Is the distance a baseball travels in the air after being hit a discrete random variable, a continuous random variable, or not
1 answer:
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Answer:
Step-by-step explanation:
(a)
For the quadratic equation of the form ,
The discriminant is given as:
Simplifying the given quadratic equation:
[(x-7)^2] - 62 = 19
∴ (x^2) - 14x + 49 = 81
∴ (x^2) - 14x - 32 = 0
Comparing with the standard form of quadratic equation:
a = 1; b = -14; c = -32
∴ Discriminant = (b^2) - 4ac = 196 + 128 = 324
Since Discriminant > 0,
The roots will be real and distinct.
(b)
This equation can be factored as:
(x - 16)(x + 2) = 0;
∴ x = 16 ; x = -2, are the two roots of the equation.
For the Fruit punch
Yasmin uses 4 cups of papaya juice for every 6 cups of pine apple juice
i.e.
Since, Yasmin has already 24 cups of juice, then for the number of cups of Papaya juice, we multiply the number of Papaya cups reuquire for 1 cup of pineapple juice by 24.
So, for the fruit punch,
16 Cups of Papaya juice needed for 24 cups of Pineapple Juice.
Answer :
16 Cups of Papaya juice
Option D: is the pair of points which does not have y - axis as the line of reflection.
Explanation:
The translation rule to reflect the pair of points across the y - axis is given by
<u>Option A</u>: :
Let us translate the coordinate B(3,-8) across y - axis using the translation rule , we get,
Thus, we get,
Hence, the pair of points has the line of reflection across y - axis.
Therefore, Option A is not the correct answer.
<u>Option B</u>: :
Let us translate the coordinate B(-6,2) across y - axis using the translation rule , we get,
Thus, we get,
Hence, the pair of points has the line of reflection across y - axis.
Therefore, Option B is not the correct answer.
<u>Option C</u>: :
Let us translate the coordinate B(5,-7) across y - axis using the translation rule , we get,
Thus, we get,
Hence, the pair of points has the line of reflection across y - axis.
Therefore, Option C is not the correct answer.
<u>Option D</u>: :
Let us translate the coordinate B(2,-2) across y - axis using the translation rule , we get,
Thus, we get,
Hence, the pair of points does not has the line of reflection across y - axis.
Therefore, Option D is the correct answer.