3 years ago

NEED HELP ASAP, WILL GIVE BRAINLIEST

Mathematics

1 answer:

dmitriy555 [2]3 years ago

6 0

Answer:

The answer is C. 35, 7

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What is the completely factored form of f(x)=x3+5x2+4x−6?

Gre4nikov [31]

$f(x)=x^3+5x^2+4x-6$
$f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)$

Synthetic division yields

-3 | 1   5   4   -6
.    |      -3 -6    6
- - - - - - - - - - - - -
.    | 1   2 -2    0

which translates to

$\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2$

with remainder 0. Now by the quadratic formula,

$x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3$

and so

$f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))$

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3 years ago

Guys please help me with this question

sashaice [31]

Answer:

Step-by-step explanation:

$\frac{g}{f} (x)=\frac{g(x)}{f(x)} \\=\frac{3x^2+x}{4x} \\=\frac{x(3x+1)}{4x} \\=\frac{3x+1}{4}$

8 0

3 years ago

ASAP <br><br> AND HOW DID YOU GET THE ANSWER <br><br> ( WILL MARK BRIANIST)

andrew11 [14]

Answer:

a 17

Step-by-step explanation:

20 + 5 - 8

8 0

2 years ago

Sally is a sales manager.She makes $73,000 a year.Sally has worked hard all year and receives a 6% raise.How much will sally mak

dolphi86 [110]

Answer:

$77,380

Step-by-step explanation:

If she gets a 6% raise next year she will make 106% of what she makes this year.

106% is 1.06 as a decimal. Multiply her salary by 1.06 to find out how much she will make next year...

$73,000(1.06) = $77,380

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3 years ago

Read 2 more answers

What’s the side of 200cm in a square

Artemon [7]

To find the length of a side of a square fins the square root of the area.

Area = 200 cm^2

Side = √200

Side = 10√2 (Exact length)

or 14.142 cm's ( round the decimal answer as needed.)

3 0

2 years ago