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Natasha2012 [34]
3 years ago
15

Simplify: (3a – 4b)(a + b). . A.. 3a2– ab – 4b2. . B.. 3a2 – 7ab – 4b2. . C.. 3a2 – 12ab – 4b2. . D.. 3a2 + ab – 4b2.

Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0
To simplify the expression, we distribute terms accordingly. It is done as follows:

<span>(3a – 4b)(a + b)
3a</span>² + 3ab -4ab -4b²
3a² - ab -4b²

Therefore, the correct answer is option A, <span>3a^2– ab – 4b^2. 

Hope this answers the question. Have a nice day. Please feel free to ask more questions.</span>
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Determine whether the following statements are true and give an explanation or a counter example. a. The Trapezoid Rule is exact
Norma-Jean [14]

Answer:

statement is TRUE  

statement is FALSE  

statement is TRUE  

Step-by-step explanation:

(a)  

By using the Trapezoidal Rule, the definite integral can be computed by applying linear interpolating formula on each sub interval, and then sum-up them, to get the value of the integral  

So, in computing a definite integral of a linear function, the approximated value occurred by using Trapezoidal Rule is same as the area of the region.  Thus, the value of the definite integral of a linear function is exact, by using the Trapezoidal Rule.  

Therefore, the statement is TRUE  

(b) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.  

So, for the midpoint rule, the number of sub-intervals, n is increased by a factor of 3, then the error is decreased by a factor of 32 = 9, not 8. Therefore, the statement is FALSE  

(c) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.  

So, for the trapezoidal rule, the number of sub-internals, n is increased by a factor of 4. then the error is decreased by a factor of 42 = 16  

Therefore, the statement is TRUE  

3 0
3 years ago
The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entr
sukhopar [10]

Answer:

(  3x -2)

Step-by-step explanation:

6x^2 – 7x + 2

We know that the constant only has factors of 1 and 2

Since the middle term is negative we know that that we are subtracting

A negative times a negative is positive for the final term

A negative plus a negative is negative for the middle term

(   -1 ) (   -2)

We have to determine how to break up 6x^2

1x * 6x

2x*3x

3x*2x

6x*1x

We are given that one factor is 2x-1

(  2x -1 ) (   -2)

That means the other factor of 6x^2 is 3x  ( 2x*3x)

(  2x -1 ) (  3x -2)

8 0
3 years ago
Read 2 more answers
Please answer this i am begging you.
Alex17521 [72]
Mode: 3 as it comes up the most
7 0
3 years ago
a pack rat has 130 piglets and 110 books. She wants to maintain this ratio in her collection but needs to sell some of her items
bija089 [108]

The number of items she should sell from her collection is 24

<h3>How to determine the number of items she should sell from her collection?</h3>

From the question, we have the following parameters that can be used in our computation:

Ratio = Piglets : Books

For 130 piglets and 110 books, we have the following representations

Ratio = 130 : 110

Also, for 13 piglets, we have the following representations

Ratio = 13 : Books

Using the above as a guide, we have the following:

13 : Books = 130 : 110

This can also be rewritten as

Books : 13 = 110 : 130

Multiply the second ratio by 1/10

So. we have

Books : 13 = 11 : 13

By comparison, we have

Books = 11

So, the total items sold is

Items = 11 books + 13 piglets

Evaluate

Items = 24 items

Hence, the number of items is 24

Read more about ratios at

brainly.com/question/12024093

#SPJ1

6 0
1 year ago
What is 7392 dividedicated by 6
N76 [4]
7392/6 pluge into colculater you will get 1232
8 0
3 years ago
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