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ch4aika [34]
3 years ago
14

Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).

Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer:

y = 3(2)^{x}

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = ab^{5} → (2)

Divide (2) by (1)

\frac{ab^5}{ab^2} = \frac{96}{12} , that is

b³ = 8 ( take the cube root of both sides )

b = \sqrt[3]{8} = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3(2)^{x} ← is the exponential function

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Answer:

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Step-by-step explanation:

Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction.  Also note that this formula MUST include "pi," symbolized by π.

V = (4/3) π r³  This formula does NOT include "m," which is a unit of measurement, not a variable.

Our task is to solve this formula for the radius, r.

Divide both sides by (4/3) π, to isolate r³.  This results in:

      v               (4/3) π r³

-------------   =  -----------------

  (4/3) π             (4/3) π

                     

                       V              3V

Then r³ = --------------  =  --------

                   (4/3) π           4π

and r is found by taking the cube root of the above result:

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4 0
3 years ago
Cual es la respuesta de la imagen adjunta
FrozenT [24]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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Step-by-step explanation:

The answer in the picture above

4 0
3 years ago
Three flavors of juice are offered at a school cafeteria The table shows the number of students who purchased each flavor during
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Step-by-step explanation:

Probability for any event = \dfrac{\text{Favorable outcomes for event}}{\text{Total possible outcomes}}

Three flavors of juice are offered at a school cafeteria.

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Total juices = 51+30+69 =150

Now, the probability that a student who bought juice chosen at random purchased the grape flavor= \dfrac{\text{Number of grape juices}}{\text{Total juices}}

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6 0
3 years ago
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olasank [31]

Answer:

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Step-by-step explanation:

hope it helps and please correct me if I'm wrong

3 0
3 years ago
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