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tangare [24]
3 years ago
6

What is the slope of the line

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0
The slope of a line is the difference between the x-line and the y-line. Rise/run
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How do I solve this?
Readme [11.4K]

Answer:

  x ≈ -4.419

Step-by-step explanation:

Separate the constants from the exponentials and write the two exponentials as one. (This puts x in one place.) Then use logarithms.

  0 = 2^(x-1) -3^(x+1)

  3^(x+1) = 2^(x-1) . . . . . add 3^(x+1)

  3×3^x = (1/2)2^x . . . . .factor out the constants

  (3/2)^x = (1/2)/3 . . . . . divide by 3×2^x

Take the log:

  x·log(3/2) = log(1/6)

  x = log(1/6)/log(3/2) . . . . . divide by the coefficient of x

  x ≈ -4.419

_____

A graphing calculator is another tool that can be used to solve this. I find it the quickest and easiest.

_____

<em>Comment on alternate solution</em>

Once you get the exponential terms on opposite sides of the equal sign, you can take logs at that point, if you like. Then solve the resulting linear equation for x.

  (x+1)log(3) = (x-1)log(2)

  x=(log(2)+log(3))/(log(2)-log(3))

4 0
2 years ago
Madeline estimated the product of 3.56 and 8.3
ycow [4]

Answer:29.548

Step-by-step explanation:What i know is when they ask you for the product of something there asking you to multiply.  So 3.56 x 8.3

4 0
3 years ago
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It takes a softball team 2 hours to complete a game. How long will it take them to complete 3/4 of the game?
kolezko [41]

1 hour and a half. Every half hour is a quarter. So 3 half hours = 1 hours and a half. Hope this helps!

4 0
3 years ago
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Plsss help!! It’s due In 1 min plsss helppp !!!
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Answer:

55(?)

Step-by-step explanation:

I think it’s correct

4 0
3 years ago
What is the radius of a sphere with a volume of 41572 cm', to the nearest tenth of a<br> centimeter?
Ksenya-84 [330]

Answer:

21.5cm

Step-by-step explanation:

41,572=4/3*pi*r^3

Work backwards to solve for r

4 0
3 years ago
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