Given g(x) = f(x) + k. Identify a value of k that transforms finto g. Round your answer to the nearest integer. g 2 X - 14 -2 O
1 answer:
Answer:
- k = -5
Step-by-step explanation:
We can see the lines are parallel
The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)
If f(x) = mx + 2, then g(x) = mx - 3
<u>The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:</u>
- g(x) = f(x) + k
- k = g(x) - f(x)
- k = (mx - 3) - (mx + 2)
- k = -3 - 2
- k = -5
So the answer is k = -5
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Answer:
Step-by-step explanation:
Step1: find the interval of roots. Consider -3 and -2
Hence, the root must be on [-3,-2]
Step2: consider the middle point -2.5
Then, the root must be on [-3, -2.5]
Step 3: Repeat step 2 by finding the value of f at the middle point -2.75
Step 3: Repeat step 2 by finding the value of f at the middle point of the interval [-2.75,-2.5] which is -2.625
Step4: Repeat step 2 on [-2.75, -2.625]
Repeat step 2 until you got the root which is -2.701
Answer:
a) We need to check two conditions:
1)
2)
So we satisfy the two conditions so then we have a probability distribution
b)
And we can use the complement rule and we got:
c)
d) For this case we see that the result from part b use the probability calculated from part c using the complement rule.
Step-by-step explanation:
For this case we have the following probability distribution given:
C 0 1 2 3 4 5 6 7 8
P 0.05 0.14 0.34 0.24 0.11 0.07 0.02 0.02 0.01
And we assume the following questions:
a) Verify that this is a probability distribution
We need to check two conditions:
1)
2)
So we satisfy the two conditions so then we have a probability distribution
b) What is the probability one randonmly chosen classmate has at least one child
For this case we want this probability:
And we can use the complement rule and we got:
c) What is the probability one randonmly chosen classmate has no children
For this case we want this probability:
d) Look at the answers for parts b and c and explain their relationship
For this case we see that the result from part b use the probability calculated from part c using the complement rule.