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777dan777 [17]
3 years ago
11

What are the x- and y-intercepts of the line with equation 4x + 5y = 40 ?

Mathematics
2 answers:
iren [92.7K]3 years ago
3 0

Answer:

x - intercept - ( 10 , 0)

y - intercept - (0 , 8)

Step-by-step explanation:

Diano4ka-milaya [45]3 years ago
3 0
X-intercept-(10,0)
Y-intercept-(0,8)
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Answer:

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Step-by-step explanation:

The question is asking you to solve ...

   y = f(x)

for x. (In other words, find the inverse function.)

You already did this using a constant for y. Do the same thing with y instead of the constant.

  y = 4(1.0256^x)

  y/4 = 1.0256^x . . . . . . . divide by 4

  log(y/4) = x·log(1.0256) . . . . . take logs

  log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x

Now, you have a model for x in terms of y, which is what the question is asking for.

  x = log(y/4)/log(1.0256) . . . . . . . exact expression

When y=12, this is ...

  x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks

_____

This is a linear equation in log(y), so can be written as such:

  x = 91.0912·log(y) -54.8424 . . . . . approximate expression

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