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3 years ago

When the expression 2x^2+5x-3 is written in the equivalent form (2x-1)(x+3), list the factors

Mathematics

2 answers:

lys-0071 [83]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

To factor the quadratic

2x² + 5x - 3

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term.

product = 2 × - 3 = - 6 and sum = + 5

The required factors are + 6 and - 1

Use these factors to split the x- term

2x² + 6x - x - 3 (factor the first/second and third/ fourth terms )

= 2x(x + 3) - 1(x + 3) ← factor out (x + 3)

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

The factors are (x + 3) and (2x - 1)

raketka [301]3 years ago

3 0

Rjahwhansnwkwoqlqmsnfnddj

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Product of 21.33 and 2.04 and the sum of 1.115, 3.18, 22.0613and 12.2384

larisa [96]

Step-by-step explanation:

A. Line up the decimals, then multiply as you would with whole numbers:

$21.33 \\\times 2.04 \\ = 43.5132$

B. Line up the decimals, then add as you would with whole numbers:

Note: These decimals aren't lined up exactly.

$1.115 \\ + 3.18 \\ = 4.295$

$22.061 \\ + 4.295 \\ = 26.356$

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3 years ago

A line from the top of a cliff to the ground passes just over the top of a pole 6.0 ft. high and meets the ground at a point 7.0

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This will solved using the concept of proportionality:
(height of the cliff)/(height of the pole)=(base of the cliff)/(length from base of pole to the rope)
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3 years ago

I exercise for hour an half everyday.how many minutes in total do i exercise for 5 days

LenaWriter [7]

Answer:

450 minutes

Step-by-step explanation:

1 hour and a half = 90 minutes in one day

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3 years ago

En la preparación de un perfume se cuenta con dos tipos de esencia base: 1600 ml de una y 1680 ml de otra. Se quiere envasarlas,

Lostsunrise [7]

Answer:

33,600 frascos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encuentre y enumere los múltiplos de 1600 y 1680 hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

Múltiplos de 1600:

1600, 3200, 4800, 6400, 8000, 9600, 11200, 12800, 14400, 16000, 17600, 19200, 20800, 22400, 24000, 25600, 27200, 28800, 30400, 32000, 33600, 35200, 36800

Múltiplos de 1680:

1680, 3360, 5040, 6720, 8400, 10080, 11760, 13440, 15120, 16800, 18480, 20160, 21840, 23520, 25200, 26880, 28560, 30240, 31920, 33600, 35280, 36960

Por lo tanto,

LCM (1600, 1680) = 33,600

La menor cantidad de frascos necesarios es 33,600 frascos.

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