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irga5000 [103]
3 years ago
10

What is the factored form of 8x^2 + 12x

Mathematics
2 answers:
Crazy boy [7]3 years ago
6 0
The answer is the following:

4x(2x+3)

hope it helped :)
Vaselesa [24]3 years ago
5 0

Answer:  The required factored form of the given expression is 4x(2x+3).

Step-by-step explanation:  We are given to find the factored form of the following quadratic expression :

E=8x^2+12x~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the given quadratic expression does not contain the constant term, so first we should take common the x-term and then factorize.

From equation (i), we have

E\\\\=8x^2+12x\\\\=4x(2x+3).

Thus, the required factored form of the given expression is  4x(2x+3).

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Find the vertex of the parabola y = 8x2.
murzikaleks [220]

Answer:

vertex is at (0,0)

Step-by-step explanation:

Find the vertex of the parabola y = 8x2.

I assume you meant   y =  8* x^2

this can be compared to the general vertex form  y = a (x - h)^2 + k

where vertex at  (h, k)

so then...

h =0  and k = 0 here

vertex is at (0,0)

7 0
3 years ago
4. Find the area of this figure.
mihalych1998 [28]

Answer:

I believe it is 100 ft

Step-by-step explanation:

3 0
2 years ago
Estimate the solution to the system of equations 7x−y=7 x+2y=6 ​i need help
Yanka [14]

Answer:

(4/3, 7/3)

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
  • Coordinates (x, y)
  • Solving systems of equations of using substitution/elimination

Step-by-step explanation:

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

7x - y = 7

x + 2y = 6

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

Equation: x + 2y = 6

  1. [Subtraction Property of Equality] Subtract 2y on both sides:                    x = 6 - 2y

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

7x - y = 7

x = 6 - 2y

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

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                7(6 - 2y) - y = 7
  2. Distribute 7:                                                                                                    42 - 14y - y = 7
  3. Combine like terms:                                                                                       42 - 15y = 7
  4. [Subtraction Property of Equality] Subtract 42 on both sides:                    -15y = -35
  5. [Division Property of Equality] Divide -15 on both sides:                             y = 7/3

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

  1. Define original equation:                                                                               x + 2y = 6
  2. Substitute in <em>y</em>:                                                                                                x + 2(7/3) = 6
  3. Multiply:                                                                                                           x + 14/3 = 6
  4. [Subtraction Property of Equality] Subtract 14/3 on both sides:                  x = 4/3
7 0
3 years ago
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

3 0
3 years ago
Find A, B, and C <br> Help ASAP!<br> {10 points up}
Rama09 [41]

so we have a 60-30-90 triangle (top one)

so since we know 6 is x (the side on the right angle and 60 degrees)

b is 2x or 2(6) = 12

a is x√3 = 6√3


for C I need to use a 45 45 90 triangle

Since b is 12 and its x√2  to find x we should write it as

x√2 = 12

√2     √2  divide by √2

x = 12/√2  but we must rationalize the denominator

12/√2  times √2/√2  = 12√2/2 and that's c


6 0
2 years ago
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