Which of the following could be equal to x/4x?
Answer(s): E
Divide the numerator and denominator of x/4xbyx, leaving1/4Divide the numerator and denominator of5/20by 5. This fraction is also equal to1/4.
There are seven vocalists, four guitarists, four drummers, and two bassists in Glen Oak's music program, while there are five vocalists, eight guitarists, two drummers, and three bassists in Belmont's music program. If a band comprises one vocalist, one guitarist, one drummer, and one bassist, how many more bands can be formed in Belmont?
Answer(s): C
Multiply the numbers of vocalists, guitarists, drummers, and bassists in each town to find the number of bands that can be formed in each town. There are (7)(4)(4)(2) = 224 bands that can be formed in Glen Oak. There are (5)(8)(2)(3) = 240 bands that can be formed in Belmont; 240 224 = 16 more bands that can be formed in Belmont.
Which of the following is the equation of a parabola whose vertex is at (5, 4)?
Answer(s): A
The equation of a parabola with its turning point five units to the right of the y-axis is written as y = (x -5)2. The equation of a parabola with its turning point four units below the x-axis is written as y = x2- 4.Therefore, the equation of a parabola with its vertex at(5, 4) is y= (x - 5)2 4.
If
Answer(s): D
Ifb3- 64, then, taking the cube root of both sides, b = -4. Substitute-4for b in the second equation:
Eggs Found in a Hunt Over TimeThe scatter plot above shows how many eggs were found in a hunt over time. Which of the labeled points represents a number of eggs found that is greater than the number of minutes that has elapsed?
The point that represents a number of eggs found that is greater than the number of minutes that has elapsed is the point that has a y value that is greater than its x value. Only point E lies farther from the horizontal axis than it lies from the vertical axis. At point E, more eggs have been found than the number of minutes that has elapsed.
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