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2 years ago

Prove the polynomial identity.

Mathematics

1 answer:

aleksandr82 [10.1K]2 years ago

7 0

Explanation:

Since we have given that

$(2x+1)^2-2(2x+1)$

Now, we have to prove it as

$(2x+1)(2x-1)$

Now, start the iterations:

$(2x+1)^2-2(2x+1)\\\\=4x^2+1+4x-4x-2\\\\=4x^2+1-2\\\\=4x^2-1\\\\=(2x)^2-1\\\\=(2x+1)(2x-1)$

So, first blank will be filled with

$4x^2+4x+1$

Second blank will be filled with

$4x^2-1$

Hence proved.

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Simplify the problem: Sin theta Sec Theta

kherson [118]

Answer:

$\tan \theta$

Step-by-step explanation:

We have to simplify the following expression as given by

$\sin \theta \times \sec \theta$

= $\frac{\sin \theta}{\cos \theta}$

= $\tan \theta$ ( Answer )

Because, we know that $\sec \theta =\frac{1}{\cos \theta}$ and $\tan \theta = \frac{\sin \theta}{\cos \theta}$

If we consider $\sin \theta = \frac{Perpendicular}{Hypotenuse}$ and $\sec \theta = \frac{Hypotenuse}{Base}$ ,

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2 years ago

Multiply 2000,0.8,100,3,8 and then divide it by 6.

lisabon 2012 [21]

The answer is 64,000 hope this helped ☺

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2 years ago

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A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 40% chance of su

MakcuM [25]

Answer:

118/125

Step-by-step explanation:

We can find first the probability that there isn’t suitable weather:

60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125

now we have just to do this operation

125/125 - 27/125 = 118/125

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2 years ago

PLEASE HELP WITH THIS QUESTION!! DUE BY 1PM! wILL RATE YOU GOOD!! THANK YOU!!

kupik [55]

Find $a_{1}$ by plugging in 1 into n:
$a_{1} = 98-2(1)=96$

Find $a_{11$ by plugging in 11 into n:
$a_{11} = 98-2(11)$
$a_{1} =98-22=76$

Now to find the sum your formula is:
$S_{n} = \frac{n}{2} ( a_{1} + a_{n})$
$n = 11, a_{1} = 96 , a_{11} =76$

Now plug that into the formula
$S_{11} = \frac{11}{2} (96+76)$
$S_{11} = 5.5(172)=946$

Hope that helps

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2 years ago

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Olin [163]

Answer:

2 50 mL bottles

Step-by-step explanation:

Find the cost per mL

55 / 80 mL =.6875 per mL

Now find the price of the buy one get one 1/2 off

45 + 1/2 (45) = 45+22.5=67.5

That will be for 50+50 mL

67.5 /100 ml =.675 per mL

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2 years ago

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