A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probab
2 answers:
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Answer:
The true statements about the graph of the function are:
The range of the function is {y : y ≤ 6} ⇒ 2nd
The function is increasing over the interval (–∞ , –2) ⇒ 3rd
The function has a positive y-intercept ⇒ 5th
Step-by-step explanation:
* Lets explain how to solve the problem
- The function f(x) = -x² - 4x + 2 is a quadratic function represented
graphically by a downward parabola with maximum vertex
∵ The form of the quadratic function is f(x) = ax² + bx + c
∵ The coordinates of the vertex of the parabola are (h , k) where
h = -b/2a and k = f(h)
∵ a = -1 , b = -4
∴ h = -(-4)/2(-1) = 4/-2 = -2
∵ k = f(h)
∴ k = -(-2)² - 4(-2) + 2 = -(4) - (-8) + 2
∴ k = -4 + 8 + 2 = 6
∴ The vertex of the parabola is (-2 , 6)
* Look to the attached figure to find the true statements
∵ The greatest value of the function is 6 ⇒ y-coordinate of the vertex
∵ The range of the function is the values y-coordinates of the points
on the parabola
∴ The range of the function is {y : y ≤ 6}
- The domain of the function is {x : x ∈ R} or (-∞ , ∞)
∵ The value of y increasing after -∞ to the x-coordinate of the vertex
∵ x-coordinate of the vertex is -2
∴ The function is increasing over the interval (–∞ , –2)
- The parabola intersect the y-axis at point (0 , 2)
∵ The y-intercept is the intersection between the parabola and the
y-axis
∵ The parabola intersect the y-axis at point (0 , 2)
∴ The y-intercept is 2
∴ The function has a positive y-intercept
This is called the pythagorean theorem: a^2 + b^2 = c^2.
Basically, the sum of one side squared + the side of another side squared = the length of the longest side (or hypotenuse).
We have to do the following math:
4 * 4 = 16
6 * 6 = 36
16 + 36 = 52.
We know that 52 = c^2
So we have to
to get 7.21
You do not agree with Ted.
Basically, the sum of one side squared + the side of another side squared = the length of the longest side (or hypotenuse).
We have to do the following math:
4 * 4 = 16
6 * 6 = 36
16 + 36 = 52.
We know that 52 = c^2
So we have to
You do not agree with Ted.