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vladimir1956 [14]
4 years ago
15

Factor completely. 15x^2y^2-3x^3y+75x^4

Mathematics
1 answer:
olga_2 [115]4 years ago
7 0
<span><span> 15x2y2+3x3y+75x4</span> </span>Final result :<span> 3x2 • (25x2 + xy + 5y2) </span>

Step by step solution :<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span><span> (((15•(x2))•(y2))+((3•(x3))•y))+(3•52x4) </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span><span> (((15•(x2))•(y2))+(3x3•y))+(3•52x4) </span><span> Step  3  :</span></span><span>Equation at the end of step  3  :</span><span> (((3•5x2) • y2) + 3x3y) + (3•52x4) </span><span>Step  4  :</span><span>Step  5  :</span>Pulling out like terms :

<span> 5.1 </span>    Pull out like factors :

  <span> 75x4 + 3x3y + 15x2y2</span>  =  <span> 3x2 • (25x2 + xy + 5y2)</span> 

Trying to factor a multi variable polynomial :

<span> 5.2 </span>   Factoring   <span> 25x2 + xy + 5y2</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Factorization fails

Final result :<span> 3x2 • (25x2 + xy + 5y2) </span><span>

</span>
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Answer:

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Step-by-step explanation:

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3 years ago
Please help me with this question
andrezito [222]

x+ x+6+ 5x =34

combine like terms

7x+6 = 34

subtract 6 from each side

7x+6-6 = 34-6

7x = 28

divide by 7

7x/7 = 28/7

x =4

x is cows


5times as many chickens as cows

chickens = 5x

chickens = 5*4 = 20

money for chickens = 20* 1.75 = 35.00

he made $35.00 for his chickens

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3 years ago
Answer in Detail !!! ✨
Marrrta [24]

Answer:

3300cm²

Step-by-step explanation:

30cm+30cm=60cm 60cm is the lengh of the whole joint structure.We will put it in the equation as "a".

heigh stays the same(10cm) because the pieces are not stacked one on top of the other.They are joined on their sides.We will put it as "c".

Widht also stays the same.its 15 cm and we will put it as letter "b".

So

a=60cm

b=15cm

c=10cm

We need to calculate the surface area of the entire joint structure.

1.First thing to do is to calculate the top part which is:

a*b=15*60=900cm²

2.The bootom side is the same 900cm².

3.The front side is:

a*c=60*10=600cm²

4.The back side is the same as front so it is 600cm².

5.The left side is:

c*b=10*15=150cm²

6.The right side is the same as the left and it is 150cm²

Now we just add it up.

S(surface)=900*2+600*2+150*2=3300cm²

If you want the whole exercise in one equation:

S=2*(a*b)+2*(a*c)+2*(b*c)

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3 years ago
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3 years ago
The linear model y equal 0.6 x plus 45 represents the number of pairs of sandals sold, y, for a given outdoor temperature of x d
Alexxx [7]

Answer:

99

Step-by-step explanation:

Given the linear equation:

y = 0.6x + 45

x = outdoor temping degrees ; y = number of pair of sandal sold

Number of pairs of sandals the company expect to sell if the outside temperature is 90 degrees?

y = 0.6(90) + 45

y = 54 + 45

y = 99

The expected number of sandals to sale will be 99

5 0
3 years ago
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