Answer:
-38, 62, -100
Step-by-step explanation:
I think you meant a +24, not the -24.
The recursive formula is a_n = a_(n-2) - a_(n-1)
so. we try this 3 times after the -24 term
a_3 = -4 = 2 - 6 = a_1 - a_2
...
a_6 = a_4 - a_5 = 10 - (-14) = 24
a_7 = a_5 - a_6 = -14 - (24) = -38
a_8 = a_6 - a_7 = 24 - (-38) = 62
a_9 = a_7 - a_8 = -38 - 62 = -100
a_10 = a_8 - a_9 = 62 - (-100) = 162
Hello,
Let 's a the width,
b the heigth
2a+b=80==>b=80-2a
Area=A(a,b)=a*b=a*(80-2a)
=-2a²+80a
=-2(a²-2*20a+20²-20²)
=-2(a-20)² +800
Area is maxi if a=20 and area max=800
Step-by-step explanation:
the general vertex form is
y = a(x - h)² + k
with (h, k) being the vertex of the curve.
after doing all the multiplications we get
y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k
now we have
y = x² + 24x + 124
and we can compare
ax² = x²
a = 1
-2ahx = -2hx = 24x
-2h = 24
h = 24/-2 = -12
ah² + k = 124
(-12)² + k = 124
144 + k = 124
k = -20
so, the vertex form is
y = (x + 12)² - 20
