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2 years ago

What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly

Mathematics

1 answer:

lbvjy [14]2 years ago

8 0

Answer:

185/27

Step-by-step explanation:

To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x

−2x

+3x

−2x+3 by g(x) and get the remainder as shown in the above image.

Hence,

185

should be subtracted from 3x

−2x

+3x

−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.

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Which property is demonstrated <br> 9 * 3 * 4 = 4 * 3 * 9

mr_godi [17]

The commutative property of multiplication.

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3 years ago

I’ve got a couple trigonometry questions that I really need help on. I don’t understand them at all.

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Q5. Option 1

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3 years ago

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

katrin [286]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

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r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

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5 0

3 years ago

The ratio of orange juice to pinapple jucie in tropical treat punch is 4 to 3. Bill has 64oz of orange juice. How many pineapple

iogann1982 [59]

We are given :

The ratio of orange juice to pineapple juice in tropical treat punch = 4:3 or 4/3.

Number of oz of orange juice = 64 oz.

Let us assume number of oz pineapple juice does he need = p.

We can setup an proportion:

64 : p = 4 : 3

$\frac{64}{p} = \frac{4}{3}$

On cross multiplication we get

64 × 3 = 4 × p

192 = 4p

Dividing both sides by 4, we get

p = 48.

<h3>Therefore, he needs 48 oz of pineapple juice.</h3>

5 0

3 years ago

Simplify without using the calculator or the sin tables.

katovenus [111]

Answer:

1/8

Step-by-step explanation:

sin²(π/8) − cos⁴(3π/8)

Use power reduction formulas:

1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))

Simplify:

1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))

1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)

1/2 − √2/4 − 1/8 (3 − 2√2)

1/2 − √2/4 − 3/8 +√2/4

1/2 − 3/8

1/8

7 0

3 years ago

What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly​

What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly