Which linear inequality will not have a shared solution set with the graphed linear inequality? y < Five-thirdsx – 2 y < N
2 answers:
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Option B
Trevor isn't correct because -2i must also be a root
<em><u>Solution:</u></em>
For the polynomial with roots -7, 2i and 7 their roots can be,
1. ) Real roots
2.) Imaginary roots
The real roots are: -7 and +7
The imaginary root given is: 2i
The imaginary roots come from the square root. So they will be in form of
Therefore,
For f(x) with roots -7 and +7 and we have,
Fundamental Theorem of Algebra states that a polynomial will have exactly as many roots as its degree (the degree is the highest exponent of the polynomial).
So for f(x) with 4 roots, degree of f(x) is 4
So option B is correct. Trevor is not correct because –2i must also be a root.
Answer:
1. Statistics
2. Sample
3. Population
4. Variable
5. Data
6. Parameter
Step-by-step explanation:
1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50
2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50
3. Population is the group of people from which the sample was taken - All people who drive on Highway 50
4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway
5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove
6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50
Answer: The required ratio in simplest form is 7 : 5 : 8.
Step-by-step explanation: Given that in a fruit punch drink, the 3 ingredients are apple juice orange juice and cranberry juice. of the drink is apple juice and
is orange juice.
We are to find the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Let x, y and z be the fractions of the cranberry juice, apple juice and orange juice in the fruit punch drink.
Then, according to the given information, we have
Now,
Therefore, the ratio of cranberry juice to apple juice to orange juice is given by
Thus, the required ratio in simplest form is 7 : 5 : 8.