Answer:f(x)=−4(x2−6x+9−9)−29
(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, −4(x − 3)2 + 7; The maximum height of the water is 7 feet.hopes this helps
<span>Amplitude: 3; period: pi/2; midline: y = 2</span>
Answer:
1 1\3
Step-by-step explanation:
4\3 = 1\3
your welcome
<h3><u>How to solve this problem?</u></h3>
The way I would solve this problem is by first finding the unit rate, or the rate that the jet plane travels in one minute. Then I would multiply the rate by the number of minutes I want to know how far the jet plane flies; in this case it would be multiplied by 18 minutes.
<h3><u>Finding the unit rate.</u></h3>
Let's start by finding the unit rate. To find the unit rate we would divide the ratio, 450 miles:60 minutes (one hour) by 60 minutes to make the 60 minutes become one minute and 450 miles become 7.5 miles.
450 miles:60 minutes ÷ 60/60
7.5 miles:1 minute
<h3><u>Solving the question.</u></h3>
The unit rate is 7.5 miles per minute. Since we know the jet plane flies 7.5 miles every one minute, we can multiply this amount by 18 minutes to find how many miles the place can fly in 18 minutes.
7.5 miles * 18 minutes = 135 miles
The answer to your question is the jet plane travels 135 miles in 18 minutes.
