Please help me with my math i am very confused

Mathematics

2 answers:

Mice21 [21]3 years ago

8 0

Answer:

Step-by-step explanation:

He is able to teach 3 classes per night.

asambeis [7]3 years ago

4 0

Answer: 3 lessons

Step-by-step explanation:

Your equation would be division. 4 1/2 divided by 1 1/2 would give you how many lessons could be completed in a night. 4 1/2 divided by 1 1/2 would be 3. You can check it by multiplying 1 1/2 by 3. 3 is the number of classes and 1 1/2 is how long each lesson is. Since 1 1/2 times 3 is 4 1/2, it would take 4 1/2 hours to complete 3 lessons.

Hope this helped

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Q1. The answer is <span>A. 5y^6
</span>
$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

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$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is <span>D. 12xy^2
</span>
$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
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Bad White [126]

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