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2 years ago

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Please help me with questions 7&8!!!!

1 answer:

igomit [66]2 years ago

6 0

Number 7:
answer: a) odd
b) negative
explanation: let’s look at end behaviour. we know that all odd degree polynomials have opposite end behaviours, meaning that as x approaches negative infinity it will be in an opposite quadrant compared to when x is approaching positive infinity. Since x starts in Quad 2 and ends in Quad 4, we know it’s odd degree!! To figure out whether the leading coefficient is positive or negative, let’s look at what we already know about functions. Any odd function that has a positive leading coefficient will go from Quad 1 to Quad 3. Think about y = x^3 for example. Since this function goes from 2 to 4, the L.C. is negative.

number 8:
answer: a) even
b) negative

explanation: same logic as above but with even degree functions. Think about y = x^2 or x^4

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Eight people enter a tennis tournament which each person must play every other person exactly once Determine the number of games

LiRa [457]

Answer:

The answer is 28. Hope it helps :D

7 0

2 years ago

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago

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olga2289 [7]

Answer:

Step-by-step explanation5:

3 0

3 years ago

elena-s [515]

Answer:

12 in

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the scale factor of the enlarged frame is found by comparing the widths

original width : enlarged width = 2 : 6 = 1 : 3

That is 3 times the original width , then

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7 0

3 years ago

2) Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3 1/5 inches long and he put

Zanzabum

You would do 20 • 3=60 and the you would add 20 • 1/5=4 so, your total is 64in.

7 0

3 years ago