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3 years ago

Simplify (9 ^ 2)/(9 ^ 7)

1 answer:

3 0

Simplify 9^2/9^7 into
1/9^5 <——that could be the simple answer. If to fully simplify it solve 9^5 which would give you
1/59049

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Distributive property (5x600) + (5x400) =

musickatia [10]

(5x600) + (5x400)
3000 + 2000
5000

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3 years ago

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Which statements are true about the expression that y +92 Choose ALL that apply.

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PLEASE ANSWER ASAP! SHOW ALL WORK! WILL GIVE BRAINLIEST!

Iteru [2.4K]

1) $x^2=x\cdot x$ , and $x(x+3)=x^2+3x$ . Subtracting this from the numerator gives a remainder of

$(x^2-13x-48)-(x^2+3x)=-16x-48$

$-16x=-16\cdot x$ , and $-16(x+3)=-16x-48$ . Subtracting this from the previous remainder gives a new remainder of

$(-16x-48)-(-16x-48)=0$

This means that

$\dfrac{x^2-13x-48}{x+3}=x-16$

2) $3x^3=3x^2\cdot x$ , and $3x^2(x+2)=3x^3+6x^2$ . Subtracting this from the numerator gives a remainder of

$(3x^3-x^2-7x+6)-(3x^3+6x^2)=-7x^2-7x+6$

$-7x^2=-7x\cdot x$ , and $-7x(x+2)=-7x^2-14x$ . Subtracting this from the previous remainder gives a new remainder of

$(-7x^2-7x+6)-(-7x^2-14x)=7x+6$

$7x=7\cdot x$ , and $7(x+2)=7x+14$ . Subtracting this from the previous remainder gives a new remainder of

$(7x+6)-(7x+14)=-8$

This means that

$\dfrac{3x^3-x^2-7x+6}{x+2}=3x^2-7x+7-\dfrac8{x+2}$

3) $x+2$ will be a factor of $x^3+3x^2-10x-24$ if dividing the latter by $x+2$ leaves a remainder of 0.

$x^3=x^2\cdot x$ , and $x^2(x+2)=x^3+2x^2$ . Subtracting this from the numerator gives a remainder of

$(x^3+3x^2-10x-24)-(x^3+2x^2)=x^2-10x-24$

$x^2=x\cdot x$ , and $x(x+2)=x^2+2x$ . Subtracting this from the previous remainder gives a new remainder of

$(x^2-10x-24)-(x^2+2x)=-12x-24$

$-12x=-12\cdot x$ , and $-12(x+2)=-12x-24$ . Subtracting this from the previous remainder gives a new remainder of

$(-12x-24)-(-12x-24)=0$

and since the remainder is 0, $x+2$ is indeed a factor of $x^3+3x^2-10x-24$ .

5 0

3 years ago

You put the names of all the students in your class in a paper bag there are 16 boys in eight teen girls of you draw a name at r

Lunna [17]

.4706 or 47.06%
you would add the boys and the girls and then divide divide the boys by the total student in the bag

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4 years ago

At the bank of a river, by measurement, a = 9 ft., b = 15 ft., c = 12 ft., and d = 7 ft.How long is x?

Orlov [11]

Answer: x is 20

Step-by-step explanation:

This is ratio

a : c = b : x and d : unknown

a : c = 9 : 12 = 3 : 4 which is 9/12

b : x = 15 : x which is 15 / x

So the proportion will be :

3/4 = 15/x

So Cross multiplying

3x = 90

Divide both side by 3

x = 90/3

x = 20

7 0

3 years ago