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2 years ago

BRAINLIESTx + 4 > 8. If you need to solve for x, what's the first step?

Mathematics

2 answers:

statuscvo [17]2 years ago

6 0

Answer:

The final answer for the following equation is $x > 4$ .

Step-by-step explanation:

Solve the inequality:

$x + 4 >8$

-Subtract both sides by 4:

$x + 4 - 4 > 8 - 4$

$x > 4$

So, the final answer is $x > 4$ .

Darina [25.2K]2 years ago

5 0

Answer:

the first step is subtract 4 from both sides

x + 4 > 8

x + 4 - 4 > 8 - 4

Step-by-step explanation:

You might be interested in

Find two numbers, if their sum is 49 and their difference is 1/2 .

amm1812

Answer:

$x=24\frac{3}{4}\\ y=24\frac{1}{4}$

Step-by-step explanation:

Let the two numbers be x and y

So we have:

$x +y = 49\\x-y=\frac{1}{2}$

using the elimination method, add the two equations together:

$2x=49\frac{1}{2} \\2x=\frac{99}{2}$

solve for x:

$x=\frac{99}{4}\\x=24\frac{3}{4}$

substitute our value for x back into the first equation we made:

$x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}$

therefore,

$x=24\frac{3}{4}\\ y=24\frac{1}{4}$

6 0

2 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference: