C. 4.45 cm. you take the circumference and divide it by pi to find the diameter
The average speed of the plane between Austin and Dallas is 232 kmph
<u>Solution:</u>
Given that,
Total distance traveled by airplane = 290 km
Time taken for travel between Austin and Dallas = 1 hour 15 minute
Let us convert the time taken to hours

<em><u>The average speed is given as:</u></em>

Plugging in the values, we get,

Hence the average speed is 232 kmph
The interval of the function that contains the local maximum is given by:
[0, 2].
<h3>What is the question?</h3>
The graph of the function that we want to analyze the behavior is missing. It states that:
- The function is decreasing from negative infinity to x = -0.8.
- Then the function increases from x = -0.8 to x = 1.55.
- After that, the function decreases until infinity.
<h3>What is a local maximum in a function f(x)?</h3>
A local maximum in a function f(x) is a value of x at which the function changes from increasing to decreasing.
Researching this problem on the internet, and looking at the graph, the function changes from increasing to decreasing at point x = 1.55, hence the interval that contains the local maximum of the function is:
[0, 2].
More can be learned about local maximums at brainly.com/question/13333267
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Answer:
x²+14x+24 = (x+2)(x+12)
Step-by-step explanation:
We need to factorize the given expression i.e. x²+14x+24.
We find two integers such that their sum is 14 and product is 24.
x²+14x+24 = x²+12x+2x+24
=x(x+12)+2(x+12)
= (x+2)(x+12)
Hence, the factors of the given expression is (x+2)(x+12).