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jonny [76]
3 years ago
6

" class="latex-formula"> + \frac{5}{16}
Mathematics
1 answer:
oee [108]3 years ago
5 0

\frac{3}{4}  +  \frac{5}{16}  \\  \\  \frac{12}{16}  +  \frac{5}{16} \\  \\  \frac{17}{16}
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If x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.
Alex17521 [72]

Answer:

x =7

Step-by-step explanation:

Remark

  • A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 ....
  • Each term is multiplied by a common number and the term before it. In this case the common term is 3.
  • To get the next term after 9, you multiply 9 by 3.
  • To get the common ratio divide the second term by the first and then the third term by the second

Equation

(x + 2)/(x - 4) = (3x + 6)/ (x + 2)

Solution

I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.

(x + 2)/(x - 4) = 3(x + 2)/ (x + 2)   Notice the two binomials on the right cancel.

  • (x + 2)/(x - 4) = 3/1                       Cross multiply
  • (x + 2)*1 = 3*(x - 4)                       Remove the brackets on the right.
  • x + 2 = 3x - 12                             Add 12 on both sides.
  • x + 2 + 12 = 3x - 12 + 12              Simplify
  • x + 14 = 3x                                  Subtract x from both sides
  • 14 = 3x - x
  • 2x = 14                                        Divide by 2
  • x = 14/2
  • x = 7
7 0
2 years ago
A student rewrote 4(3x+10) as 12x+10 what’s the erro<br> Need help plz
finlep [7]

Answer

12x+40

Step-by-step explanation:

when distributing, you have to multiply all numbers in the parentheses by the variable outside the parentheses

5 0
3 years ago
Read 2 more answers
Simplify to create an equivalent expression. <br><br>1+4(6p-9)<br><br>please help. ​
irinina [24]

Answer: 24p - 35

4 * 6p = 24p

4 * 9 = 36

1 + 29p - 36

-36 + 1 = -35

29p - 35

5 0
3 years ago
Simplify fraction 40/85
Leona [35]
Divide both the numerator and denominator by 5 and you get 8/17. your answer is 8/17.
7 0
3 years ago
80 pointss!!! Write the standard form for the scientific notation give below:
sasho [114]
2.32*103 = 2.39E3, or 2.39*10^3

This result is likely wrong because I first thought your 103 literally meant 103.  Now it seems that you meant 10^3 (10 to the third power).  So, ignore the above result and multiply again:  2.32*10^3.  This is already in scientific notation.

4.2*10^4 is already in scientific notation.

4.2*10^(-2) is already in scientific notation.

5700=1.7*10^3 (answer in scientific notation)

6548000= 6.55*10^(-6) (in scientific notation)
7 0
3 years ago
Read 2 more answers
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