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4 years ago

Solve the equation: 3x - x + 4 = 4(2x +1)

Mathematics

2 answers:

pantera1 [17]4 years ago

8 0

Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

3x - x + 4 = 4(2x + 1)

Step 2: Solve for <em>x</em>

Distribute: 3x - x + 4 = 8x + 4
Combine like terms: 2x + 4 = 8x + 4
Subtract 2x on both sides: 4 = 6x + 4
Subtract 4 on both sides: 0 = 6x
Divide both sides by 6: x = 0

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

3(0) - 0 + 4 = 4(2(0) + 1)

4 = 4(1)

4 = 4

notka56 [123]4 years ago

3 0

Answer:

Step-by-step explanation:

3x - x + 4 = 4(2x +1)

2x + 4 = 8x + 4

2x - 8x = 4 - 4

-6x = 0

x = 0

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a. First five terms: 9,13,17,21,25

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c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

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For first 5 terms, we have to put n=1,2,...5,

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$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

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Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

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4 years ago

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lora16 [44]

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I hope it will help you a lot.

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3 years ago

Read 2 more answers

01.05 what is the slope intercept form equation of the line that's passing through (1,3) and (3,7)

Butoxors [25]

Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . To use this formula, you need two points and also, you need to assign these points to $x_{1}$ , $x_{2}$ , $y_{1}$ , and $y_{2}$ .

In this case, $x_{1}$ and $x_{1}$ is assigned to the ordered pair (1,3), while $x_{2}$ and $y_{2}$ is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

$\frac{7-3}{3-1} =\frac{4}{2} = 2$

The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

y = 2x + b (substitute)

3 = 2(1) + b (simplify)

3 = 2 + b (subtract 2 from both sides)

1 = b

The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

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