I WILL GIVE BRAINLIEST Solve for r -13 = r/9 + 8 r=

Mathematics

2 answers:

ICE Princess25 [194]2 years ago

7 0

Answer:

-189

Step-by-step explanation:

seropon [69]2 years ago

4 0

Answer:

r= -45

Step-by-step explanation:

trust on this one

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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

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

3 0

2 years ago

If 3 is added to twice a number, the result is 17. Find the number

Crank

Answer:

Step-by-step explanation:

The text of this expression is:

"If 3 is added to twice a number, the result is 17. Find the number"

Let's call $x$ the number we want to find.