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pantera1 [17]
3 years ago
7

Solve this proportion for x: (2x-3)x=2(x^2-6)

Mathematics
1 answer:
seropon [69]3 years ago
4 0
(2x - 3)x = 2(x² - 6)
<u>     +6                +6</u>
(2x + 3)x = 2(x²)
(2x)x + (3)x = 2x²
2x² + 3x = 2x²
<u>-2x²         -2x²</u>
         <u>3x</u> = <u>0</u>
          3     3
           x = 0

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Solve and show your work for each question a). B). C).
Andreyy89

Answer:

Step-by-step explanation:

a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48).                                   a

Use the formula s = sum of geometric series = -----------

                                                                                  1 - r

                                           0.48              48

which in this case is s = --------------- = ------------ = 48/99 = 16/33

                                          1 - 1/100        100 - 1

Check this result by finding 16/33 on a calculator.  Is the result equal to 0.484848484848.... ?  Yes

b) Here we have the bar over the 8 only.  0.48 with the bar over the 8 is equivalent to 0.4888888888 ...

                                                              0.08

or 0.4 + 0.0888888888 ...      or 0.4 + ------------

                                                                1 - 1/10

                                             

                                              0.08                       8

and this simplifies to 0.4 + ------------  =  0.4 + ---------

                                                9/10                      90

Evaluating this last result on a calculator results in 0.488888888 ...

c)  0.48 expressed as a fraction is  48/100 = 12/25

6 0
3 years ago
write in point slope form the equation of a line through (-3, 8) and (7, 6). A. y-6=1/5(x-7), B. y-8=-1/5(x+3), C. y-8=1/5(x=3)
Anna [14]
First you have to find the slope, the slope formula is m = y2 - y1/ x2 - x1

m = y2 - y1/ x2 - x1       (-3, 8)  (7, 6)
m = 6 - 8/ 7 - (-3)
m = -2/10
m = -1/5

point-slope formula;
y - y1 = m(x - x1)            m = -1/5   (-3, 8)
y - 8 = -1/5(x - (-3)
y - 8 = -1/5(x + 3)

so the answer is, B.

hope this helps, God bless!
4 0
3 years ago
What is the ratio of 30 divided by 4:2
klasskru [66]
4:2 can represented as 4 / 2. Or also 2.

30 / 2 = 15
7 0
3 years ago
PLEASE HELP ME FAST! Thank you!!
likoan [24]
X=26

This is because KM is equal to 104 and 104 divided by 4 (due to there being 3x and x)is equal to 26 and if you do 104 + 256 you will get 360
6 0
2 years ago
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRo
murzikaleks [220]

Answer:

\frac{5}{X^{2} } y^{2}

Step-by-step explanation:

sorry the Y isn't under the 5 anyway hope this helped

6 0
2 years ago
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