Answer:
3
Step-by-step explanation:
17 * 3 = 51
51 * 3 = 153
153 * 3 = 459
etc.
2cosx=2sin2x. Sin2x is an identity for 2sinxcos. So 2[2sinxcosx] gives you 4sinxcosx. 2cosx=4sinxcosx. Divide 2cosx on both sides and gives you 2sinx=0 and divide again, sinx=0. Sinx is 0 at 0 and 360 degrees, or pi and 2pi. So thats what x would be. 0,360,pi,2pi.
She has 7 more roses. you can subtract to find the difference. 14-7=7
The desired answer is probably that
2x + 1 = 67
is the equation that can be used to solve the problem. In this case, x represents the smallest integer.
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I like to work problems in consecutive integers by considering their average. Here, it is 67/2 = 33.5. The two consecutive integers whose average is 33.5 are 33 and 34, the solution to the problem. For this, the first equation applies, where x is the value halfway between the two integers. (This answer (2x=67) would likely get marked wrong by your computer grading system.)
