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3 years ago

Who is good at math??

Mathematics

2 answers:

bezimeni [28]3 years ago

5 0

<h3>Answer: 4x+8z+6 (choice C)</h3>

====================================================

Explanation:

The x terms are 8x and -4x. They combine to 8x-4x = 4x

The z terms are 5z and 3z. They combine to 5z+3z = 8z

The 6 doesn't have anything to pair with it, so it just stays as is.

That's how we get to 4x+8z+6 as the answer.

--------

Here's one way to think about combining like terms.

Let's say x represents a box

1x = 1 box

2x = 2 boxes

3x = 3 boxes

and so on

So saying 8x means we have 8 boxes and -4x means we take 4 boxes away

(8 boxes) take away (4 boxes) = 4 boxes left

In shorthand we'd say,

8x - 4x = 4x

Similarly, we could have

1z = 1 zebra

2z = 2 zebras

etc.

Writing 5z+3z = 8z means we started with 5 zebras, added on 3 more, to get 8 total.

gtnhenbr [62]3 years ago

3 0

Answer: C. 4x+8z+6
Explanation: combined terms with the same variable behind them
8x-4x=4x
5z+3z=8z
Then 6 remains the same which would come together as 4x+8z+6

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3 years ago

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3 years ago

Divide 1/2÷2/3 Express the answer

Vsevolod [243]

Answer:

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Step-by-step explanation:

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3 years ago

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bearhunter [10]

The series is a convergence series and the sum of the series is -8/3

<h3>The type of the series</h3>

The series is given as:

$\sum\limits^{\infty}_{n = 1} -4(-\frac 12)^{n-1}$

The above series has the following properties:

First term; a = -4
Common ratio, r = -1/2

Start by calculating the absolute value of the common ratio

Absolute value = |-1/2|

This gives

Absolute value = 1/2

The above value is less than 1.

It means that the series converges.

<h3>The sum of the series</h3>

This is calculated using:

$S_{\infty} = \frac{a}{1 -r}$

So, we have:

$S_{\infty} = \frac{-4}{1 + \frac 12}$

Evaluate the sum

$S_{\infty} = \frac{-4}{\frac 32}$

Evaluate the quotient

$S_{\infty} = \frac{-8}{3}$

Hence, the sum of the series is -8/3

Read more about geometric series at:

brainly.com/question/24643676

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2 years ago

Consider the following cost function.

Makovka662 [10]

Answer:

a)Average cost function = $\bar{C(x)}=\frac{1000+0.1x}{x}$

Marginal cost function = $C'x=0.1$

b) $\bar{C(2000)}=0.6$

$C'(2000)=0.1$

c) $\bar{C(2000)}=0.6$ is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

Step-by-step explanation:

Cost function: $C(x) = 1000 + 0.1x$

a)Find the average cost and marginal cost functions.

Average cost function = $\bar{C(x)}=\frac{C(x)}{x}$

Average cost function = $\bar{C(x)}=\frac{1000+0.1x}{x}$

Marginal cost function = $C'x=0.1$

b) Determine the average and marginal cost when x = a.

a = 2000

Average cost function = $\bar{C(x)}=\frac{1000+0.1x}{x}=\frac{1000+0.1a}{a}=\frac{1000+0.1(2000)}{2000}=0.6$

So, $\bar{C(2000)}=0.6$

Marginal cost function = $C'(2000)=0.1$

c)Interpret the values obtained in part (b).

$\bar{C(2000)}=0.6$ is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

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4 years ago