Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Look up the law of sines, I suggest Khan Academy. It is better if you know how to do it, it is very useful.
We have that
y = -5/8 x²- 3x + 4----> multiply by 8----> 8y=-5x²-24x+32
8y-32=-5x²-24x
Factor the leading coefficient
8y-32=-5*(x²+4.8x)
Complete the square Remember to balance the equation
by adding the same constants to each side.
8y-32=-5*(x²+4.8x+5.76-5.76)
8y-32-28.8=-5*(x²+4.8x+5.76)
8y-60.8=-5*(x+2.4)²
8*(y-7.6)=-5*(x+2.4)²
-(8/5)*(y-7.6)=(x+2.4)²
-(1.6)*(y-7.6)=(x+2.4)²
is a vertical parabola-----> open down
The standard form is (x - h)²<span> = 4p (y - k)
</span>
the vertex is the point (-2.4,7.6)
4p=-1.6
p=-1.6/4----> p=-0.40
<span>the directrix is
y= k - p-------> 7.6-(-0.40)----> y=7.6+0.40----> y=8
</span>
the answer isy=8
Answer:
=
- 12x- 11 + ![\frac{11x + 45}{x^2 + 3}](https://tex.z-dn.net/?f=%5Cfrac%7B11x%20%2B%2045%7D%7Bx%5E2%20%2B%203%7D)
Step-by-step explanation:
Using long division of polynomials tells us that the polynomial:
5x^4 - 12x^3 + 4x^2 - 25x + 12
can be divided by
x^2 + 3
to give us an answer of
- 12x- 11 + ![\frac{11x + 45}{x^2 + 3}](https://tex.z-dn.net/?f=%5Cfrac%7B11x%20%2B%2045%7D%7Bx%5E2%20%2B%203%7D)