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mr_godi [17]
3 years ago
13

Write the polynomials in standard form: (15–7xy^2)–(y^3–y^2x–15)

Mathematics
1 answer:
stepan [7]3 years ago
7 0
<h3>Answer:</h3>

-y³ -6y²x +30

<h3>Step-by-step explanation:</h3>

When parentheses are eliminated and the y variable placed first in each term, the expression simplifies to ...

... 15 -7y²x -y³ +y²x +15

Arranging like terms together, we have ...

... -y³ +y²x(-7 +1) +(15 +15)

... -y³ -6y²x +30

_____

The two different 3rd-degree terms can be expressed in either order. I have chosen to list the term with the largest exponent first. The expression could also be written with the same-degree terms in "lexicographical order", meaning the expression would be written ...

... -6xy² -y³ +30

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What is the value of x and the length of segment DE?
disa [49]

Answer:

x  = 6.6 and DE = 16.2

Step-by-step explanation:

The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.

Given

\frac{5}{9}= \frac{9}{(2x+3)}

Required

Find x

Length of DE

To find x, we need to first simplify the given equation

\frac{5}{9}= \frac{9}{(2x+3)}

Multiply both sides by 9(2x+3)

\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)

5(2x + 3) = 9(9)

10x + 15 = 81

Subtract 15 from both sides

10x + 15 - 15 = 81 - 15

10x  = 66

Divide both sides by 10

\frac{10x}{10}  = \frac{66}{10}

x  = \frac{66}{10}

x  = 6.6

From the attached;

DE = 2x + 3

Substitute 6.6 for x

DE = 2(6.6) + 3

DE = 13.2 + 3

DE = 16.2

Hence x  = 6.6 and DE = 16.2

3 0
3 years ago
How do I determine the 50th term for the sequence <br> -5, -1, 3, 7, 11
Mademuasel [1]
The sequence is going up by 4 so u have to multiply each term by four and the -5 is it’s 0th term as well it’s beginning so you have to input that in the equation as well
4(50) - 5 = 200 - 5 = 195
I’m not very good at explaining so I hope u get it
5 0
4 years ago
If x &gt; 0 and y &lt; 0, where is the point (x, y) located?
dlinn [17]

Answer:

Quadrant 4

Step-by-step explanation:

x > 0 means towards right of the origin

y < 0 means below the origin

So Quadrant 4

6 0
3 years ago
147 is 3/2 of an original amount. What is the original amount
Dovator [93]

Answer:

98

Step-by-step explanation:

147/3=49x2=98

8 0
3 years ago
When creating vases for the craft fair, Thomas used the proportion 3 pounds of clay is to 8 vases as 9 pounds of clay is to 24 v
spayn [35]
<span>The proportion of clay uses is 3/8 (Three Eighths). That is 3 lbs. of clay to every 8 vases. This is determined by the first given proportion 3 lbs./8 vases and confirmed by the second. To prove that is the case you divide the second ration by the first numerator: 9 divided by 3 = 3 and 24 divided by 3 = 8. So the proportion for 9/24 is still 3/8. This can also be used to increase the number of vases made. For example if 40 vases need to be made: we divide 40 by the numerator 8 = 5. So we need 5 portions of 3 to make 40 vases. 5 times 3 = 15. So the 15 lbs. of clay is needed for 40 vases.</span>
8 0
3 years ago
Read 2 more answers
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