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jok3333 [9.3K]
3 years ago
9

What is the value of x? A. 3 B. 9 C. 15 D. 30

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

<em>C. 15</em>

Step-by-step explanation:

Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.

Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.

x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →

(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.

The last step is to do the basic algebra to find x:

3x = 5x – 30

–5x –5x

[5x will cancel when you subtract both sides by 5x]

-2x = -30

(-1) (-1)

[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]

2x = 30

÷2 ÷2

[divide both sides by 2 to simplify 2x to x]

x = 15

_____

You can also check that both sides are proportional because

5 → x

x = 15

5 → 15

3 → x – 6

x = 15

3 → 9

5 × <u>3</u> = 15

3 × <u>3</u> = 9

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Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

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n is the number of terms

On substituting, Tn = 4+(n-1)4

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Since the last term is 80, L = 4n

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This shows that the total number of terms in the sequence is 20

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4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

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Describe the position of the function below relative to the graph of the indicated basic function.
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From the given the option moved left 1 unit; reflected across the x axis is the correct.

what is function?

A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, and the set Y is known as the function's codomain.

We have to describe the position of the function f(x) = -2^x^+^1 relative to the basic function 2^x.

Let the parent function is 2^x.

After shifting one unit right it becomes, 2^x^+^1.

After reflection in x axis it  becomes, -2^x^+^1.

Hence, from the given the option moved left 1 unit; reflected across the x axis is the correct.

To know more about function, click on the link

brainly.com/question/25638609

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Step2247 [10]

Answer:

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Step-by-step explanation:

<em>the black lines would mean where the fractions and decimals are</em>

  • <em>Hope this helps</em>
  • <em>Hope this right </em>
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7 0
4 years ago
Read 2 more answers
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