Computer monitors are measured by length of the screens what is the save of the tv is the sides ar 38 and 28.5

A function is described by the equation f(x) = 2x + 3. The replacement set for the independent variable is (2,4,6,8). Which set

Anna11 [10]

<h3>Answer: {7, 11, 15, 19}</h3>

Write the values in the order shown. The curly braces indicate a set.

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Explanation:

The replacement set for the independent variable is {2,4,6,8}

This means we'll plug x = 2, x = 4, x = 6, and x = 8 into the function one at a time to find the corresponding y = f(x) value.

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Plug in x = 2 to find that,

f(x) = 2x+3

f(2) = 2*2+3 ... replace every x with 2

f(2) = 4+3

f(2) = 7

If the input is x = 2, then the output is y = 7. Therefore, the '2' in the domain corresponds to '7' in the range.

If you repeat those steps for x = 4, then you should find that f(4) = 11. Do the same thing for x = 6 and it should lead to y = 15. The last value in the range is y = 19 which corresponds to x = 8.

In short, the domain {2,4,6,8} corresponds to the range {7, 11, 15, 19}

Usually with sets, order doesn't matter. However, in this case, the order is important because we need to match the 2 with the 7, the 4 with the 11, etc.

6 0

3 years ago

What is the missing pattern 7, 11, 2, 18, -7

Alexxx [7]

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the <em>recurrence</em> formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

$n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the <em>recurrence</em> formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

To learn more on patterns: brainly.com/question/23136125

#SPJ1

8 0

2 years ago

List the first five multiples of 30

alisha [4.7K]

I guess this will help you

Step-by-step explanation:

30 , 60 , 90 , 120, 150

,LCM of 12 and 30 is 60

6 0

3 years ago