The function is
we use the vertex form of the quadratic equation
We have given a graph,
<h3>What is the vertex form of the quadratic equation?</h3>
y = a(x - h)^2 + k.
Therefore the vertex of the given graph is
See the vertex at (-2, 5)
Since the general way to write the vertex is (h, k), we compare (h, k) to (-2, 5).
Now we have given that (-4,1) use this value in the above equation so we get,
Using the value of an in equation (1) we get,
Therefore the function is
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Answer:
= −21x−7
Step-by-step explanation:
−7(1+3x)
=(−7)(1+3x)
=(−7)(1)+(−7)(3x)
=−7−21x
= −21x−7
Answer:
undefined
Step-by-step explanation:
To find the slope between two points, we can use the slope formula. The slope formula is:
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (5, 4) and (5, 9) for (x₁, y₁) and (x₂, y₂) respectively, we get:
Note, we cannot divide by zero. By using the slope formula, we get that the slope is undefined.
I hope this helps. Happy studying.
Answer:
The probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds is 0.0107
Step-by-step explanation:
Consider the provided information.
It is given that mean is 440 seconds and standard deviation is 60 seconds.
z factor for less than 302 seconds would be:
z = (302 - 440) / 60 = -2.3
The probability of getting a z factor of less than -2.3 = 0.0107 approximately.
looking up in the z-table for a z factor of -2.3.
The probability of a student running the mile in less then 302 seconds would be 0.0107.
Hence, the probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds is 0.0107