Consider the following frequency table representing the scores on a test.
1 answer:
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Answer:
72.25 ft
Step-by-step explanation:
The function that models the height of the ball is
The maximum height occurs at:
We substitute t=2.125 to get:
The maximum height is 72.25 feet
Answer:
Domain:— [ x ≥ -2, x ≤ -3 ]
Range:— [ y ≥ 0 ]
Step-by-step explanation:
You may use graphing calculator to draw a graph and examine the graph’s domain and range. However, I’ll explain further about the graph of quadratic in a surd.
First, factor the quadratic expression in the surd:—
We can find the x-intercepts by letting f(x) = 0.
I’ll be separating in two parts — one for finding x-intercept and one for finding y-intercept.
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Finding x-intercepts
Let f(x) = 0.
Solve for x, square both sides:—
Simply solve a quadratic equation:—
Therefore, x-intercepts are:—
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Finding y-intercept
Let x = 0.
Therefore, y-intercept is:—
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However, I want you to focus on x-intercepts instead. We know that the square root only gives you a positive value. That means the range of function can only be y ≥ 0.
For domain, first, we have to know how or what the graph looks like. You can input the function in a graphing calculator as you’ll see that when x ≥ -2, the graph heads to the right while/when x ≤ -3, the graph heads to the left. This means that the lesser value of x-intercept gets left and more value get right.
See, between -3 < x < -2, there is no curve, point or anything between the interval. Therefore, -3 < x < -2 does not exist in function.
Hence, the domain is:—
x ≥ -2, x ≤ -3
If the population was 40,000 at the beginning of 2009, at the end of 2009 it has increased by 10% and became 44,000.
By the same way, at the end of 2010, it became
At the end of 2011, the population was
By the same way, at the end of 2010, it became
At the end of 2011, the population was