<span>Let x=one number and x+12= the other number. Together the numbers=54. Set up the equation: x+x+12=54; Combine the variables; 2x+12=54; Subtract 12 from both sides of the equation; 2x=42; Divide both sides of the equation by 2; x=21 is one number and 21+12=33 is the other number. Check: 2(21) +12=54; 42+12=54; 54=54.</span>
Answer:
Step-by-step explanation:
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:
D
Step-by-step explanation:
On edge
Answer:
radius=3
Step-by-step explanation:
volumes of a cone = 1/3πr²h
12π = 1/3× π × r² × 4
37.7 = 12.6r²/3
cross multiply
37.7×3=12.6r²
113.1=12.6r²
make r² subject of the formula
r²=113.1÷12.6
r²=8.976
r=√8.976
r=2.996
r=3.0 (to the nearest tenth)
