Answer:
B
Step-by-step explanation:
1. In order to determine the inequality, you must first solve the solution set to determine what x is less than.
So you would do this:
1 + 2x < 9 Subtract 1
2x < 8 Divide by 2
x < 4
2. Next, you need to understand the difference between an open circle and a closed circle shown on the solution sets.
An open circle is equal to the following inequalities:
<, >
A Closed circle represents inequalities in situations such as:
greater than or equal to, or less than or equal to
3. Because the inequality above represents only less than or greater than the inequality sets should have an open circle being used.
Since x is less than 4 it should be moving to the left of the line inequality set.
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Answer:
Each ticket cost $13
Step-by-step explanation:
Day 1-- 1 adult and 8 child ticket= Total of 9 tickets = $117
Day 2--6 adult and 8 child ticket= Total of 14 = $182
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