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3 years ago

Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?

Mathematics

2 answers:

maks197457 [2]3 years ago

3 0

Answer:

$f(x)=-x^{2} +8x-16$

Step-by-step explanation:

we know that

A polynomial function that has a leading coefficient of -1 and root 4 with multiplicity 2 is equal to

$f(x)=-(x-4)^{2}$

Expand the function

$f(x)=-(x^{2}-8x+16)\\ \\f(x)=-x^{2} +8x-16$

USPshnik [31]3 years ago

3 0

Answer:

its d

Step-by-step explanation:

its a fat d i just took test

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Alina [70]

Answer:

Step-by-step explanation:

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2 years ago

Implicit diffrention problems I am really stuck on

AysviL [449]

Answer:

$\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}$

Step-by-step explanation:

solving for dy/dx

multiply the equation out to remove parentheses

$x^4 + x^3y = 5xy^2 -y^3$

now differentiating in terms of x ( $\frac{dy}{dx}$ )

$4x^3 +3x^2y + x^3(\frac{dy}{dx} ) = 5y^2 + 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )$

isolating dy/dx to one side

$4x^3 +3x^2y - 5y^2= 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )-x^3(\frac{dy}{dx} )$

$4x^3 +3x^2y - 5y^2= \frac{dy}{dx}(10xy-3y^2-x^3)$

$\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}$

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3 years ago

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anygoal [31]

Answer:

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Step-by-step explanation:

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3 years ago

PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y).

goblinko [34]

Answer:

(4, - 4)

Step-by-step explanation:

Given system:

-x + y = 8
7x + 3y = - 16

Multiply the first equation by 7 and add up the equations:

-7x + 7y + 7x + 3y = 7*8 - 16
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Find y:

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2 years ago

Read 2 more answers

A company can buy packages of 500 sheets of paper for $4. At that rate, how much paper can be bought for $2000? Group of answer

Alexandra [31]

Your answer is 250,000. There are two ways to do this problem.

1) Solve 500/4 to find out how many sheets of paper you get per every dollar. — Your answer is 125 sheets for $1. Then you multiply that answer by 2000, and get 250,000. Which means you get 250,000 sheets of paper for $2000.

2) You can divide 2000 by 4 & that gets you 500, you can then multiply that by 500 & you will get 250,000.

Hope this helps.

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3 years ago