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>
Answer:
hi sry i dont get what to write for an expression cause i dont have a number but i can tell you what to do! to find out what 15% of something is divide the number by 100 and the number you get after dividing multipy by 15 and you have you answer then all you have to do is put it in a expression!
Step-by-step explanation:
Answer:
20/97
Step-by-step explanation:
Since we are only looking at students in general that choose running, the question is more simple than it seems. We can ignore every phrase that is gender specific because it doesn't apply to our question. All we need to know is that there are:
97 students
36 who chose football
41 who chose tennis
And we just need to find the number that chose running
97-(36+41)=20
20 students chose running
20/97
Answer:
7/80
Step-by-step explanation:
(3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles
P ( green or yellow ) = number of green or yellow / total
= (3+4)/20 = 7/20
Replace
so we have (3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles
P (blue) = number of blue/ total
= 5/20 = 1/4
P ( green or yellow, replace, blue) = 7/20 * 1/4 = 7/80
Answer:
16
Step-by-step explanation: