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lesya [120]
4 years ago
15

(4x^3 - x^2 +4x) + (x^3 -x^2 - 4x)

Mathematics
1 answer:
madreJ [45]4 years ago
4 0

Answer:

5x³ - 2x²

Step-by-step explanation:

Step 1: Write out expression

4x³ - x² + 4x + x³ - x² - 4x

Step 2: Combine like terms (x³)

5x³ - x² + 4x - x² - 4x

Step 3: Combine like terms (x²)

5x³ - 2x² + 4x - 4x

Step 4: Combine like terms (x)

5x³ - 2x²

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The New Mexico Division of Fish and Wildlife keeps track of the silvery minnow population in the Rio Grande River. They tagged 5
sattari [20]

Answer:

279 silvery minnow

Step-by-step explanation:

Number of Silvery Minnows initially tagged = 54

Number of minnows captured = 62

Number of tagged minnows in captured ones = 12

Remember that in the very beginning there were no tagged minnows. 54 minnows were captured, tagged and released. This means, there are total 54 tagged minnows in the entire population. Lets say there are x number of minnows in total.

So, in x minnows, 54 are tagged ones.

When 62 minnows are captured, only 12 are tagged ones and remaining are un-tagged. Since, the minnows were randomly captured, we can develop a proportion from this case to estimate the total population of minnows in the Rio Grande River.

Ratio of tagged minnows to total population must be equal to the ratio of captured tagged minnows in total captured minnows.

i.e.

54 : x = 12 : 62\\\\ \frac{54}{x} = \frac{12}{62}\\\\ 62(54)=12x\\ \\ x = 279

This means, there were 279 silvery minnows in the Rio Grande River.

3 0
3 years ago
Rewrite the following expression with rational exponents. 3 sq root -27x^2 y^7<br> Show your work
andrew-mc [135]

Answer:

Step-by-step explanation:

The square root is possible only if y≤0

if y>0 the expression lose meaning, in fact (-)(+)(+) = (-) and a square root of a negative number doesn’t exist. x^2 is a square so it is ever positive if x is not 0

if y≤0 can be rewritten as:

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or if we want simplify the expression:

3 \sqrt{3^2 * (-3) * x^2 * y^6 * y} = 3^2|x||y|^3 (-3y) ^1/2

we have to put the symbol of absolute value between x and y because a x^2 and y^6 are numbers that are ever positive, while x and y^3 can be also negative. Thanks to the simbol of absolute value we can “force” them to be positive

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36% of ? is 18 36% of what number is 18
Alex777 [14]
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A coffee company ground up 547,736 coffee beans and distributed it evenly into 560 containers. How many coffee beans are in each
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Each good worker can paint my new house alone in 12 hours. Each bad worker can paint my house alone in 36 hours. I need my house
Oduvanchick [21]
In 3 hours, one good worker can paint one fourth of your house. Three good workers can thus paint three fourths of your house in three hours, leaving one fourth to be done by bad workers.

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