What is a cup equal to in fractions
1 answer:
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Answer:
C) The parabola is narrower and reflected across the x-axis.
Step-by-step explanation:
The original parabola has equation:
The transformed parabola has equation
How wide the graph is can be determined by the absolute value of the coefficient.
The smaller the absolute value of the coefficient, the wider the graph.
Since
The original graph is wider than the transformed graph.
Also the negative factor tells us there is a reflection in the x-axis.
Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral
The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.
125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75