Answer:
<h3>
f(x) = 6(x - 2)² + 3</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
<u> f(x) = 6(x - 2)² + 3</u>
Answer:
Step-by-step explanation:
evolved=verb
from=preposition
british=noun if referring to a person that is British (That person is a British). adjective when referring to something from britain (british food/british person/british language)
it’s 60 cm^2 because you multiply base times height then divide by 2.
344 thousands times 1/10=34,400
Hello!
You can solve this algebraically
p + n = 115
p + 4.25n = 358.75
Subtract the two equations to eliminate p
-3.25n = -243.75
Divide both sides by -3.25
n = 75
Put n into the first equation
p + 75 = 115
Subtract 75 from both sides
p = 40
The answers are,
40 pounds of peanuts were sold
75 pounds of pecans were sold
Hope this helps!