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shtirl [24]
3 years ago
6

Find the equation of the exponential function that passes through the points (- 1, 1/6) and (1, 2/3) and Use the form y = c * a

^ x and show how you find the values of and a. Show all work , not just the final equation.
Will give Brainliest to the right answer with steps

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

  • y = 1/3*2^x

Step-by-step explanation:

<u>Given function</u>

  • y = c*a^x

The points (-1, 1/6) and (1, 2/3) lie on the graph

<u>Substitute the values of x and y to get the system of equations:</u>

  • 1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c
  • 2/3 = c*a^1 ⇒ 2/3 = ac

<u>Substitute a and solve for c:</u>

  • 2/3 = 6c*c
  • 1/9 = c²
  • c = √1/9
  • c = 1/3

<u>Find a:</u>

  • a = 6c = 6*1/3 = 2

<u>The equation of the function:</u>

  • y = 1/3*2^x

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How can I use the percent equation???Ex.what number is 40% of 500???and can u solve this one,too.:45 is 25% of what number???THA
HACTEHA [7]
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percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200



if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1

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percent is out of 100 so 1%=1/100  25%=25/100
if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
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The following is extra
   as stated above 'of' can be taken as multiply so
   45 is 25% of 180 can be rewriten as
   45=25/100 times 180
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