 0
3 years ago
The formula v=√64h can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity
zhuklara [117]

Answer:

  B)  43.82 feet/sec

Step-by-step explanation:

Fill in the number and evaluate:

  v = √(64×30) = √1920 ≈ 43.82 . . . . ft/s

_____

Of course, √(64h) can be simplified to 8√h. You know that √30 lies between 5 and 6, so the velocity lies between 8·5 = 40 and 8·6 = 48. There is only one answer choice in that range.

4 0
3 years ago
Help me please thank yiu
Citrus2011 [14]

Answer:

Step-by-step explanation:

I think it is C

5 0
3 years ago
Read 2 more answers
Pweeze help and i will give brainliest UwU &lt;3
bazaltina [42]

Answer:

See below for answers

Step-by-step explanation:

1st blank: 2*2*2*2*2*2*2

2nd blank: 2

3rd blank: 7*7

4th blank: 7

5th blank: no

6th blank: doesn't equal

4 0
3 years ago
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