Answer:
Value of x --> 15°
<u>Step-by-step explanation:</u>
(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.
---> (2x + 60°) + 6x = 180°
2x + 60° + 6x = 180°
8x + 60° = 180°
8x = 180°- 60°
8x = 120
x = 
<h3><u>x equals 15°</u></h3>
The type of function that best models the data in the table is the quadratic function
<h3>How to determine the function type?</h3>
The table of values is represented as:
x: 4 6 8 10 12
y : 118 142 150 142 118
From the above table, we can see that:
- The y values increase from 118 to 150
- The y values then decrease to 118
- The x values increase
This is only possible in a quadratic function
Hence, the type of function that best models the data in the table is the quadratic function
Read more about quadratic function at:
brainly.com/question/1214333
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The <em>correct answer</em> is:
A) There is a vertical shift of n units.
Explanation:
When a parent function is transformed, each type of transformation results ina different change in the graph.
The parent function in this question is f(x) = sin(x).
Adding n units to the end of this function would result in f(x) = sin(x) + n.
When a function is transformed by adding a constant to the end of a function results in a vertical shift by that number of units. In this case, it would be a vertical shift n units.
A six-sided number cube is tossed and a coin is flipped.The sample space is {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.Wha
aleksandr82 [10.1K]
Since you're already given the sample space, we can simply count how many outcomes satisfy the request, and divide that number by the cardinality of the sample space.
In other words, we're using the formula
So, the outcomes with a number higher than two are
3H, 4H, 5H, 6H, 3T, 4T, 5T, 6T
out of these outcomes, we can filter those with heads flipped:
3H, 4H, 5H, 6H
So, there are 4 cases out of 12, and the probability is thus
