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
Kipish [7]
3 years ago
14

How do you multiply these polynomials? 3xy^2(2y+4z)

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer:

6xy^3 +12xy^2 z

Step-by-step explanation:

3xy^2 (2y+4z)

Multiply

3xy^2 * 2y + 3xy^2 *4z

common factors

3xy^3 +3xy^2 *4z

Multiply

6xy^3 +12xy^2 z

You might be interested in
/// WORTH 70 points /// ASAP ////
belka [17]

A community is developing plans for a pool and hot tub. The community plans to form a swim team, so the pool must be built to certain dimensions. Answer the questions to identify possible dimensions of the deck around the pool and hot tub.


Part I: The dimensions of the pool are to be 25 yards by 9 yards. The deck will be the same width on all sides of the pool. Including the deck, the total pool area has a length of (x + 25) yards, and a width of (x + 9) yards.

Write an equation representing the total area of the pool and the pool deck. Use y to represent the total area. Hint: The area of a rectangle is length times width. (1 point)

y = (x+25)(x+9)


Rewrite the area equation in standard form. Hint: Use the FOIL method. (1 point)


y = x^2 + 9x + 25x + 9(25)


y = x^2 +34x + 225


Rewrite the equation from Part b in vertex form by completing the square. Hint: Move the constant to the other side, add to each side, rewrite the right side as a perfect square trinomial, and finally, isolate y. (4 points: 1 point for each step in the hint)


y-225 = x^2 +34x


y-225 + 17^2 = x^2 +34x + 17^2


y-225 + 289 = (x+17)^2


y = (x+17)^2 - 64


What is the vertex of the parabola? What are the x- and y-intercepts? Hint: Use your answer from Part a to identify the x-intercepts. Use your answer from Part b to identify the y-intercept. Use your answer from Part c to identify the vertex. (4 points: 1 point for each coordinate point)

The vertex is where the squared term is zero, x=-17 , y =-64, (-17,-64)


The y intercept is y at x=0, so (0,225)


The x intercepts are the zeros; so at x=-25 and x=-9, aka (-25,0), (-9,0)


Graph the parabola. Use the key features of the graph that you identified in Part d. (3 points)


[Plot the points we generated and connect the dots. I'll leave the graphing to you]

In this problem, only positive values of x make sense. Why? (1 point)

<em>x</em> is the width of the pool edge; it must be positive.


What point on your graph shows a total area that includes the pool but not the pool deck? (1 point)


x=0, y=225 i.e. (0,225)



The community decided on a pool area that adds 6 yards of pool deck to both the length and the width of the pool. What is the total area of the pool and deck when x = 6 yards? (2 points)


(9+6)(25+6)=15(31)=465



Part II: A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by x feet of deck on each side. The enclosed space is also square and has an area of 169 square feet. Find the width of the deck space around the hot tub, x.

Step 1: Write an equation for the area of the enclosed space in the form y = (side length)2. Hint: Don't forget to add x to each side of the hot tub. (1 point)



y=(x+6)(x+6)=(x+6)^2



Step 2: Substitute the area of the enclosed space for y in your equation. (1 point)


169 = (x+6)^2


Step 3: Solve your equation from Part b for x. (3 points)


x + 6 = \pm \sqrt{169}


x = -6&#10; \pm 13


x= 7 \quad \textrm{ or } \quad x= -19


Step 4: What is the width of the deck around the hot tub? Hint: One of the answers from Part c is not reasonable. (1 point)


Only the positive root works,


x=7 feet


5 0
3 years ago
Emily, Jean, and Amanda live in apartments on the 5th, 6th and 7th floors. One girl likes basketball, one likes football, and th
ss7ja [257]

Answer:

Assuming you mean baseball in stead of basketball, if must be the 5th floor.

Step-by-step explanation:

"The girl on the fifth floor thinks soccer is boring" implies that on the 5th floor lives the football or baseball fan. However, it cannot be the football fan since it is already known that she lives on 6th.

So the baseball fan, which is Jean, lives on 5th.

3 0
3 years ago
Find the volume for a can of corn with a diameter of 3 inches and a height of 6 inches
mixas84 [53]
The answer is D (42.39 cubic inches)
4 0
3 years ago
a machine fills 150 bottles of water every 8 minutes how many minutes will it take to fill 675 bottles?
disa [49]

Answer:

36 minutes

Step-by-step explanation:

150b / 8m = 18.75b/m       we want to know how many bottle of water per minute

675b/18.75b/m = 36m

6 0
3 years ago
A farmer plants apple trees on a on a 235-acre farm. There are 47,000 apple trees evenly dispersed throughout the farm. How many
Musya8 [376]

Answer:

There are 200 trees per acre.

Step-by-step explanation:

47000 trees divided by 235 acres gets you 200 trees per acre.

When you go back and check your work, 200 trees per acre times 235 acres equals 47000 trees.

I hope this helps! :)

8 0
3 years ago
Other questions:
  • A point G is 40m away from a building, which is 15m high. What is the angle of elevation to the top of the building from G?
    13·1 answer
  • Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value
    5·1 answer
  • The width of the rectangle shown below is 8 inches (in.). The length is 3 feet (ft.).
    13·2 answers
  • Solve the system of linear equations by substitution.<br><br> y−x=0<br> 2x−5y=9
    5·1 answer
  • Which rules define the function graphed below? (15 points cuz I'm stumped)
    6·1 answer
  • On a tree the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits i
    12·1 answer
  • In algebra, why do you think that you are given many problems to solve that aren't really "real life" problems? For example, "Tw
    9·2 answers
  • I can make eight quarts of lemonade in 1/5 hour. How much could I make in 3 hours?
    7·1 answer
  • (-7,-13)(0,-7) determine the slope given 2pts
    10·1 answer
  • Solve for x and y. Round to the nearest tenth.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!