MATHEMATICS MIDDLE SCHOOL

What is 6x^2 – 3х + 12 =

Answers

Answer 1

Answer:

Answer:

C. $3(2x^2 - x + 4)$

Step-by-step explanation:

You must find the GCF (Greatest Common Factor) that can be applied to all the terms.

In this case, you can only divide everything by 3:

$6x^2-3x+12\n3(2x^2-x+4)$

Answer 2

Answer:

Answer:

The answer is C because of distributive property. To check just multiply the number outside of the parenthesis by each number or variable inside the parenthesis.

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xavier jogs 3 7/10 miles to the baseball field stacey jogs 1 4/10 milesto the same field. how many more milesdoes xavier jogs than stacey

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21 fewer stars than three times a number h
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Explain why 2 x 3/8 is equivalent to 2 x 3 x 1/8 ?

Answers

If you put the 2 over 1 in 2 x 3/8 and multiply cross like normal fractions, you will get 6/8. This reduces to 3/4. Similarly, if you multiply 2 x 3, you get 6. Put the 6 over 1 and multiply by 1/8 to get 6/8 as an answer which reduces to 3/4 as well.

2x + 3 = 8

Transpose 3

2x + 3 - 3 = 8 - 3

2x = 5

Divide both sides of the equation by 2

2x / 2 = 5 / 2

x = 5 / 2

x = 2 1/2

Please Please Please Help in Questions 24 and 25!!!!! PLEASE!!!!

Answers

a, b and c are the zeros of a polynomial: w(x) = (x - a)(x - b)(x - c).

$24.\nw(x)=(x-6)[x-(-5-2i)][x-(-5+2i)]\n\nw(x)=(x-6)(x+5+2i)(x+5-2i)\n\nw(x)=(x-6)[(x+5)+2i][(x+5)-2i]\n\n\text{use}\ a^2-b^2=(a-b)(a+b)\n\nw(x)=(x-6)[(x+5)^2-(2i)^2]\n\n\text{use}\ (a+b)^2=a^2+2ab+b^2\ \text{and}\ (ab)^n=a^nb^n\n\nw(x)=(x-6)(x^2+2(x)(5)+5^2-2^2i^2)\n\nw(x)=(x-6)(x^2+10x+25-4(-1))\n\nw(x)=(x-6)(x^2+10x+25+4)$

$w(x)=(x-6)(x^2+10x+29)\n\n\text{use distributive property}\ a(b+c)=ab+ac\n\nw(x)=(x)(x^2)+(x)(10x)+(x)(29)+(-6)(x^2)+(-6)(10x)+(-6)(29)\n\nw(x)=x^3+10x^2+29x-6x^2-60x-174\n\n\text{combine like terms}\n\nw(x)=x^3+(10x^2-6x^2)+(29x-60x)-174\n\n\boxed{w(x)=x^3+4x^2-31x-174}$

$25.\nw(x)=(x-i)(x-(-i))(x-6i)(x-(-6i))\n\nw(x)=(x-i)(x+i)(x-6i)(x+6i)\n\n\text{use}\ a^2-b^2=(a-b)(a+b)\n\nw(x)=(x^2-i^2)(x^2-(6i)^2)\n\n\text{use}\ (ab)^n=a^nb^n\ \text{and}\ i^2=-1\n\nw(x)=(x^2-(-1))(x^2-6^2i^2)\n\nw(x)=(x^2+1)(x^2-36(-1))\n\nw(x)=(x^2+1)(x^2+36)\n\n\text{use distributive property}\ a(b+c)=ab+ac\n\nw(x)=(x^2)(x^2)+(x^2)(36)+(1)(x^2)+(1)(36)\n\nw(x)=x^4+36x^2+x^2+36\n\n\boxed{w(x)=x^4+37x^2+36}$

The students council is asking people to donate money for the new park outside the school. Everyone who makes the suggested donations amount will be given a bracelet. If everyone donates the suggested amount, b bracelets are given away, what algebraic expression represents the total amount collected in donations

Answers

Let each amount be y.

Since b bracelets were given away, it number of persons who made the amount = b.

Total = b*y

Total amount = by.

What is the rule of the following input-output table?in out
3/2 1
5 3 1/3

* they are fractions

Answers

input 3/2, output 1 input 5, output is 3 and 1/3 convert 3 and 1/3 to mixed for fun 3 and 1/3=10/3 3/2 outputs 1 5, output 10/3 3/2 times 2/3=1 lets try with 5 5 times 2/3=10/3 correct the rule is f(x)=(2/3)x aka y=(2/3)x

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