Answer:
<h3>
f(x) = 2(x - 6)² - 3 </h3>
Step-by-step explanation:
f(x) = a(x - h)² + k ← vertex form of parabola equation with vertex (h, k)
So:
f(x) = a(x - 6)² + (-3)
f(x) = a(x - 6)² - 3 ← vertex form of our parabola equation
Parabola goes through (8, 5) so if x=8 then f(x)=5
5 = a(8-6)² - 3
5 +3 = a(2)² - 3 +3
8 = 4a
a = 2
That means, the equation of a parabola with vertex (6, -3) and passing through the point (8, 5):
f(x) = 2(x - 6)² - 3
Lin's tour costs 5*14 +50 = 70 +50 = 120. Max's tour costs 120.
Neither tour costs less. Both have the same cost.
Let w be the width then w+4 is the length and 2*w+2*(w+4)=4*w+8 is the expression for the perimeter. So
4*w+8>=48
4*w>=40
w>=10
Answer:
3
Step-by-step explanation:
If figure A is half the size of figure B, then 1.5 x 2 = 3.