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Delvig [45]
3 years ago
14

Please answer this question​

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
5 0

Answer:

3

Step-by-step explanation:

log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\

therefore,

\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3

however, since logarithms cannot have negative arguments, x can only be +3

i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.

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Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get
attashe74 [19]
Just do the whole process backwards
700*0.01=7
7-2.84=4.16
4.16/0.8=5.2
5.2+1.05=6.25
8 0
3 years ago
Javon won Indianapolis 500 race in 2011 with an average speed of 170.265 miles per hour. What was his average speed to the neare
KengaRu [80]

Answer:

170.3 miles per hour

Step-by-step explanation:

Javon won Indianapolis 500 race in 2011 with an average speed of 170.265 miles per hour. What was his average speed to the nearest tenth of a mile per hour?

From the above question, we are asked to approximate to the nearest tenth of a mile.

The number that falls under the tenth of a mile, is the number that is immediately after the decimal.

Hence, for:

170.265 miles per hour:

2 is the number in the tenth place, the number after 2 is 6, it is a number that is higher than 5. So we add 1 to 2

Therefore,

170.265 miles per hour to the nearest tenth of a mile = 170.3 miles per hour.

nearest

3 0
3 years ago
Mark scored 3
TEA [102]

Answer:

15

Step-by-step explanation:

2 times 4 is 8 minus 2 equals 6- Nia's Score

2 times 6 is 12 plus 3 equals 15- Mark's Score

<h2><em><u>xoxo,</u></em></h2><h2><em><u>your highness...</u></em></h2>
4 0
3 years ago
Read 2 more answers
Himpunan penyelesaian pertidaksamaan nilai mutlak |2x-4| &gt; |3x+2|
Stells [14]

Answer:

The solution in interval notation is:

(-6,\frac{2}{5}).

The solution in inequality notation is:

-6.

Step-by-step explanation:

I think you are asking how to solve this for x.

Keep in mind |x|=\sqrt{x^2}.

|2x-4|>|3x+2|

\sqrt{(2x-4)^2}>\sqrt{(3x+2)^2}

If \sqrt{u}>\sqrt{v} then u>v.

(2x-4)^2>(3x+2)^2

Subtract (2x-4)^2 on both sides:

0>(3x+2)^2-(2x-4)^2

Factor the difference of squares a^2-b^2=(a-b)(a+b):

0>((3x+2)-(2x-4))((3x+2)+(2x-4))

Simplify inside the factors:

0>(x+6)(5x-2)

(x+6)(5x-2)

The left hand side is a parabola that faces up.  I know this because the degree is 2.  

The zeros of the the parabola are at x=-6 and x=2/5.

We can solve x+6=0 and 5x-2=0 to reach that conclusion.

x+6=0

Subtract 6 on both sides:

x=-6

5x-2=0

Add 2 on both sides:

5x=2

Divide both sides by 5:

x=2/5

Since the parabola faces us and (x+6)(5x-2) then we are looking at the interval from x=-6 to x=2/5 as our solution.  That part is where the parabola is below the x-axis.  We are looking for where it is below since it says the where is the parabola<0.

The solution in interval notation is:

(-6,\frac{2}{5}).

The solution in inequality notation is:

-6.

6 0
4 years ago
Jamel and his sister received a total of $250 for their birthday. If Jamel received $30 less than his sister, how much did each
alexandr402 [8]

Answer:

Jamel - 110 Sister - 140

Step-by-step explanation:

We are going to work backwards. If Jamel received 30 dollars less than his sister, then the total goes down to $220. Then you divide by 2 to split the money between each equally. Now Jamel has $110 and his sister has $110. But you have to add the original $30 back to his sister's total because she got  $30 more. Hence Jamel has $110 and his sister has $140.

5 0
3 years ago
Read 2 more answers
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