<img src="https://tex.z-dn.net/?f=3%20-%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20%3C%203%20" id="TexFormula1" title="3

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Assoli18 [71]

3 years ago

t; 3 " alt="3 - \frac{x}{2} < 3 " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Sergio [31]3 years ago

8 0

The first step for solving this is to cancel equal terms on both sides of the inequality.
$- \frac{x}{2}$ < 0
Now multiply both sides of the inequality by -2 and flip the inequality sign.
-2 × ( $- \frac{x}{2}$ ) > -2 × 0
Remember that multiplying two negatives together always equals a positive,, so the expression changes to the following:
2 × $\frac{x}{2}$ > -2 × 0
Reduce the numbers with 2.
x > -2 × 0
Any expression multiplied by 0 equals 0,, so the correct answer to your question will be:
x > 0
Let me know if you have any further questions.
:)

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Verify the identity 6cos^2(x) -3 = 3 - 6sin^2(x)

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Answer:

It is proved that $6\cos ^{2}x -3 = 3 - 6\sin ^{2} x$ .

Step-by-step explanation:

We already have the identity of x as $\sin ^{2}x + \cos ^{2}x = 1$ .......... (1) .

So, from equation (1) we can write that

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⇒ $6\cos ^{2}x -3 = 3 - 6\sin ^{2} x$

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3 years ago

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2. You bought items at Best Buy totaling $290.76. You have a 20%

vovangra [49]

Answer:

Discount = $290.76 × 0.2 = $58.15

Cost After Discount = $290.76 - $58.15 = $232.61

Sales Tax = 0.0625 × $232.61 = $14.56

How Much You Pay = $232.61 + $14.56 = $247.17

Step-by-step explanation:

Discount:

290.76 × 0.2* = 58.152

Round that to 58.15

* Turn 20% into a decimal (0.2)

Cost after Discount:

290.76 - 58.15 = 232.61

Sales Tax:

First turn 6.25 % into a decimal. Which would be 0.0625.

0.0625 × 232.61* = 14.556875

Then we round to the nearest hundredth and you get 14.56.

* We us the amount after the discount instead of the original price.

How much you pay:

232.61 + 14.56 = 247.17

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3 years ago

In the digram GH bisects FGI what is the answer for C.

zhannawk [14.2K]

The line GH bisects The triangle FGI meaning it divides it into two equal parts <em>(that is the definition if bisection); </em>therefore, the angles FGH and HGI are equal: