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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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3 years ago
Factor completely, then place the answer in the proper location on the grid. <br> 6х^2 - 3х - 30
Tems11 [23]

Answer:

3(x + 2)(2x - 5)

Step-by-step explanation:

Given

6x² - 3x - 30 ← factor out 3 from each term

= 3(2x² - x - 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

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2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 5), thus

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6x² - 3x - 30

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7 0
3 years ago
Mrs Omar runs the school tennis club. She has a bin of tennis balls and rackets for every 5 tennis balls in the bin there are 5
Sav [38]

Answer:

x=y

Step-by-step explanation:

let x be the number of tennis balls and y the number of rackets.

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-Hence, for each one ball there is one racket, so;

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6 0
3 years ago
Read 2 more answers
Help needed ASAP plz
Hitman42 [59]
Hey there!

The x-intercept is where the line crosses the x-axis. The x-axis is horizontal. It crosses the line three left from the origin, or (0,0). This is -3. The x-intercept is -3. The answer would be either B or C. The line never hits the y-axis, so the y-intercept is none. The answer is C.

I hope this helps!
4 0
3 years ago
What is the value of the expression 2.6 x 10 to the power of 9 divided by 1.3 x 10 to the power of 2
bazaltina [42]
(2.6 * 10^9) / (1.3 * 10^2) =
(2.6 / 1.3) * (10^9) / (10^2) =
2 * 10^7 or 20,000,000 <===
7 0
3 years ago
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