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amid [387]
2 years ago
12

Let x and y be inversely related such that y = 2 when x = 5. Find y when x = 15

Mathematics
2 answers:
amm18122 years ago
8 0

Answer:

y=2/3

Step-by-step explanation:

first make the equation to interpret the question

x=k/y

find the value of k, which is a constant

when x=5 and y=2

5=k/2

k=10.

hence, find y when x=15

x=k/y

x=10/y

15=10/y

cross multiply

15y=10

divide both sides by 15

y=10/15

y=2/3

Arturiano [62]2 years ago
5 0

Answer:

y would be 6

Step-by-step explanation:

Because 5 x 3 would be 15

then you would do 2 x 3 would be 6

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To simplify the function, we need to know some basic identities involving exponents.


1. b^(ax)=(b^x)^a=(b^a)^x

2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)


Now simplify f(x), where

f(x)=(1/3)*(81)^(3*x/4)

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=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]



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(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).


(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).

8 0
3 years ago
Which equation represents a line that passes through (–2, 4) and has a slope of 2/5
cupoosta [38]

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Hope this helps! :)

3 0
1 year ago
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Step-by-step explanation:

5 0
2 years ago
11. x squared - 7x = 0 12. 3x squared - 4x = 20x + 27
Stella [2.4K]
11. x² - 7x = 0
      x(x) - x(7) = 0
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      x = 0    or    x - 7 = 0
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Solution Set: {0, 7}

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           + 4x   + 4x
             3x² = 24x + 27
      3x² - 24x - 27 = 0
      x = -(-24) ± √((-24)² - 4(3)(-27))
                              2(3)
       x = 24 ± √(576 + 324)
                         6
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       x = 24 ± 30
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       x = 4 + 5    or    x = 4 - 5
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Solution Set: {9, -1}
8 0
3 years ago
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Step-by-step explanation:

4 0
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