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4 years ago

1. Explain the process for combining like terms for 12x - 3y + 8 - 5x + 4y

Mathematics

1 answer:

Free_Kalibri [48]4 years ago

7 0

Answer: 7x+y+8

Step-by-step explanation:

Combining like terms is just like what it sounds. You take the like terms, or terms that have the same variables and such, and add them together.

For this problem, we can see that 12x and -5x are like terms because they both consist of a numerical coefficient and the variable x.

We can see that -3y and 4y are like terms because they both have a numerical coefficient and y for variable.

Now, we can combine like terms.

12x-3y+8-5x+4y [combine like terms]

7x+y+8

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3 years ago

Simplify. (-2u?+u-3)+(4u²+7u+5)

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Answer:

$2u^2+8u+2$

Step-by-step explanation:

$\left(-2u^2+u-3\right)+\left(4u^2+7u+5\right)$

$\blacksquare$ Remove parentheses:

$\longmapsto$ $-2u^2+u-3+4u^2+7u+5$

$\blacksquare$ Combine like terms:

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_______________________

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3 years ago

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Step-by-step explanation:

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If Alfie tosses the paper cup more times, what is the expected number of times that the cup will land on its side?

IRINA_888 [86]

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

Right side up = 60 Upside down = 53 Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

$Right = 60$

$Upside\ down = 53$

$Side = 37$

Required

First, we calculate the probability of landing on side

$P(Side) = \frac{n(Side)}{Total}$

$P(Side) = \frac{37}{150}$

$P(Side) = 0.247$

Next, we calculate the expected value; E(x) using:

$E(x) = n * P(x)$

When tossed 100 more times:

n = 100 and P(x) = P(Side) = 0.247

So:

$E(x) = 100 * 0.247$

$E(x) = 24.7$

$E(x) = 25$ --- approximated

Hence, it is expected that it will land on its side 25 times

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3 years ago