Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is . In particular, the value we are looking for is .
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to .
Answer:
1. There are a total of 19 marbles in the bag. The probability of picking a green marble out of them is 4/19 since there are only 4 green ones. The probability of picking a brown marble after replacing what has been initially picked is 1/19. The final probability is the product of the two probabilities and that is 4/361.
2. ?
3. 60%
Step-by-step explanation:
Answer: 3 different ways
Those three ways, I'll label as A, B, and C
A) Buying the 78 cookies one at a time
B) Buying 6 packs of the 13-count cookies, so 13*6 = 78 cookies total.
C) Buying 2 packs of the 39-count cookies, so 2*39 = 78 cookies total
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For option A, we can imagine a rectangle that is 1 unit high and 78 units long giving an area of 1*78 = 78. Or we can imagine a single row of 78 cookies in this row.
In option B, we can have a rectangle that is 13 by 6, giving an area of 78. Or We could have 6 rows of 13 cookies per row (each row representing a package of cookies).
Option C would be similar to B, instead there would be 2 rows of 39 cookies per row.
Step 1 solve (2x-26)°= (x - 13)
Step 2 now solve (7x+8)°= (7x +8)
Step 3 add (x-13) + (7x +8)= 8x - 5 i hope it helps ask me if u didn’t understand or want me to explain something!
The least common multiple or LCM