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AysviL [449]
3 years ago
5

What is the relationship between the two equations: 3x + 4y = 12 & 6x + 8y = 48

Mathematics
2 answers:
Igoryamba3 years ago
6 0

Answer:

Their slope is the same. Perpendicular

Step-by-step explanation:

3x + 4y = 12

4y=12-3x

y=-3/4x+3

6x + 8y = 48

8y=48-6x

y=-3/4+6

     

MAXImum [283]3 years ago
3 0

Answer:

when you graph them they you will see that they are parallel lines

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Step-by-step explanation:

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3 years ago
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At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]
denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

f(x) = x^3-2x^2-4x+1 in the interval  [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

f(1) = 1-2-4+1 = -4\\f(0) = 1

The value

\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5

Find derivative for f

f'(x) = 3x^2-4x-4

Equate this to -5 to check mean value theorem

3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1

We find that 1/3 lies inside the interval (0,1)

4 0
3 years ago
the numerator of a fraction is 1 more than twice its denominator. if 4 is added to both the numerator and the denominator, the f
maria [59]
5.
the equation looks like:
((2x+1)+4)/((x)+4)= 5/3
then you do cross multiplication and get:
6x+3+12=5x+20
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3 years ago
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What is Depreciation and Amortization?
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2 years ago
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7(2x-5)=21<br><br> What is x?
Over [174]

Answer:

x = 4

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

Step-by-step explanation:

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

7(2x - 5) = 21

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 7:                   2x - 5 = 3
  2. Isolate <em>x</em> term:                2x = 8
  3. Isolate <em>x</em>:                         x = 4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                  7(2(4) - 5) = 21
  2. Multiply:                             7(8 - 5) = 21
  3. Subtract:                            7(3) = 21
  4. Multiply:                             21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 4 is the solution to the equation.

6 0
3 years ago
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