Answer: f(x) = x9h(x)
h(-1) = 2
h'(-1) = 5
We need to find h(x) first. Once we have h(x), we can find the derivative of f(x). Then evaluate the derivate when x = -1.
We know that derivative is the slope of the tangent line. In this case, the slope of the line tangent to h(x) at x=-1 is 5.
h(-1) = 2 has a coordinate point of (-1, 2).
2 = 5(-1) + b
2 = -5 + b
7 = b
h(x) = 5x + 7 -----> equation of the tangent line
f(x) = x9(5x + 7)
f(x) = 5x10 + 7x9
Take the derivative of f(x).
f'(x) = 50x9 + 63x8
f'(-1) = 50(-1)9 + 63(-1)8
f'(-1) = -50 + 63
f'(-1) = 13
Step-by-step explanation:
Answer:
Sample space: {1,2,3,4,5,6}
All equally likely to occur
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➷ First calculate how many counters are 'not white'
12 - 7 = 5
We have 5 counters that are 'not white'
The probability of taking a white counter the first time is 7/12
For the next pick, there would be 1 less of the total counters as it is not being replaced
The probability of then taking a 'not white' counter is 5/11
The other way you could still get one white counter is:
The first counter (non white) probability would be 5/12
The second counter (white) probability would be 7/11
Multiply these values:
7/12 x 5/11 = 35/132
5/12 x 7/11 = 35/132
Add these two values together:
35/132 + 35/132 = 70/132
Your answer is 70/132
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Answer:
5 < 10x - 3
Step-by-step explanation:
The answer is 5 < 10x - 3 because you are adding 2x to both sides of the inequality.
Answer:
work is shown and pictured
