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Mice21 [21]
3 years ago
7

Suppose x is a number such that 2x=x/2-6. Must it then be true that 3x=12. Explain your reasoning

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
8 0
2x = x/2 - 6.....multiply both sides by 2
4x = x - 12
4x - x = -12
3x = -12
x = -12/3
x = -4

3x = 12......3(-4) = 12.....-12 = 12...false......so 3x = 12 is not true because x = -4



strojnjashka [21]3 years ago
6 0
2x = x/2 - 6
6 + 2x = x/2
8x = x/2
x^2 = 8/2
x^2 = 4
x^2 - 4 = 0
(x - 2) (x + 2) = 0
x = 2 and x = -2

False

This is the actual right answer :) a teacher saw this :)
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You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95.
gayaneshka [121]

Answer: x > 75-69.95; you need five dollars and five cents more for free shipping ($5.05)

Step-by-step explanation: i believe this is the correct answer because as long as you have 75 dollars or more, then you will be good so that’s how i got the inequality. to find this you just subtract the amount needed (75) by the amount you have and you get your answer. oh and to be clear x represents the amount needed for free shipping. i am not sure if i understood the problem correctly so i apologize if it is incorrect. i hope this helped and good luck!

3 0
3 years ago
Square root of 75 plus square root of 3
olya-2409 [2.1K]
Answer:
6√3

Explanation:
Before we begin, remember the following:
\sqrt{a*b} = \sqrt{a}  *  \sqrt{b}
m \sqrt{a} + n \sqrt{a}  = (m+n) \sqrt{a}

Now, for the given:
75 can be written as 25*3
This means that:
\sqrt{75} = \sqrt{25*3}
Applying the above concept, we can find that:
\sqrt{75} = \sqrt{25*3} = \sqrt{25}  *  \sqrt{3}
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

8 0
3 years ago
Read 2 more answers
What is the volume of this box?<br> 4 in long<br> 12in high<br> 3in wide
Natali5045456 [20]

Answer:

<h2>144 in²</h2>

Step-by-step explanation:

Multiply the length, width and height to find the volume of the box

6 0
3 years ago
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Preston's salary before taxes are taken out is p dollars. After taxes taken out, Preston's take home salary is t dollars. If p =
Karolina [17]

Answer:

After\ Tax = \frac{p}{1.25}

Step-by-step explanation:

Given:

Before\ Tax =\$ p

After\ Tax =\$ t

p = 1.25t

Required

Determine his after tax salary in terms of p

To do this, we simply make t the subject in p = 1.25t

Divide both sides by 1.25

\frac{p}{1.25} = \frac{1.25t}{1.25}

\frac{p}{1.25} = t

t = \frac{p}{1.25}

Substitute p/1.25 for t in After\ Tax =\$ t

After\ Tax = \frac{p}{1.25}

7 0
3 years ago
A full glass of water can hold á of a bottle.
ikadub [295]

Answer:

2

Step-by-step explanation:

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