Step-by-step explanation:
x^2 + 8x + 0 = 0
Completing the square just means getting yourself a perfect square trinomial on the left side of your equation. It makes factoring easier for you. The steps are like this:
x² + 8x + 0 = 0 ... take the middle coefficient, 8, divide it by 2, and square it. Same process every time. Divide middle by two, square it. This gives you the "perfect square" of your equation. In this case, 8/2 = 4, and 4² = 16. So what you do is add 16 to BOTH sides of the equation.
x² + 8x + 16 = 16 ... factor the left side
(x + 4)(x + 4) = 16 ... notice that your two factors on the left are identical
(x + 4)² = 16 ... now we want to solve for x. Start by taking the square root of both sides
x + 4 = √16 ... √16 can give us two results: -4 and 4. So solve for both.
x + 4 = 4 x + 4 = -4 ... solve for x
x = 0, x = -8
If he has completed 3/5 he needs to go (1-3/5 ) 2/5 yet
4000* 2/5 =1600
He needs 1600 points
a)
f(x) is the same as y
y=1/3 x +4
<span>to find inverse, swap and x and y:
x=1/3 y + 4
x-4= 1/3 y
(x-4) x 3 = y
3x -12= y
the inverse(g(x)), is: 3x-12
b) </span><span>if f(x) and g(x) are inverses of each other, than </span><span><span> (f<span> о
</span><span>g)(x)</span></span> will end up with just "x"
</span>
<span>(f о
<span>g)(x)=x
</span></span><span>(f о
<span>g)(x)= f(g(x))
</span></span><span>(f о
<span>g)(x)= f(3x-12)
</span></span><span>(f о
<span>g)(x)= 1/3(3x-12)+4
</span></span><span>(f о
<span>g)(x)= (3x-12)/3 +4
</span></span><span>(f о
<span>g)(x)= x-4+4
</span></span><span>(f о
<span>g)(x)= x
</span></span>c)
<span>You will find that the graphs are mirror images of each other </span>
the graph for f(x) is an oblique line that passes through the
points(-12,4)
the graph for g(x) is an oblique line that passes
through the points(4,-12)
What the person said up above should be correct!
First you have to find 1/3 of the marbles. That means in the twelve marvels she has, there are three even groups. Divide twelve by three and you get four. So if each group is four, it is simple from here on out. If she started out with twelve and she lost 1/3 of them(4) it would be 12-4. You know this because lost is another for for subtract. 12-4=8. She has 8 marbles left.
