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3 years ago

Pls answer my module i give 10 pts for this

Mathematics

1 answer:

jeka943 years ago

5 0

Step-by-step explanation:

what is the problem here you don't understand ?

you understand the words "equality" and "inequality" ?

this is all about the question, if something is equal to something else or not - meaning of they are the same or at least the same size.

an expression without an equal ("=") or unequal sign ("<", ">", ">=", "<=", "<>" - if you don't understand these symbols, please ask, they are simply basic keyboard symbols for the scientific symbols) is not any form of that - no equality, and no inequality.

so,

1. is NOT

2. is NOT because it has an equality symbol

3. is a quadratic inequality (when doing the multiplication of both bracket terms, there will be an x×x=x² part) - it has a ">" (greater) symbol

4. is a quadratic inequality (there is a x² term as highest power of x included) - it has a "<=" (smaller or equal) symbol

5. is a quadratic inequality (there is a x² term as highest power of x included) - it has a ">" (greater) symbol

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Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o

ivolga24 [154]

$\bf (2x+3)^5\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^5(+3)^0\\
2&+5&(2x)^4(+3)^1\\
3&+10&(2x)^3(+3)^2\\
4&+10&(2x)^2(+3)^3\\
5&+5&(2x)^1(+3)^4\\
6&+1&(2x)^0(+3)^5
\end{array}$

as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0

for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

notice the first coefficient is always 1

so...how did we get 10 for the 3rd element? well, 5*4/2
how did we get 10 for the fourth element? well, 10*2/4

$\bf (2x-3y)^4\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^4(-3y)^0\\
2&+4&(2x)^3(-3y)^1\\
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5&+1&(2x)^0(-3y)^4
\end{array}$

$\bf (3a+4b)^8\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(3a)^8(+4b)^0\\
2&+8&(3a)^7(+4b)^1\\
3&+28&(3a)^6(+4b)^2\\
4&+56&(3a)^5(+4b)^3\\
5&+70&(3a)^4(+4b)^4\\
6&+56&(3a)^3(+4b)^5\\
7&+28&(3a)^2(+4b)^6\\
8&+8&(3a)^1(+4b)^7\\
9&+1&(3a)^0(+4b)^8
\end{array}$

and from there, you can simplify the elements of the expansion by combining the coefficients

like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶

7 0

3 years ago

Read 2 more answers

What is the amplitude of the sinusoidal function?

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Answer:

The amplitude of the sinusoidal function is 3

Step-by-step explanation:

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2 years ago

A new car is purchased for 23900 dollars. The value of the car depreciates at 14.25% per year. To the nearest tenth of a year, h

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Answer:

The value of the car will be 6100 dollars in 8.8 years

Step-by-step explanation:

Present value of car = $23900

The value of the car depreciates at 14.25% per year

Let x be no. of years in which the value of the car becomes 6100 dollars

Formula: $N(t)=N_0(1-r)^t$

Substitute the values :

$6100=23900(1-\frac{14.25}{100})^x\\\frac{6100}{23900}=(1-\frac{14.25}{100})^x\\x=8.8$

Hence the value of the car will be 6100 dollars in 8.8 years

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4 years ago

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3 years ago

Find which inequality statement is correct. A café used 15.75 pounds of flour on Monday and 15.57 pounds of flour on Tuesday. Wh

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Answer:

15.75 > 15.57

Step-by-step explanation:

1. 15.75 is greater than 15.57. ">" means greater than.

2. 15.75 < 15.57 is wrong because 15.75 is not less than 15.57

3. 15.75 does not equal 15.57. They are not equal numbers.

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3 years ago

Pls answer my module i give 10 pts for this​

Pls answer my module i give 10 pts for this