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3 years ago

Simplify the expression (2x − 9)(x + 6). Help?

2 answers:

6 0

( 2x - 9 ) ( x + 6 )

( 2x ) ( x ) + ( 2x ) ( 6 ) + ( - 9 ) ( x ) + ( - 9 ) ( 6 )

2x² + 12x - 9x - 54

2x² + 3x - 54.

Mashcka [7]3 years ago

6 0

Answer: $2x^2+3x-54$

Step-by-step explanation:

The given expression is $(2x-9)(x+6)$

Distributive property:

$a(b+c)=ab+ac$

or $(b+c)a=ba+ca$

By distributive property the above expression will be written as :

$(2x-9)x+(2x-9)6\\\\(2x)x-9x+(2x)(6)-(9)(6)\\\\2x^2-9x+12x-54\\\\2x^2+(-9+12)x-54\\\\2x^2+3x-54$

Hence, $(2x-9)(x+6)=2x^2+3x-54$

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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x

Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

$f(x) = (x - (7 + i)) (x - (5 - i))$

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

$f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))$

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

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2 years ago

Round to underline digit 3 in 32, 336

Charra [1.4K]

I dont know if you know this, but there are 3 different 3's. So how can we figure out the question if we don't know which one is underlined?

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3 years ago

A set of piano prices distributed at a mean of 3000 and a standard deviation of 200 dollars. An electric piano has a price of 25

lana [24]

Answer:

The proportion of piano prices higher than the electric piano is 98.3%

Step-by-step explanation:

The first thing to do here is to calculate the standard score of the price of the electric piano given.

Mathematically, this is

z-score = (x-mean)/SD

where mean is 3000 and SD is 200, x is 2576

z-score = (2576-3000)/200 = -2.12

Now we proceed to calculate the probability of this z-score

The probability we are trying to calculate is

P( x > $2576) or simply P ( z > -2.12)

Using standard score probability calculator or table, we have

P(x>2576) = 1 - P(x<2576)

But, P(x<2576) = 0.017003

P(x>2576) = 1 - P(x<2576) = 0.983

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3 years ago

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Answer:

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3 years ago

24. A farmstand collected $350 from sales on Wednesday. This amount was $75

larisa [96]

Answer:

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Step-by-step explanation:

Given:

Wednesday sales = $350

If the amount collected from sales on Wednesday was $75 greater than the amount collected from sales on Tuesday, then Tuesday's sales were $75 less than Wednesday's sales:

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If the amount collected from sales on Wednesday was two times as great as the amount collected from sales on Monday, then Monday's sales were half Wednesday's sales:

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To calculate how much more the farmstand collected from sales on Tuesday than it collected on Monday, subtract the Monday sales from the Tuesday sales:

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2 years ago

Read 2 more answers