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sladkih [1.3K]
2 years ago
11

6x – 4 < –34 or 3x + 10 > 10

Mathematics
2 answers:
olganol [36]2 years ago
5 0
1. 6x-4< -34, or 3x+10 > 10. 

<span>6x-4 < -34. </span>
<span>6x < -34 + 4 </span>
<span>6x < -30 </span>
<span>X < -5. </span>

<span>3x + 10 > 10. </span>
<span>3x > 10 - 10 </span>
<span>3x > 0 </span>
<span>X > 0. </span>

<span>2. -2 <= 2x-4 < 4. </span>
<span>Add 4 to each end and the center: </span>
<span>-2 + 4<= 2x-4+4 < 4+4. </span>
<span>2 <= 2x < 8 </span>
<span>Divide each end and center by 2: </span>
<span>1 <= X < 4. </span>

<span>The compound inequality is actually 2 </span>
<span>inequalities and can be solved separately: </span>

<span>2x-4 => -2, and 2x-4 < 4. </span>

<span>2x-4 => -2. </span>
<span>2x => -2+4 </span>
<span>2x=> 2 </span>
<span>X => 1. </span>

<span>2x-4 < 4. </span>
<span>2x < 4+4 </span>
<span>2x < 8 </span>
<span>X < 4. </span>

<span>Solution: 1< = X < 4. or X => 1, and X<4 </span>

<span> TO CHECK: </span>

<span>1. Substitute any number < -5 for X. </span>
<span>Eq2: Subst. any number > 0 for X.</span>
kvv77 [185]2 years ago
5 0

Left side: x < -5

Right side: x > 0

Not sure if you want to graph it on a number line or a coordinate plane

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Q bisects PR, PQ=3y, and PR=42. Find y and QR.
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|PR| = |PQ| + |QR|; |PQ| = |QR| conclusion |PR| = 2|PQ|

|PQ| = 3y; |PR| = 42; |QR|=?

subtitute

42 = 2(3y)
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3 years ago
The sales tax rate in New Mexico is $5.125%.
madreJ [45]

Answer:

<em>The tax is $1.54 and the price after tax is $31.54</em>

Step-by-step explanation:

<u>Percentages</u>

The procedure to add a percentage ratio p to a given quantity q is:

* Calculate the increase as i = p*q/100

* Add the increase to the original quantity to get the final quantity f=q + i

It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.

* The increase (tax) is i = (5.125*30)/100 = $1.54

* The price after tax is f = $30 + $1.54 = $31.54

The tax is $1.54 and the price after tax is $31.54

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3 years ago
How do i find the area for number 4?
ankoles [38]
<h3>Answer:  41 cm^2</h3>

Explanation:

Form a horizontal line as shown below (see attached image). This forms 2 separate smaller rectangles

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You can say "square cm" or "sq cm" in place of the "cm^2".

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Read 2 more answers
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