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2 years ago

Expand each expression In 4y5/x2

Mathematics

2 answers:

exis [7]2 years ago

4 0

Answer: Answer B

Step-by-step explanation: Let's begin

Answer: B in 4 - 2 in x + 5 in y

nordsb [41]2 years ago

3 0

Answer:

$\ln 4 -2 \ln x +5 \ln y$

Step-by-step explanation:

$\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y$

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The number of teams who entered in a 3-on-3 charity basketball tournament can be modeled by function T, where x is the number of

Svetradugi [14.3K]

Answer:

<u>Option A:</u>

$R(x)=20x^2+300x+1080$

Explanation:

The revenue, R(x) is the product of the number of teams who entered the tournament, T(x), times the entry fee paid by each team, F(x); then you can write:

$R(x)=T(x)\times F(x)$

Thus you must multiply the two functions (polynomials):

$R(x)=(4x+24)\times (5x+45)$

Use distributive property:

$R(x)=(4x+24)\times (5x+45)=(4x)(5x)+(4x)(45)+(24)(5x)+(24)(45)$

Simplify:

$R(x)=(4x)(5x)+(4x)(45)+(24)(5x)+(24)(45)=20x^2+180x+120x+1080$

Add like terms:

$R(x)=20x^2+180x+120x+1080=20x^2+300x+1080$

3 0

3 years ago

a coffee machine dispenses 8 ounce cups automatically. The amount of coffee may vary by 3%. What are the least and greatest numb

Rudiy27

3% of 8 is 0.24

so, the max amount would be 8.24 ounces

the minimum amount would be 7.76 ounces

hope this helps!!

7 0

3 years ago

Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending power

balandron [24]

By synthetic division, the quotient (4x^2 -10x -24)/(2x +3) is 2x -8.

___
You have not actually said what division you want performed.

4 0

3 years ago

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A rectangular prism has a width of 51 ft and a volume of 144 ft3. Find the volume of a similar prism with a width of 17 ft. Roun

meriva

Answer:

$5.3\ ft^3$

Step-by-step explanation:

Similar shapes with scale factor $k$ have proportional volumes with coefficient $k^3$ i.e.

$\dfrac{V_{large}}{V_{small}}=k^3,$

where

$k=\dfrac{\text{width of large prism}}{\text{width of small prism}}.$

Since

$\text{width of large prism}=51\ ft,\\ \\\text{width of small prism}=17\ ft,$

then

$k=\dfrac{51}{17}=3.$

Hence,

$\dfrac{144}{V_{small}}=3^3\Rightarrow V_{small}=\dfrac{144}{27}=\dfrac{16}{3}=5\dfrac{1}{3}\approx 5.3\ ft^3.$

7 0

3 years ago

Based on its degree, what kind of polynomial is this?<br> h(x)=4x^4+2x-5

MissTica

To estimate the degree of a polynomial, you just have to take a look at the highest power in the expression. Since here, that is number 4, then it means that this polynomial is a fourth degree polynomial, or quartic polynomial, if you want to sound smart. :)

8 0

3 years ago

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