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3 years ago

What is the value of x in the equation 2(x-4) = 4(2x + 1)?

Mathematics

1 answer:

Nonamiya [84]3 years ago

7 0

Answer:

a x=-2

Step-by-step explanation:

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

Distribute

2x-8 = 8x +4

Subtract 2x from each side

2x-2x-8 = 8x-2x +4

-8 = 6x+4

Subtract 4 from each side

-8-4 = 6x+4-4

-12 = 6x

Divide by 6

-12/6 = 6x/6

-2 =x

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Solve this equation using elimination: 4x-y=8;6x+y=2

fomenos

Solve simultaneously.

4x - y = 8
6x + y = 2

Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8

Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.

Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7

7 0

3 years ago

40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

7 0

3 years ago

1. What is the equation of the midline of the sinusoidal function?

Anna [14]

$5x + 5 = 100 \\ 5x = 100 - 5 \\ 5x = 95 \\ x = \frac{95}{5} \\ x = 19$

$\\ \\$

7 0

3 years ago

Read 2 more answers

Who is sacatoa joe in geometry

valkas [14]

I think that you are mistaking the memory tool for something else
or a math book is trying to make math cute by calling them 'socatoa joe' and 'mr. pi' and such

anyway, SOH, CAH, TOA is the way to remember
Sine=oposite/hypotonuse
Cosine=adjacent/hypotonuse
Tangent=oposite/adjacent

(oposite side=side oposite the angle
adjacent is the side touching the angle that is not they hypotonuse
and of course the hypotonuse is the longest side aka, side oposite right angle)

3 0

3 years ago

My number 4752512944

choli [55]

Answer:

no thanks for your number

Step-by-step explanation:

Have a great day

7 0

3 years ago