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Answer:</h2><h3>
A. Domain </h3>
The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.
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B. Range</h3>
The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.
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C. Increasing Interval</h3>
A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.
- Increasing Interval = [-∞, 2]
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D. Decreasing Interval</h3>
The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.
- Decreasing Interval = [2, ∞]
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E. Opening</h3>
The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.
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F. Min and Max</h3>
A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.
36 divided by 4 =(9) which is the correct answer plz give brainliest
Answer:
e. We are 90% confident that the average age of all golfers that play on the golf course is between 38.6 and 44.6 years old.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
90% confidence interval for the average age of golfers in the course is of (38.6, 44.6). This means that we are 90% sure that the true average age of all golfers in the course is between these two values, that is, the correct answer is given by option e.
Answer:they win 12 more matches in the second year
Step-by-step explanation:
Each year, the team plays a total of 120 matches. In its first year the team wins 45% of its matches. This means that the total number of matches that the team won in the first year is
45/100/× 120 = 54
The 2nd year ,the team wins 55% out of 120 matches. This means that the total number of matches that the team won in the second year is
55/100/× 120 = 66
Number of matches for the second year - number of matches for the first leg is 66 - 54 = 12
2
2*3+5=11 duh. ;l
good question though
