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2 years ago

A fifth-degree polynomial with leading coefficient 4

1 answer:

3 0

Easy

leading coefiencet means highest power coefient

degree is the power of the highest exponent
5th degree and leading coefienct is 4

means highest exponet is 5 and the coefienct is 4

means any thing with 4x^5 such that there is no x^n where n>5

4x5 + 3x + 1 is the answer (2nd one)

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1. If A = {a, b, c, d}, B={c, d, e, f}, C={x, y, z} find (A-B)

vitfil [10]

Answer

here

A={a,b,c,d}

B={c,d,e,f}

C={x,y,z}

A-B={e,f}

8 0

1 year ago

Which expression is equivalent to *picture attached*

DiKsa [7]

Answer:

The correct option is;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$

Step-by-step explanation:

The given expression is presented as follows;

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )$

Which can be expanded into the following form;

$\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n$

From which we have;

$\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}$

$\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}$

Therefore, substituting the value of n = 50 we have;

$\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}$

$\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}$

Which gives;

$4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}$

$3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}$

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}$

Therefore, we have;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$ .

4 0

3 years ago

A professional volleyball player can jump an average of 2.5 times higher than the average person. If an an average person can ju

lions [1.4K]

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2 years ago

What was the baby horse's weight at an, age of 5 days A. 126 pounds B. 128 pounds C. 130 pounds D. 127 pounds

ANTONII [103]

<span>You would do 132-124 then divide the difference by two and add the dividend to 124 to get your answer </span>128 pounds

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3 years ago

A cylinder is sliced by a plane that is not parallel to the base

pickupchik [31]

I guess you are asking what is the shape of the cross section.

It will be an ellipse.

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3 years ago