The answer is: " 32a² − 24a − 8 " .
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Given:
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(8a − 8)(4a + 1) ; Let us expand this expression using the: "FOIL" method.
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"FOIL" stands for "<u>F</u>irst terms, <u>O</u>uter terms, <u> I</u>nner Terms, <u>L</u>ast Terms" ;
in that order.
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Basically:
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(a + b)(c + d) = ac + ad + bc + bd ;
in which the:
<u>F</u>irst term is: "ac" ;
<u>O</u>uter term is: "ad" ;
<u>I </u>nner term is: "bc" ;
<u>L</u>ast term is: "bd " .
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So; we have (given):
(8a − 8)(4a + 1) ;
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Let's take the "<u>F</u>irst, <u>O</u>uter, <u> </u><u>I</u>nner, and <u>L</u>ast terms" ; as follows:
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<u>F</u>: (8a)*(4a) = 32a² ;
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<u>O</u>: (8a)*(1) = 8a ;
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<u>I </u>: (-8)*(4a) = -32a ;
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<u>L</u>: (-8)*(1) = -8
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Now, let us write out these terms:
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32a² + 8a − 32a - 8 ;
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Now, combine the "like terms" in this expression; to simplify:
+ 8a − 32a = -24a ;
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and rewrite the simplified expression ; which is:
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32a² − 24a − 8 .
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A quadratic equation has the general formula
expressed as:<span>
ax^2 + bx - c = 0
This equation can be solved by the quadratic
formula which is expressed as:
x = ( -b (+ or -) √(b^2 - 4ac) / 2a
From the given equation, </span><span> y=-0.005x^2+0.41x-5.1
</span><span>
a = -0.005
b = 0.41
c = -5.1
Using the quadratic formula and the corresponding values of the coefficient, we substitute these and obtain:
</span>x = ( -b (+ or -) √(b^2 - 4ac) / 2a
x = ( -0.41 (+ or -) √(0.41^2 - 4(-0.005)(5.1)) / 2(-0.005)
x1 =66.71
x2 = 15.29
Therefore, the quadratic equation would be factored by using the values of x we obtained as follows:
<span>y= -0.005x^2 + 0.41x - 5.1
</span>y = (x - 66.71) ( x - 15.29 )
Answer- 3rd biggest state in the United States,
Answer:
The third one
Step-by-step explanation:
Equation of line passing through two points =
Now , we will find first equation of line which passes through (-4,4) and (-2,0) is :
The Second line which passes through (0,-4) and (2,-8) is :
So equation of line passing through (-4,4) , (-2,0) ,(0,-4) and (2,-8) is :(All points are collinear, so there will be unique line passing through these four points.)
2 x + y + 4=0