3 pineapples, 2 cabbages and 6 bananas cost a total of $27.

1 answer:

8 0

3p + 2c + 6b = 27
2p + 3c + 4b = 23
4p + 1c + 8b = 31
===============
take any 2 equations and eliminate a variable

3p + 2c + 6b = 27
4p + 1c + 8b = 31....multiply by -2
---------------------
3p + 2c + 6b = 27
-8p - 2c - 16b = - 62 (result of multiplying by -2)
--------------------add
-5p - 10b = - 35

Now take one equation, and the other equation that u have not used already, and eliminate the same variable.

4p + 1c + 8b = 31.....multiply by -3
2p + 3c + 4b = 23
---------------------
-12p - 3c - 24b = - 93 (result of multiplying by -3)
2p + 3c + 4b = 23
----------------------add
-10p - 20b = - 70

now take ur 2 equations that u eliminated the c in, and eliminate another variable

-5p - 10b = -35......multiply by -2
-10p - 20b = -70
---------------------
10p + 20b = 70 (result of multiplying by -2)
-10p - 20b = -70
-------------------add
0 = 0

when u get a result such as 0 = 0....this means there is infinite solutions to this problem

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What are the steps to (3w^3+7^2-4w+3) and (w+3)

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Trying to factor by pulling out :

3.2 Factoring: 3w3 + 7w2 - 4w + 3

Thoughtfully split the expression at hand into groups, each group having two terms :

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Group 2: 3w3 + 7w2

Pull out from each group separately :

Group 1: (-4w + 3) • (1) = (4w - 3) • (-1)
Group 2: (3w + 7) • (w2)

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The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(w) = 3w3 + 7w2 - 4w + 3
Polynomial Roots Calculator is a set of methods aimed at finding values of w for which F(w)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers w which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 3.

The factor(s) are:

of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,3

Let us test ....

P Q P/Q F(P/Q) Divisor -1 1 -1.00 11.00 -1 3 -0.33 5.00 -3 1 -3.00 -3.00 1 1 1.00 9.00 1 3 0.33 2.56 3 1 3.00 135.00

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

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 By : w + 3 ("Divisor")

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Final result : 3w3 + 7w2 - 4w + 3 over w + 3

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