4 years ago

How is the parent function y=x2 related to the given function Y=3(x+1)2?

1 answer:

6 0

Parent function: y = f(x) = x^2

given function: y = g(x) = 3 (x+1)^2

=> g(x) = 3 * f(x + 1)^2

So, from the point of view of graphs, the given function, g(x), is the parent function, f(x) = x^2, shifted one unit to the left and amplified by a factor of 3.

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If \$1000 is deposited into an account that earns 3.25\% simple interest per year, how much money will be in the account after 7

Andrei [34K]

<h3>Answer: 1227.50 dollars</h3>

======================================================

Explanation:

The simple interest formula to use is

A = P*(1+r*t)

where,

A = account value after t years (original deposit + interest)

P = 1000 = amount deposited (principal)

r = 0.0325 = annual interest rate in decimal form

t = 7 = number of years

So,

A = P*(1+r*t)

A = 1000*(1+0.0325*7)

A = 1227.50

Side note: you've earned A-P = 1227.50-1000 = 277.50 dollars in total interest

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3 years ago

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DIA [1.3K]

Answer:

Binomial distribution

Step-by-step explanation:

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Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

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3 years ago

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you

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Volume of cone formula: V = PI x r^2 x h/3

Volume of sphere formula: 4/3 x PI x r^3

Cone: 3.14 x 9^2 x 9/3 = 763.02 cubic inches

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Total volume : 1526.04 + 763.02 = 2289.1 cubic inches

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