Below is the solution:
f(x)=−4(x2−6x+9−9)−29
<span> (</span>x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's
the equation we got by completing the square.
y=a(x−h)2+k
That's
the formula of a parabola in "vertex" form. Notice the similarity?
The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, <span>−4(x − 3)2 + 7; The maximum height of the water is 7 feet.</span>
8.63 is the answer 4 doesn't round up
3 cookies per student
Multiply students x cookies per student
231 students x 3 cookies= 693 cookies
Since there are as many of these triangles as the polygon has sides (eight for an octagon), you have to multiply the area of this triangle by the number of sides. You will obtain the total area of the octagon: area of octagon = 8 * base * height / 2 = perimeter * apothem / 2 .
i hope this helped you :)
Answer:
10,088 pounds
Step-by-step explanation:
Given
103 bushels of apple
102 bushels of grape
101 bushels of oranges
Also weight of each bushel:
Apple = 32 pounds
Grape = 25 pounds
Oranges = 42 pounds
Total weight will be sum of product of each:
Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds