1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
1. 3x + 12 = 8x - 18
Ray Of Light [21]

Answer:

  1. given
  2. addition property of equality
  3. addition property of equality
  4. division property of equality
  5. symmetric property of equality

Step-by-step explanation:

In step 2, -3x was added to both sides in accordance with the addition property of equality.

The same property lets you add 18 to both sides, as in step 3.

The division property of equality lets you divide both sides of the equation by 5. (Or, the multiplication property lets you multiply by 1/5.)

Swapping sides of the equal sign is allowed by the symmetric property of equality.

5 0
3 years ago
Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing th
Arturiano [62]

Answer:

  see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.

Step 7. Draw line PD parallel to m.

_____

The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.

5 0
3 years ago
Which of the following numbers can be expressed as repeating decimals? 3 over 7, 2 over 5, 3 over 4, 2 over 9
Maurinko [17]

Hello!

Let's think about the denominators we have. A seventh goes on forever in no specified order. A fifth an a fourth have set decimal values, 0.2 and 0.25, so they are not repeating decimals. A ninth is 0.111111..., it repeats like this forever in a specified order. Therefore, 2/9, or 0.222222...., would be a repeating decimal.

Therefore, our answer is \boxed {\frac{2}{9}}.

I hope this helps!

6 0
3 years ago
The graph shows time and distance traveled for two objects.
lianna [129]
C is the answer for the question
6 0
3 years ago
Read 2 more answers
Monica and Michael both want to buy a scooter. Monica has already saved $25 and plans to save $5 per week. Michael has $16 and p
Anna71 [15]

3 weeks

Step-by-step explanation:

To find the number of weeks, we have to equate the amount already saved and planned to save by both each week.

So we can write the expression as,

Let w be the number of weeks.

25 + 5w =16 + 8w

Grouping the terms as,

25 - 16 = 8w - 5w

9 = 3w

Dividing both sides by 3, we will get,

3w/3 = 9/3

 w = 3

So number of weeks = 3

5 0
3 years ago
Other questions:
  • Evaluate 3x+4(y+3) when x is 5 less than the quotient of y and 3, and y=18.
    11·1 answer
  • The registrar's office at ACC predicts that 30% of the 6,950 spaces open in various math classes will be filled
    13·1 answer
  • Help pls I need it <br>I will give brainiest ​
    9·1 answer
  • 5x - 5<br> ———<br> 5<br><br> Someone pls wxplain
    7·2 answers
  • If f(x) = (-3x - 6) + 10, find f(5)
    8·2 answers
  • Can you help me pls i have 1 day
    10·1 answer
  • Find the missing value.<br> Hint: Use the number line to find the missing value.<br> -8 = 6+ (blank)
    10·1 answer
  • Solve plssss vvvvvvvdhhdgd
    11·1 answer
  • How can I solve 6+4x3-2
    7·2 answers
  • O Here is a list of numbers:<br> 19, 4, 7, 2, 10, 5, 19, 2, 12<br> State the median.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!