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3 years ago

What is the inverse of y = 2x^2 – 8?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

6 0

$y = 2x^2 - 8 \\ 2x^2 = y + 8 \\ x^2 = \frac{y+8}{2} \\ x = \sqrt{\frac{y+8}{2}} \\ f^{-1} (x)=\sqrt{\frac{x+8}{2}}$

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If a circle has a Diameter of 4m and a Radius of 4 units. Then what is Circumference and Area of the circle?

Fiesta28 [93]

Answer & Step-by-step explanation:

$Circumference=d\pi \\Area=r^2\pi$

The diameter of the circle is 8 m and the radius of the circle is 4 units. So, now we have to plug in the numbers so we can find the circumference and the area of the circle.

$Circumference=(8)\pi$

$Circumference=25.12$

So, the circumference of the circle is 25.12 m.

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$Area=16\pi$

$Area=50.24$

So, the area of the circle is 50.24 units².

3 0

3 years ago

The snack shop makes 3 mixes of nuts in the following proportions.

Julli [10]

Answer:

$A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}$

$B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

Step-by-step explanation:

It is given that the snack shop makes 3 mixes of nuts in the following proportions.

Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.

Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.

Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.

they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.

We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.

Mix I Mix II Mix III

peanuts 6 5 3

cashews 2 3 4

pecans 2 2 2

$A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}$

$B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

The product of both matrices is

$AB=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

$AB=\begin{bmatrix}6\cdot \:25+5\cdot \:18+3\cdot \:35\\ 2\cdot \:25+3\cdot \:18+4\cdot \:35\\ 2\cdot \:25+2\cdot \:18+3\cdot \:35\end{bmatrix}$

$AB=\begin{bmatrix}345\\ 244\\ 191\end{bmatrix}$

Therefore matrix AB gives the total number of lbs of each nut required to fill the order.

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3 years ago

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Butoxors [25]

I think it’s gonna be D

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steposvetlana [31]

66.) .... 1/6 > 1/5 > 1/4 > 1/3 > 1/2

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2 years ago

Read 2 more answers

What’s the answer and work for this?

sergeinik [125]

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3 years ago