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2 years ago

Determine which elements of S satisfy the inequality

Mathematics

1 answer:

kumpel [21]2 years ago

4 0

Answer:

The elements of S-block elements are 14, so therefore to create an inequality model we declare S to be the unknown variable.

therefore since we have 14 elements we use an inclusive class interval from 1-14. the model is given as

1≤S≥14

Step-by-step explanation:

you have to declare variables before for the unknowns.

you also declare the class interval to be inclusive class interval or exclusive class interval.

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Andrew [12]

The greatest common factor is the biggest number taken from the values.

Q1. The answer is <span>A. 5y^6
</span>
$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
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Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
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Q2. The answer is <span>D. 12xy^2
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$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
The greatest common factor is thus $12xy^{2}$

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3 years ago

F(x)= 2x^3- x^2 +x+ 1 is divided by 2x +1.

ololo11 [35]

Answer:

Step-by-step explanation:

x^2

--------------------------------------------------

2x + 1 / 2x^3 - x^2 + x + 1

2x^3 + x^2

-----------------------

0 + x + 1

x + 1

The quotient is x^2 + ------------

2x + 1

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2 years ago