Answer:
B.) The graph of m(x) is wider.
Both graphs open upward.
Both have the axis of symmetry x = 0.
The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).
Step-by-step explanation:
When the coefficient before x² is greater than 1, the curve of the graph is narrower. When the coefficient is less than 1, the curve of the graph is wider.
When the coefficient in front of x² is positive, the graph opens upwards. When the coefficient is negative, the graph opens downwards.
The axis of symmetry is the "x" value which divides the curve into two equal sections. Their axis of symmetry are both x = 0 because their vertexes (the lowest point of the curve) are both at x = 0.
The vertex can be found by plugging x = 0 into both of the equations and then solving. The resulting value is the "y" position of the vertex.
m(0) = 0.7(0)² + 4 n(0) = (0)²
m(0) = 0 + 4 n(0) = 0
m(0) = 4
Therefore, the vertexes are m(x) = (0,4) and n(x) = (0,0).
Answer: A. (0,2)
Y-Intercept - (0,2)
No X-Intercept.
Step-by-step explanation: f(x)=2*3 is a horizontal line to the x-axis, which means that the y-intercept is (0,2) and is no x-intercept.
Hope this helps you out! ☺
Answer:
The events are mutually exclusive.
Step-by-step explanation:
Mutually exclusive event is simply event where the occurrence of one prevents the occurrence of the other. Better put - a disjointed event.
From the illustration, we have been given an assumption, which is, each student has only one major. As such, we have two independent events:
1. A student who only majors in Mathematics
2. A student who only majors in Chemistry.
The implication is that any student chosen could only possess one major and from the illustration, we could only choose one. It therefore follows that choosing one student major prevents the opportunity to field another student major.
Hence, we say such events are mutually exclusive.
Answer is C) 8/19
you do ((2*8)+3)/8
making it 19/8
and the reciprocal is the opposite of that answer, so 8/19
