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3 years ago

Please Answer this question.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Answer:

The correct answer option is A. $\frac{x^{12}}{64}$ .

Step-by-step explanation:

We are given the following expression and we are to simplify it:

$( 4 x ^ { - 4 } ) ^ { - 3 }$

Distributing the power among the terms to get:

$4 ^ { - 3 } . 4 ^ { - 4 * - 3 }$

$4^{-3}.x^{12}$

$\frac{x^{12}}{4^3}$

$\frac { x ^ { 1 2 } } { 6 4 }$

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PIT_PIT [208]

17 because -17 is 17 units away from 0.

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3 years ago

Identify the quadratic function from the four functions

Alchen [17]

Quadratic Function is a function that takes the equation form of:

$\large \boxed{y = a {x}^{2} + bx + c}$

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

Vertex Form

$\large \boxed{y = a {(x - h)}^{2} + k}$

Intercept Form

$\large \boxed{y = (ax - b)(bx - c)}$

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

$\large{ \begin{cases}y = - {x}^{2} - 4 \\ y = {(x - 1)}^{2} - 7 \end{cases}}$

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
-x²-4 is in standard form.
(x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

Also let me know if you want me to convert the function into other form. For ex. convert the vertex form to standard form.

Happy Learning and Good Luck with your assignment!

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3 years ago

Melisa is throwing a birthday party for her son. She ordered 4 pizzas, she realizes that her son invited more people than she th

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Answer:

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3x would be the number of people that show up to the party times the number of pizza's needed plus the 4 she already ordered

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3 years ago

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Rina8888 [55]

Answer:

Standard Deviation, σ = 6.5828058860438

Step-by-step explanation:

Data Set: 20, 11, 27, 13, 29, 20

The total numbers in the data set

Count, N = 6

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1 year ago

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3 years ago

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