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andreev551 [17]
2 years ago
5

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

Mathematics
1 answer:
AleksandrR [38]2 years ago
6 0

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a(b)^{x}

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = ab^{0} [ b^{0} = 1 ] , so

a = 3

y = 3(b)^{x}

Using (1, 12 ) , then

12 = 3b^{1} = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3(4)^{x} → A

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Answer:

first we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.

we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)

an = a1 + (n-1) * d

n = the term we want to find = 34

a1 = first term = 3

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now we sub

a34 = 3 + (34-1) * 6

a34 = 3 + (33 * 6)

a34 = 3 + 198

a34 = 201

now we use the sum formula

Sn = (n (a1 + an)) / 2

S34 = (34(3 + 201))/2

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The choir sells tickets to its performances for an assortment of prices and gives some tickets away. The choir
galina1969 [7]

The least square regression equation for the information provided is y = 9.72x - 40.776

<u>The general equation of a regression model can be expressed thus</u>:

  • y = bx + c

  • Slope, b = r(Sy/Sx)

Calculating slope, b :

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<u>Plugging the values of b, y and x into the equation in other to calculate c</u> :

696 = 9.72(75.8) + c

696 = 736.776 + c

c = 696 - 736.776

c = - 40.776

Therefore, the linear regression model can be expressed as : y = 9.72x - 40.776

Learn more :brainly.com/question/18405415

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Step-by-step explanation:

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