Answer:
B. 3
Step-by-step explanation:
The degree of this polynomial is based on the highest power on the exponents (if there is more than one variable, it is based on the sum)
The highest power is 3, so the degree is 3
Answer:
(silk butterfly numerator )(butterfly denominator) 4cm/20cm = 1cm/5cm
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
<span><span>
2−<span><span>2<span>(12)</span></span><span>(3)</span></span></span>−53</span><span>
=<span><span>2−<span><span>(2)</span><span>(36)</span></span></span>−53</span></span><span>
=<span><span>2−72</span>−53</span></span><span>
=<span><span>−70</span>−53</span></span><span>
Answer : <span>−<span>123</span></span></span>