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zysi [14]
2 years ago
5

Find the product of (4x − 3)(2x2 − 7x 1). 8x3 − 22x2 17x− 3 8x3 8x2 4x − 3 8x3 − 34x2 25x − 3 8x3 − 42x2 25x − 3.

Mathematics
1 answer:
Andrej [43]2 years ago
3 0

Product of two polynomials can be done by distribution of multiplication over addition. The product of  (4x -3)(2x^2 -7x + 1) is 8x^3 - 34x^2 + 25x - 3

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

(4x -3)(2x^2 -7x + 1) = 4x(2x^2 - 7x + 1) -3(2x^2 - 7x + 1)\\(4x -3)(2x^2 -7x + 1) = 8x^{1 + 2} - 28x^2 + 4x - 6x^2 + 21x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 + (-28-6)x^2 + (4 + 21)x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 - 34x^2 + 25x - 3

Thus,

The product of  (4x -3)(2x^2 -7x + 1) is 8x^3 - 34x^2 + 25x - 3

Learn more about polynomial product here;

brainly.com/question/9106484

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I need the percentage of the shaded area.
arsen [322]

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1.22

Step-by-step explanation:

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The building of the Blue Museum of Barcelona is triangular. Each side of the building is 180 m. How far do we have to travel to
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6 0
3 years ago
(Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=
Luda [366]

Answer:

The 99% confidence interval is  71.67 < \mu < 78.33

Step-by-step explanation:

From the question we are told that

     The sample  size  is  n  =  15

      The  sample  mean is  \= x  =  75

        The  standard deviation is  s =  5

 Given that confidence is  99%  then the level of significance is mathematically represented as

              \alpha  =  100 -  99

             \alpha  =  1\%

             \alpha  =  0.01

Next we obtain the critical values of  \frac{ \alpha }{2} from the normal distribution table

   The  value is

                  Z_{\frac{ \alpha }{2} } = 2.58

Generally the margin for error is mathematically represented as

            E =  Z_{\frac{ \alpha }{2} } *  \frac{ s}{ \sqrt{n} }

=>         E =  2.58  *  \frac{ 5}{ \sqrt{15} }

=>         E =  3.3307

   The  99% confidence interval is mathematically represented as

             \= x  -E  <  \mu  <  \= x  +E

=>          75 -  3.3307 <  \mu

=>          71.67 < \mu < 78.33

3 0
3 years ago
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