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3 years ago

Question 3 Perform the indicated operations and express as a trinomial: (x + 4)(x - 2) + 3x

Mathematics

1 answer:

Sati [7]3 years ago

5 0

The expression after performing the indicated operation written as trinomial is:

$x^2+5x-8$

Step-by-step explanation:

Given

(x + 4)(x - 2) + 3x

We have to multiply (x + 4)(x - 2) and then add 3x to it

So,

$(x + 4)(x - 2) + 3x\\=[x(x-2)+4(x-2)]+3x\\= (x^2-2x+4x-8)+3x\\=x^2+2x-8+3x$

Combining alike terms

$=x^2+2x+3x-8\\=x^2+5x-8$

The expression after performing the indicated operation written as trinomial is:

$x^2+5x-8$

Keywords: Polynomials, Expressions

Learn more about polynomials at:

#LearnwithBrainly

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there are 11 apples in a basket 7 of these apples are green the rest of them are red what is the ratio of all apples in the bask

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egoroff_w [7]

A general linear equation is given by:

$y = a*x + b$

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

$y = 0.033*x + 1.269$

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

$a = \frac{1.7 - 1.5}{13 - 7} = 0.033$

So the linear equation is something like:

$y = 0.033*x + b$

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

$1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269$

Then the linear equation is:

$y = 0.033*x + 1.269$

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

$y = 0.033*48 + 1.269 = 2.853$

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

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