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3 years ago

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Write an even number between 7 and 16 draw a picture and the write a sentence to explain why it is an even number

1 answer:

solniwko [45]3 years ago

4 0

<u>The even number I picked was 6, here is why it is an even number.</u>

<em>You can put each in even groups, without having one group be more or less then the other, if I picked an odd number like 7, one group would had more, and the other 2 groups would have less. </em>

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<em>Hope this helped, have a great day!</em>

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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

2 years ago

3.) a + 40 = 0 What is the value of a?<br> a =

Rus_ich [418]

Answer:

a= -40

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Express your answer as a polynomial in standard form.

andrezito [222]

I personally don’t know the answer so i can’t help

4 0

2 years ago

Find the coordinates of the midpoint AB. 1) ( -2,4), (4,0) THANK YOU!! And it's worth a lot of points if I get it right.

AnnyKZ [126]

-2+4 is 2/2 is (1,y)
4+0 divided by 2 is 2
coordinate is (1,2)

3 0

3 years ago

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins th

elena-s [515]

Hello!

You add the amount of sections have red or purple

2 + 2 = 4

Put this over the amount of sections

4 / 10 = 0.4

Multiply this by the amount of times he spins the spinner

180 * 0.4 = 72

The answer is about 72 times

Hope this helps!

8 0

3 years ago