Answer: It has two distinct real zeros.
Step-by-step explanation:
The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:
In this case you have the following Quadractic function provided in the exercise:
Let's make it equal to 0:
You can identify that:
Knowing these values, you can substitute them into the formula and then evaluate:
Therefore, since:
You can determine that the it has two distinct real roots.
Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36
The table have the following results:
Hearts – 7
Diamonds – 4
Clubs – 8
Spades – 5
There is a total of 24
The question is asking for the probability of not
selecting a heart.
So we need to add the probabilities of the diamonds,
clubs, and spades since these suits are different from hearts.
So = 4 + 8 + 5 = 17
And we have a total of 24 cards
<span>Therefore the probability is 17/24. </span>
Refer to the diagram shown below. It shows a vertical cross-section of the paraboloid through its axis of symmetry.
Let the vertex of the parabola be at the origin. Then its equation is of the form
y = bx²
Because the parabola passes through (18,8), therefore
8 = b(18²)
b = 0.02469
The parabola is y = 0.02469x².
The receiver should be placed at the focal point of the paraboloid for optimal reception.
The y-coordinate of the focus is
a = 1/(4b) = 1/0.098765 = 10.125 in
Answer: The receiver is located at 10.125 inches from the vertex.
