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3 years ago

On your last math quiz, you got 15

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

Answer: 75%

Step-by-step explanation: So 15/20 simplified is 3/4 and 3 divided by 4 equals 0.75. To convert a decimal to a percentage, you multiply 0.75 by 100 to get 75%.

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3 years ago

The ordered pairs (2, 20) and (3, 40) are solutions to an exponential function. Write the equation for this function.

weeeeeb [17]

Answer:

The exponential function will be $f(x) = 5(2)^{x}$

Step-by-step explanation:

Let the exponential function is given by $f(x) = a(b)^{x}$ ............ (1)

Now, ordered pairs (2,20) and (3,40) are the solution of the above exponential function. So, they will satisfy the equation.

Now, for the ordered pair (2,20) putting f(2) = 20, we get

$20 = a(b)^{2}$ ............. (2)

Again, for the ordered pair (3,40) putting f(3) = 40, we get

$40 = a(b)^{3}$ ............. (3)

Now, from equations (3) and equation (2) we get,

2 = b

⇒ b = 2.

Now, from equation (2) we get, $20 = a(2)^{2} = 4a$

⇒ a = 5

Therefore, the exponential function will be

$f(x) = 5(2)^{x}$ (Answer)

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