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3 years ago

I need to know how I can solve this math question , can you help me

Mathematics

1 answer:

Solnce55 [7]3 years ago

7 0

{ $y=-\frac{1}{4}x+5$
{ $y=x+2$

{ $y+\frac{1}{4}x=5$ $|*4$
{ $y-x=2$

{ $4y+x=20$
{ $y-x=2$
+______________
$5y=22$

{ $y=4\frac{2}{5}$
{ $4\frac{2}{5}-x=2$

{ $y=4\frac{2}{5}$
{ $x=2\frac{2}{5}$

:)

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General Formulas and Concepts:

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Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

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Step 2: Check/Identify

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Alright in this one, you are going to need to factor.
The width is x
The length is 2x-4
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so (2x-4)(x) when distributed is 2x^2 -4x

Then put that in the equation and you have:
2x^2 -4x = 96
2x^2 -4x -96 = 0

2x^2+12x-16x-96=0
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(3x-4)=0
(x+4)=0
x=-4
x=3/4
Since length isn't negative
we will use 3/4 as x.

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