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Kruka [31]
3 years ago
9

ASAP! find the inverse of the function y=2x^2+2

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0

Answer:

\displaystyle y=\sqrt{\frac{1}{2}x -1}

Step-by-step explanation:

We want to find the inverse of the function:

y=2x^2+2

To find the inverse of a function, we will flip the variables and solve for <em>y</em>. So:

x=2y^2+2

Solve for <em>y</em>. Subtract two from both sides:

x-2=2y^2

Divide both sides by two:

\displaystyle y^2=\frac{1}{2}x-1

And take the principal square root of both sides. Therefore:

\displaystyle y=\sqrt{\frac{1}{2}x -1}

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3 years ago
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Kevin hired a moving company. The company charged $400 for its services, and Kevin gives the movers a 15% tip. How much does Kev
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15% = 0.15

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Step-by-step explanation:

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3 years ago
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Dennis and Connie purchased a radio for $128. Dennis paid $36 more than Connie. How much did each pay?
never [62]

Answer:

Dennis paid $82 and Connie paid $46.

Step-by-step explanation:

We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.

c + c + 36 = 128

Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128

Now, we can subtract 36 from each side,

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Divide each side by two,

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Now, to make sure this is correct, let's substitute our c for 46 in our equation:

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