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2 years ago

Which number line represents the solutions to |–2x| = 4?

Mathematics

2 answers:

GenaCL600 [577]2 years ago

7 0

The third one is the correct choice because the solutions are 2 and -2

Andrew [12]2 years ago

4 0

The third one is the answer > passed it

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If 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4 <br><br><br><br>plzz answer this question...

solniwko [45]

Step-by-step explanation:

Here we are given that , the Value of

$3x - 2y = 9$
$27x^3 - 8y^3 = 1377$

And we need to find the prove that ,

$xy = 4$

We know a identity as ,

$(a-b)^3 = a^3-b^3-3ab(a-b)$

On cubing both sides of the given equation,

$(3x-2y)^3 = 9^3$

Simplify and then substitute ,

$27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729$

$1377 - 18xy (9) = 729$

$162xy = 1377-729$

$xy =\dfrac{648}{162}$

$xy = 4$

Hence Proved !

8 0

3 years ago

What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

GREYUIT [131]

ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
${x}^{2}.$

Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

$( {x}^{2} - 9)( {x}^{2} - 4) = 0$

Either

${x}^{2} - 9 = 0$
or

${x}^{2} - 4 = 0$

$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
$x = \pm3 \: or \: x = \pm2$

$x=-3,-2,2,3$

The correct answer is A

5 0

3 years ago

Read 2 more answers

A 6-ounce bag of raisins costs $2.46.An 8-ounce bag of raisins costs $3.20.Which is the better deal?

GenaCL600 [577]

So we need to compare them at the sam ounches

find the least common multiple (the smallest number that they will both multiply into)

first find the factors and group them all together, delete any repeats

6=2*3
8=2*2*2

least common multiple=2*2*2*3=24

so 6 bags=2.46
multiply by 4 to get 24
24 bags=9.84

so 8 bags=3.20
multply by 3
24 bags=9.60

9.84>9.60 so

the 8 ounce bag is less expensive

5 0

3 years ago

Read 2 more answers

HELP DISTRIBUTIVE PROPERTY QUADRATICS PLZZZZZZZ

Vlad1618 [11]

1: x² + 10x + 25
2: x² - x -12
3: -2x² + 10x
4: -2x² + 9x + 5
5: n² - 4
---------------------------
1: x² + 14x + 49
2: x² - 14x + 49
3: 4n² - 20n + 25
4: 4n² + 20n +25
5: you just have to switch the signs

4 0

3 years ago

Please help due soon!!!

il63 [147K]

Answer: 1,-1,-7

Step-by-step explanation:

-3-2(-2)= -3+4= 1

-3-2(-1)= -3+2= -1

-3-2(2)= -3-4= -7

6 0

3 years ago