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Leni [432]
3 years ago
13

What is the product 3x5(2x2+4x+1)

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0

Answer:

6x^7+12x^6+3x^5

Step-by-step explanation:

The given expression is:

3x^5(2x^2+4x+1)

We expand the parenthesis using the distributive property to obtain;

3x^5(2x^2)+3x^5(4x)+3x^5(1)

Recall that;

a^m\imes a^n=a^{m+n}

We apply this property and multiply out the constant terms to obtain;

6x^7+12x^6+3x^5

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A cake decorator rolls a piece of stiff paper to form a cone. She cuts off the tip of the cone and uses it as a funnel to pour d
Nimfa-mama [501]

Answer:

Step-by-step explanation:

Use the formula for volume of a cone

V = 1/3 pi r^2 (h)

V = 1/3 pi 66^2 (18)

V= 1/3 pi 4356(18)

V = 1/3 pi 78408

V = 1/3 264,201.12

V = 82,067.04cm^3

5 0
2 years ago
How many solutions does the equation 3x+15=2x+10+x+5 have
sveticcg [70]

Answer:

Infinite

Step-by-step explanation:

3x+15=2x+10+x+5

grouping

3x+15=3x+15

If you have a equation where both sides are the exactly the same, the solutions are infinite. This is written as: x€ℝ

3 0
2 years ago
Simplified to create an equivalent expression<br><br> (2+2w)•4+9(w+3)=
ahrayia [7]

Answer:

17 w  +  35

Step-by-step explanation:

You get this answer by using PEMDAS.

5 0
2 years ago
Mario invests 1,500 in a savings account that earns 2% interest a year. He also plans to set aside $50 cash a month. A:2100(1.02
Sedbober [7]

Answer:

<em>1500(1.02)^x  +   600x</em> is how much he has in savings at the end of x years where it be in the bank or elsewhere

Step-by-step explanation:

x is in years

Let's just think about the investment of 1500 in an account earning 2% per year.

Before the years even start, you are at 1500 ( present value).

The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).

The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).

We keep multiplying factors of (1.02) each time.

So for year x, you would have saved 1500(1.02)^x.

Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year.  12(50)=600.  

So the first year you would have 600.

The second year you would have 600(2) or 1200.

The third year you would have 600(3) or 1800.

Let's put this together:

1500(1.02)^x  +   600x

4 0
3 years ago
Point LL is located at (4,5)(4,5) on the coordinate plane. Point LL is reflected over the yy-axis to create point L'L ′ . What o
Virty [35]

Answer:

(-4, 5)

Step-by-step explanation:

Since the pint is reflected over the y-axis, its y-coordinate remains the same.

Point (4, 5) has 4 as its x-coordinate. That is 4 units right of the y-axis. The reflection has -4 as its x-coordinate which is 4 units left of the y-axis.

Answer: (-4, 5)

8 0
3 years ago
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