Identify the properties of absolute value functions y=43∣x∣, y=−3∣x∣, y=−1∣x∣, y=−21∣x∣. (a) Determine if each graph opens upward or downward. (b) Choose the equation with the widest graph. (c) Choose the equation with the narrowest graph.
Find the greater of two positive integers that are 3 units apart and have a product of 108. Use the equation (m+3)(m−3)=108 to solve for m, the greater integer.
Factor quadratic expressions and find the value to complete the square.
a) x2−10x+25
b) x2+6x+9
c) x2+5x+25/4
d) x2−3/2x+9/16
What value is required to complete the square?
Find the number of megabytes of data that 5 flash drives can hold, given that 7 flash drives can hold 1792 megabytes. Solution: Let x be the number of megabytes of data that 5 flash drives can hold. Then, we can set up the proportion:
17927=x5
Solving for x, we get x=75×1792=1280 megabytes.
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. Find the system of equations representing this situation. (A) {k=d+3k−2=4(d−2)
(B) {d=k+3d−2=4(k−2)