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Shtirlitz [24]
1 year ago
13

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

+ 48y2 cubic units. Which could be the base area and height of the prism? a base area of 4y square units and height of 4y2 + 4y + 12 units a base area of 8y2 square units and height of y2 + 2y + 4 units a base area of 12y square units and height of 4y2 + 4y + 36 units a base area of 16y2 square units and height of y2 + y + 3 units
Mathematics
2 answers:
Komok [63]1 year ago
6 0
base 16y^2
height y^2 + y + 3
V = b*h
V = 16y^2(y^2 + y + 3)
V = 16y^4 + 16y^3 + 48y^2
Last option
Sliva [168]1 year ago
3 0

Answer:

<u>D! </u>

<u>a base area of 16y2 square units and height of y2 + y + 3 units</u>

<u></u>

<u />

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Which polynomial function could be represented by the graph below?
Svetllana [295]

Note that

1.

f(x)=x^3+x^2-6x=x(x^2+x-6)=x(x-2)(x+3)

The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.

2.

f(x)=x^3-x^2-6x=x(x^2-x-6)=x(x+2)(x-3)

The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.

3.

f(x)=-2x^3-2x^2+12x=-2x(x^2+x-6)=-2x(x-2)(x+3)

The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.

4.

f(x)=-2x^3+x^2+12x=-2x(x^2-x-6)=-2x(x+2)(x-3)

The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.

From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is   decreasing-increasing-decreasing.

Answer: correct choice is 3.

7 0
2 years ago
Read 2 more answers
the daily profit in dollars of a specialty cake shop is described by the function P(x)=-3x^2+168x-1920. Where x is the number of
forsale [732]

Answer:

28

Step-by-step explanation:

We have the following function:

f(x)=-3x^{2} +168x-1920

where a=-3, b=168 and c=-1920

In order to calculate the maxium profit for the company, and how many cakes should be prepared in order to reach it, we have to calculate where the parabola's vertex is ubicated. To do so, we use the following formula:

Xv= \frac{-b}{2a}

Xv= \frac{-168}{2.(-3)}

Xv= \frac{-168}{2.(-3)}

Xv= 28

So 28 cakes should be prepared per day in order to maximize profit.

7 0
1 year ago
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I set a goal to drink 64 ounces of water day.If i drink 10 1/3 ounces in the morning,15 1/2 ounces at noon,and 20 5/6 at dinner
Vedmedyk [2.9K]
First find how much you've had. Make the fractions with similar denominaters: 1/3(2)=2/6, 1/2(3)=3/6, 5/6(1)=5/6. Now add the fractions: 2/6+3/6+5/6=10/6 or 1 4/6 or 1 2/3. Then add the whole numbers: 10+15+20+1=46. So you've had 46 2/3 oz now subtract that from how much you need: 64-46 2/3= 63 3/3-46 2/3=17 1/3. You still need 17 1/3 water :)
6 0
1 year ago
my class collected 389 milk jugs. We used 40 jugs. We gave 30 milk to the first graders. how many milk jugs did we have?
BartSMP [9]
We will just do the following steps:-

389 - 40 = 349
349 - 30 = 319

So, in the end your class had 319 milk jugs left.

Hope I helped ya!! 
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The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.
Katarina [22]

Answer:

A. on edge 2020

Step-by-step explanation:

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