Provide an appropriate response.Consider an equation of direct variation y = kx. When x increases, does y increase or decrease?
Fill in the blank(s) with the appropriate word(s).
y increases.
Mathematics
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Solve the problem.The accompanying figure shows the graph of y = x2 shifted to a new position. Write the equation for the new graph.
A. y = x2 + 6 B. y = (x + 6)2 C. y = x2 - 6 D. y = (x - 6)2
Mathematics
Solve the problem using inductive reasoning.In how many ways can you exactly cover the last two diagrams with "dominoes" that are just the size of two small squares?
Fill in the blank(s) with the appropriate word(s).
Mathematics
Find the integral.
dx
A. -4(cot-1 x)5 + C
B. 
+ C
C. 4(cot-1 x)3 + C
D. 
+ C
Mathematics
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.(4, 5); m = - 3
A. y = - 
x + 17
B. y = -3x - 17
C. y = -3x + 
D. y = -3x + 17
Mathematics