Answer:
3.6
Step-by-step explanation:
The average of 9 scores is x.
average = (sum of scores)/(number of scores)
x = (sum of scores)/9
sum of scores = 9x
The sum of the 9 scores is 9x.
The tenth score is 36 more than x, so it is x + 36.
The sum of the 10 scores is 9x + x + 36 = 10x + 36.
The average of the 10 scores is (10x + 36)/10 = x + 3.6
The difference of averages is
x + 3.6 - x = 3.6
The intervals of the function on the graph are:
- Domain = (-∝, ∝)
- Range = (-∝, 2]
- Increases (-∝, 3]
- Decreases [3, ∝)
<h3>The key features of the function?</h3>
The function is given as:
f(x) = -2(x-3)² + 2
See attachment for the graph.
From the graph, we have;
Domain = (-∝, ∝)
Because it takes all real values as its input
Range = (-∝, 2]
Because it has a vertex of (3, 2) and the vertex is a maximum
Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)
Read more about function interval at:
brainly.com/question/27831985
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Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
Answer:
Step-by-step explanation:
Because we are looking for the scale factor of the model to the bridge (model first), the scale factor will be less than one.
Each fraction () can be simplified to . Therefore, the scale factor of the model to the bridge is .
Answer:
D. The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.
Step-by-step explanation:
The correct simplification is the following: