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x(1400 x+6)+2(2x+4)
The expression shown above can be expressed as
cx^(2)+kx+m, where
c,k, and mare constants. What is the value of
k ?

$x(1400 x+6)+2(2 x+4)$ $\newline$ The expression shown above can be expressed as $c x^{2}+k x+m$ , where $c, k$ , and mare constants. What is the value of $k$ ?

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Find the vertex of the transformed function

Full solution

Q.

x(1400 x+6)+2(2 x+4)

\newline

The expression shown above can be expressed as

c x^{2}+k x+m

, where

c, k

, and mare constants. What is the value of

k

?

Expand Expression: First, let's expand the expression $x(1400x + 6) + 2(2x + 4)$ .
$x \times 1400x = 1400x^2$
$x \times 6 = 6x$
$2 \times 2x = 4x$
$2 \times 4 = 8$
So, $x(1400x + 6) + 2(2x + 4) = 1400x^2 + 6x + 4x + 8$ .
Combine Like Terms: Now, let's combine like terms, specifically the $x$ terms. $6x + 4x = 10x$ So, the expression becomes $1400x^2 + 10x + 8$ .
Find Value of k: We can see that the coefficient of $x$ is $10$ . So, the value of $k$ is $10$ .

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