2/x=1/4 help me solve this

2 answers:

8 0

It is a linear equation with only one unknown, although it looks strange because of the fractions, so lets get rid of the fractions:
2/x = 1/4
(2/x) = (1/4)
4*(2/x) = 1
8/x = 1
8 = 1*x
x = 8
that is the solution

lord [1]4 years ago

6 0

/ mean division so you would take 2 divided by 8 to get 1/4

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Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term i

Olegator [25]

Answer:

-35/3, -140/3, - 560/3, -2240/3
7, -28, 112, - 448

Step-by-step explanation:

The terms are:

a₁, a₂, a₃, a₄

Given:

a₁ = a₂ + 35
a₃ = a₄ + 560

Use the nth term formula:

a₂ = a₁r
a₃ = a₁r²
a₄ = a₁r³

Substitute:

a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560

Divide the second equation by the first:

r² = 560/35
r² = 16
r = √16
r = ± 4

Use the first equation to find the first term:

a₁( 1 ± 4) = 35
1. a₁ = 35/-3 = -35/3
2. a₁ = 35/5 = 7

We have two sequences:

r = 4

-35/3, -140/3, - 560/3, -2240/3

r = -4

7, -28, 112, - 448

8 0

3 years ago

Determine the solution set of x2 - 80 = 0

meriva

   x² - 80 = 0
Add 80
to each side: x² = 80

Square root
each side: x    = √80

Look it up: x = + 8.944... (rounded)
   and
   x = - 8.944... (rounded).
___________________________________

Here's a cleaner solution:

   x² - 80 = 0
Add 80
to each side: x² = 80

Square root
each side: x    = √80

But 80 = 16 · 5

So √80 = √16 · √5

√16 = 4, so    x = 4 √5

8 0

3 years ago

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Anuta_ua [19.1K]

Answer:

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Step-by-step explanation:

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