MATHEMATICS HIGH SCHOOL

Factoring the expression 20a^3b^3 – 24a^5b^2 + 4a^3b^2 gives a new expression of the formUa^xb^y (Wa^2 + Vb+ z), where U > 0.

What is the value of U?

What is the value of W?

What is the value of V?

What is the value of Z?

What is the value of x?

What is the value of y?

Answers

Answer 1
Answer:

Answer:

The value of U = 4

The value of W = -6

The value of V = 5

The value of Z = 1

The value of x = 3

The value of y =2

Step-by-step explanation:

Given:

20a³b³ – 24a⁵b² + 4a³b²

Solution:

Lets first factorize this expression:

20a³b³ – 24a⁵b² + 4a³b²

= −24a⁵b² + 20a³b³  +4a³b²

Taking  4a³b² common

= 4a³b² (−6a² + 5b + 1)   ___ (1)          

Now you can see this expression takes the form:

Ua^xb^y (Wa^2 + Vb+ z), where U > 0.

Ua^(x)b^(y) (Wa^(2) + Vb + z)

Now you can clearly see from (1)

The value of U is 4

The value of W is -6

The value of V is 5

The value of Z is 1

The value of x is 3

The value of y is 2

However if we take minus common from above equation:

20a³b³ – 24a⁵b² + 4a³b²

= −24a⁵b² + 20a³b³  +4a³b²

Taking  4a³b² common

= - 4a³b² (6a² - 5b - 1)   ___ (1)  

In this case the value of U is - 4, W is 6 , V is -5, Z is -1 , x is 3 and b is 2

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How do you solve this?

Answers

Well, their speeds are (V_1 is Jack's speed, and V_2 is Richard's.
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Answer:

In 7*5 = 35 days, Jack can paint 7 houses.

In 5*7 = 35 days, Richard can paint 5 houses.

So in 35 days, the two of them can paint 12 houses. To paint just one house, they'll need 1/12 the time, or 35/12 = 2 11/12 days.

Step-by-step explanation:

If two angles are both obtuse, the two angles are equal. What is the converse??

Answers

Answer:

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Step-by-step explanation:

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A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation, P(t)=2000(1.05)^t. What is the average rate of change in the number of mice between the second year and the fifth year, rounded to the nearest whole number?

Answers

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Answers

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Answers

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