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Softa [21]
2 years ago
12

Solve (2x + 5)= (2x + 3)(2x - 1)

Mathematics
2 answers:
____ [38]2 years ago
6 0

Answer:

x = -1± sqrt( 33)

    ----------------------------

             4

Step-by-step explanation:

(2x + 5)= (2x + 3)(2x - 1)

Distribute

2x+5 = 4x^2 +6x-2x-3

Combine like terms

2x+5 = 4x^2 +4x -3

Subtract 2x +5 from each side

0 = 4x^2 +4x-3-2x-5

Combine like terms

0 =4x^2 +2x -8

Using the quadratic formula

a=4  b=2  c=-8

x = -b± sqrt( b^2-4ac)

    ----------------------------

             2a

x = -2± sqrt( 2^2-4(4)(-8))

    ----------------------------

             2(4)

x = -2± sqrt( 4+128)

    ----------------------------

             8

x = -2± sqrt( 132)

    ----------------------------

             8

x = -2± 2sqrt( 33)

    ----------------------------

             8

x = -1± sqrt( 33)

    ----------------------------

             4

AlexFokin [52]2 years ago
4 0

(2x + 5)= (2x + 3)(2x - 1)\\2x+5=4x^2-2x+6x-3\\4x^2-2x+6x-3-2x-5=0\\4x^2+2x-8=0\\(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\ x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}

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A group of neighbors are constructing a community garden that is 80 m wide and 40 m long the top to vertex are plotted below at
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Question Correction

A group of neighbors are constructing a community garden that is 80 meters wide and 40 meters long. The top two vertices are plotted below at (10, 70) and (90, 70). What are the coordinates for the bottom two vertices of the garden?

Answer:

(10,30) and (90,30)

Step-by-step explanation:

The community garden is 80 m wide and 40 m long.

The top two vertex are plotted at: (10, 70) and (90, 70).

Horizontal Distance =90-10=80

This serves as the Width of the garden.

Since the length is 40m, the bottom two vertex can be derived by the transformation: (x,y-40).

(x,y-40)-->(10, 70)=(10,30); and

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The coordinates for the two bottom vertices are (10,30) and (90,30).

5 0
3 years ago
Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be
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Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

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this simply means  that ;  P(n) is true for all 'n' in the set

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b) since P(0) and P(1) are true

we will assume that

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also P(1) and P(2) are true

we will assume that

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Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

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This simply means that P(n) is true for all 'n' in the set

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2 years ago
A company has 29900 employees in one country. If this represent 18.3% of the company’s employees, how many employees does it hav
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Answer:

About 163 388 employees

Step-by-step explanation:

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Divide through by 0.183

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The total number of employees in one country is about 163388

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