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fiasKO [112]
2 years ago
13

Solve this inequality and show the result on a number line.

Mathematics
2 answers:
MariettaO [177]2 years ago
8 0

\\ \bull\tt\longmapsto 5(x-2)\geqslant 4(x-2)

\\ \bull\tt\longmapsto 5x-10\geqslant 4x-8

\\ \bull\tt\longmapsto 5x-4x\geqslant -8+10

\\ \bull\tt\longmapsto x\geqslant 2

  • x is either 2 or greater than 2.
andrew11 [14]2 years ago
6 0

∙⟼5(x−2)⩾4(x−2)

∙⟼5x−10⩾4x−8

∙⟼5x−4x⩾−8+10

∙⟼x⩾2

x is either 2 or greater than 2.

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valentinak56 [21]

Answer:

It would be -x

Step-by-step explanation:

when you divide a positive by a negative you get a negative which singles out x.

-1x could be simplified down to just -x which singles out that answer too

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kifflom [539]

Answer:

C

Step-by-step explanation:

the answer for this question is

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3 years ago
Best answer gets the brainliest!<br> Find $a/b$ when $2\log{(a -2b)} = \log{a} + \log{b}$.
andrey2020 [161]

By some properties of logarithms, rewrite the equation as

2\log(a-2b) = \log(a) + \log(b) \\\\ \log(a-2b)^2 = \log(ab)

so that

(<em>a</em> - 2<em>b</em>)² = <em>ab</em>

Expand the left side:

<em>a</em> ² - 4<em>ab</em> + 4<em>b</em> ² = <em>ab</em>

Rearrange terms to get a quadratic equation in <em>a</em>/<em>b</em> :

<em>a</em> ² - 5<em>ab</em> + 4<em>b</em> ² = 0

<em>b</em> must be greater than 0, otherwise log(<em>b</em>) doesn't exist, and the same goes for <em>a</em>. So we can divide by <em>b</em> ² to get

<em>a</em> ²/<em>b</em> ² - 5<em>a</em>/<em>b</em> + 4 = 0

Factorize and solve for <em>a</em>/<em>b</em> :

(<em>a</em>/<em>b</em> - 4) (<em>a</em>/<em>b</em> - 1) = 0

==>   <em>a</em>/<em>b</em> = 4   or   <em>a</em>/<em>b</em> = 1

However, if <em>a</em>/<em>b</em> = 1, then <em>a</em> = <em>b</em> makes <em>a</em> - 2<em>b</em> = -<em>b</em>. But we must have <em>b</em> > 0, so we omit the second solution and end up with

<em>a</em>/<em>b</em> = 4

5 0
2 years ago
Diamond measured the base of a soda can and the diameter was 4 inches. What is the circumference of the bottom of the can?
boyakko [2]

Answer:

c)12.6 inches

the ans in cm is 31.9 cm

8 0
2 years ago
0.25 divided <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D" id="TexFormula1" title="\frac{1}{4}" alt="\frac{1}{4}" ali
kogti [31]

Answer:

it equals to 1 ive taken the test multiple times!!!

7 0
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