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3 years ago

Simplify the expression(2x²y)^3

Mathematics

1 answer:

raketka [301]3 years ago

3 0

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3

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Express 5601 in scientific notation

Anna71 [15]

In scientific notation it is:5000+600+1

5 0

3 years ago

Fourth degree and a single zero of -3

Darya [45]

The degree of a polynomial is the highest power of the polynomial.

The polynomial is $\mathbf{P(x) = (x + 3)^4}$

The degree is given as:

$\mathbf{n = 4}$

The zero is given as:

$\mathbf{x = -3}$

Add 3 to both sides

$\mathbf{x + 3= 0}$

From the question, we understand that the polynomial has a single zero.

So, the polynomial is:

$\mathbf{P(x) = (x + 3)^n}$

Substitute 4 for n

$\mathbf{P(x) = (x + 3)^4}$

Hence, the polynomial is $\mathbf{P(x) = (x + 3)^4}$

Read more about polynomials at:

brainly.com/question/11536910

3 0

3 years ago

Jennifer has carpet in her square bedroom. She decides to also purchase carpet for her living room which is rectangular in shape

shtirl [24]

Answer/Step-by-step explanation:

Let's highlight the dimensions of the bedroom and living room using the information given in the question:

==>Squared Bedroom dimensions:

Side length = w = x ft

Area = x*x = x²

==>Rectangular living room dimensions:

width = side length of the squared bedroom = x

length = (x + 9) ft

Area = L*W = x*(x+9) = x² + 9x

Now let's match each given expression with what they represent:

==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"

As we have shown in the dimensions of the squared bedroom above.

==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room

==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"

i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.

==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".

i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x

7 0

3 years ago

Help I don't know how to do this<br>

Vilka [71]

Answer:

P(t) = 282.2(1.009)^t

Step-by-step explanation:

Look at the attached image.

Hope you can read my handwriting. the image cut off the right side, b = 1.009213324... but question asks to round to nearest thousandth so it's 1.009

For the second part just use the equation to find P when t = -1 and see if P is less than (underpredicts) the number from the question or greater than (overpredicts) the number. I haven't calculated it but I think it will be smaller and thus underpredicts just from looking at the numbers when t = -1

6 0

3 years ago

Pls help I’ll brainlest

Natali [406]

Answer:

C. 5.8 × $10^{-5}$

Step-by-step explanation:

0.000058

4 zeros

4 + 1 = 5

5.8 × 10⁻5

8 0

3 years ago