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Andrew [12]
1 year ago
10

1/2 (x + 4) = 1/2x + 1

Mathematics
1 answer:
Mekhanik [1.2K]1 year ago
4 0

Simplifying the expression gives 0 = 6

<h3>What are algebraic expressions?</h3>

An algebraic expression is defined as an expression made up of variables and constants, with algebraic operations like addition, subtraction, and division.

Given the expression;

1/2 (x + 4) = 1/2x + 1

\frac{1}{2(x + 4)} = \frac{1}{2(x+ 1)}

cross multiply

2(x + 1) = 2(x+ 4)

Expand the bracket

2x + 2= 2x + 8

collect like terms

2x - 2x = 8 - 2

0 = 6

Thus, simplifying the expression gives 0 = 6

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

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One root of f(x) = 2x3 9x2 7x – 6 is –3. explain how to find the factors of the polynomial.
m_a_m_a [10]
<span>We have the following polynomial:

f(x)=2x^{3}+9x^{2}+7x-6

The problem states that one root is -3. Thus, it is true that (x+3) is a factor of the polynomial. Given that this is fulfilled, it is also true that:

</span>f(x)=(x+3)Q(x) \therefore Q(x)=\frac{f(x)}{x+3} \\ \\ where \ Q(x) \ has \ a \ degree \ of \ 2<span>

We can find Q(x) by applying Ruffini's rule, thus:

</span>\ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ 9 \ \ \ \ \ \ \ \ 7 \ \ \ \ \ \ -6  \\ -3 \\ \rule{50mm}{0.1mm} \\ \ {} \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ 3 \ \ \ \ \ -2 \ \ \ \ \ \ \ \ 0<span>

Therefore:

Q(x)=2x^{2}+3x-2

The roots of this polynomial can be get as follows:

x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \rightarrow x_{12}=\frac{-3\pm\sqrt{3^2-4(2)(-2)}}{2(2)}\\x_{1}=\frac{1}{2};\ x_{2}=-2

These are the roots along with -3. Finally, the factored polynomial can be written as follows:

f(x)=(x+3)(x+2)(2x-1)</span>
4 0
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<h2>The total number of items does he buy 5 (three pens and two notebooks).</h2>

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