<h3>
Answer: Max height = 455.6 feet</h3>
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Explanation:
The general equation
y = ax^2 + bx + c
has the vertex (h,k) such that
h = -b/(2a)
In this case, a = -16 and b = 147. This means,
h = -b/(2a)
h = -147/(2*(-16))
h = 4.59375
The x coordinate of the vertex is x = 4.59375
Plug this into the original equation to find the y coordinate of the vertex.
y = -16x^2+147x+118
y = -16(4.59375)^2+147(4.59375)+118
y = 455.640625
The vertex is located at (h,k) = (4.59375, 455.640625)
The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet
The value of f is 348 pounds.
Given
At a big cat reserve, a male Bengal tiger weighs more than a female Bengal tiger.
The male tiger weighs 445 pounds.
The difference in the weight of the tigers is 97 pounds.
<h3>Difference;</h3>
The meaning of DIFFERENCE is the quality or state of being dissimilar or different.
The zookeeper created the bar diagram and the equation below is given as:

On solving the equation the value of f is;

Hence, the value of f is 348 pounds.
To know more about the differences click the link given below.
brainly.com/question/11572024
Y=mx+b m- slope b- y-intercept(where the line crosses the y axis)
31=.5(15)+b plug in your values
31=7.5+b simplify
23.5=b subtract 7.5 from both sides and your given b
y=.5x+23.5 plug everything into slope intercept form (y=mx+b)