$x^2-4x=-2x+24 \\
x^2-4x+2x-24=0 \\
x^2-2x-24=0 \\
x^2-6x+4x-24=0 \\
x(x-6)+4(x-6)=0 \\
\boxed{(x+4)(x-6)=0} \hbox{ - factored equation} \\
(x+4)(x-6)=0 \\
x+4=0 \ \lor \ x-6=0 \\
x=-4 \ \lor \ x=6 \\
x=-4 \hbox{ or } x=6
$

5 0

4 years ago

Slope=2/3;y-intercept=-1 write the linear equation in slope -intercept form

Mnenie [13.5K]

Answer:

$\large\boxed{y=\dfrac{2}{3}x-1}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $\bold{m=\dfrac{2}{3}}$ , and the y-intercept b = -1.

Substitute:

$y=\dfrac{2}{3}x-1$

6 0

3 years ago

Evaluate and solve f(3)+f(0) when f (x) = 10x – 5

Monica [59]

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$f(x) = 10x - 5$

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$f(3) = 10(3) - 5$

$f(3) = 30 - 5$

$f(3) = 25$

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$f(0) = 10(0) - 5$

$f(0) = - 5$

##############################

$f(3) + f(0) = 25 - 5$

$f(3) + f(0) = 20$

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6 0

3 years ago