Number of times rolled = 300
Number of times landed with 6 = 33
<span>Experimental probability = 33/300 = 11/100
</span>
Answer: 11/100
Check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
The point through which the same line is passing will be (9,13) so option (C) will be correct.
<h3>What is a line segment?</h3>
A line section that can connect two places is referred to as a segment.
A line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
The equation of any line with slope m can be given as
y = mx + c
Given,
slope m = 1/2
Point of passing (-7, 5)
So,
5 = -7/2 + c ⇒ c = 17/2
So the equation will be,
y = x/2 + 17/2
2y = x + 17
Now checking all points (9,13) is satisfying.
2(13) = 9 + 17
26 = 26
Hence point (9,13) is passing through the line.
For more about line segment
brainly.com/question/25727583
#SPJ1
Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...