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3 years ago

What decimal is equivalent to the fraction and percent below?

Mathematics

2 answers:

hram777 [196]3 years ago

8 0

i think it would be 0.1 or 0.10

REY [17]3 years ago

6 0

.10 if it’s out of 1

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Find all solutions to x³+3x² − 9x − 27 = 0 by factoring the equation.

SCORPION-xisa [38]

Answer:

The solutions are $x=-3,\:x=3$

Step-by-step explanation:

To factor this cubic polynomial $x^3+3x^2-9x-27$ you must:

Group the polynomial into two sections

$x^3+3x^2-9x-27=\left(x^3+3x^2\right)+\left(-9x-27\right)$

Factor out -9 from $(-9x-27)$

$(-9x-27)=-9\left(x+3\right)$

Factor out $x^2$ from $(x^3+3x^2)$

$(x^3+3x^2)=x^2\left(x+3\right)$

$x^3+3x^2-9x-27=-9\left(x+3\right)+x^2\left(x+3\right)$

Factor out common term $x+3$

$-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)$

$x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)$

Factor $x^2-9$

$x^2-9=\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0$

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

$x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}$

The solutions are

$x=-3,\:x=3$

3 0

3 years ago

Which equation is equivalent to x2+16x+4=0

Daniel [21]

Answer:

(x+8)^2 - 60 = 0

Step-by-step explanation:

x^2 + 16x + 4 = 0

x^2 + 16x + 64 - 60 = 0

(x + 8)^2 - 60 = 0

8 0

3 years ago

there are 9 boys in a class of 14 students. a)what is the ratio of boys to girls. b) what is the ratio of girls to all students

ElenaW [278]

Answer:

a). 9 to 5

b). 5 to 14

Step-by-step explanation:

If there are 9 boys then there are 5 girls because 14 - 9 = 5.

So, there are 5 girls of 14 students in the class.

4 0

3 years ago

How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?

Sedbober [7]

Answer:

Possible outcomes = 6

Step-by-step explanation:

Since the spinner is divided into red, yellow, orange, purple, blue and pink

Total of 6 colors.

3 0

2 years ago

PLEASE HELP ME MATH URGENT

slega [8]

S answer is no for the question

7 0

3 years ago