4(13-b)=6(2-0.5b)
52-4b=12-3b
-4b+3b=12-52
-b=-40
b=40
Answer:
−8n−2
Step-by-step explanation:
g(f(n))
g(-4n-1)= 2(-4n-1) +5-----> −8n+3
Total number of marbles = 10
Number of red marbles = 4
Number of blue marbles = 6
Probability =
The probability that the first marble is blue =
The probability that the first marble is red = ; 9 because 1 marble has already been taken out.
Joint probability= probability of event A * Probability of event B
= =
Answer:
See Explanation
Step-by-step explanation:
Let the numbers be
Required
Determine the possibilities for the other two
The possibilities of the other two (as a product) are:
<em>All possible combinations are (where order is not important): 17 1 28, 17 2 14 and 17 4 7</em>
Step-by-step explanation:
Solve for xsin3⁡x+cos3⁡x=1" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xsin3x+cos3x=1xsin3x+cos3x=1
sin3⁡x+cos3⁡x=1(sin⁡x+cos⁡x)(sin2⁡x−sin⁡x⋅cos⁡x+cos2⁡x)=1(sin⁡x+cos⁡x)(1−sin⁡x⋅cos⁡x)=1" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">sin3x+cos3x=1(sinx+cosx)(sin2x−sinx⋅cosx+cos2x)=1(sinx+cosx)(1−sinx⋅cosx)=1