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3 years ago

Use the FOIL method to find the product. (x - 8)(x + 3)

1 answer:

8 0

Greetings and Happy Holidays!

FOIL stands for: First Outside Inside Last

FOIL is the order in which you would multiply (distributive property) the different terms:
$(x - 8)(x + 3)$

Multiply the First terms $(x)(x)$ :
$=x^2$

Multiply the Outside terms $(x)(3)$ :
$=x^2+3x$

Multiply the Inside terms $(-8)(x)$ :
$=x^2+3x-8x$

Multiply the Last terms $(-8)(3)$ :
$=x^2+3x-8x-24$

Simplify the expression:
$=x^2-5x-24$

The Answer Is:
$\boxed{=x^2-5x-24}$

I hope this helped!
-Benjamin

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Answer:

As per the statement:

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where

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then;

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For a quadratic equation: ax^2+bx+c=0 ......[1]

the solution for the equation is given by:

$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

On comparing the given equation with [1] we have;

a = -16 ,b = 80 and c = 300

then;

$t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}$

$t= \frac{-80\pm \sqrt{6400+19200}}{-32}$

$t= \frac{-80\pm \sqrt{25600}}{-32}$

Simplify:

$t = -\frac{5}{2}$ = -2.5 sec and $t = \frac{15}{2}$ = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

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