How do I evaluate -7 5/6 + (-7 1/4)

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The graph of a function is given. Find the approximate coordinates of all points of inflection of the function (if any). (Assume a = 6.)

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Final answer:

The given function is a straight line and does not have any points of inflection.

Explanation:

In order to find the points of inflection on the graph of a function, we need to find where the concavity changes. Points of inflection occur where the second derivative of the function is equal to zero or undefined.

For this specific function, we are given only a line graph with a slope of 3 and a y-intercept of 9. Since the slope is constant, the function is linear and does not have any inflection points.

Learn more about Points of inflection here:

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inflection point is where the concavity changes
I circled the guess inflection point
and if a=6 units, then the coordinates are (-6,6)

What's the lateral area of a right circular cone if the diameter of the base is 4 m and the slant height of the cone is 15m? Round your answer to the nearest whole number. A. 214m2 B. 107m2 C. 94m2 D. 188m2

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We are tasked to solve for the lateral area of a right circular cone given that the base diameter measurement is 4 meters and the slant height measurement is 15 meters. To solve this problem, we need to use the formula below:
Lateral Area = pi*r (√h²+r²)
where r is half of the diameter measurement such as:
radius = r = diameter / 2
r = 4/2
r = 2 meters
Solving for the lateral area, we have it:
Lateral Area = 3.14*2 (√15²+2²)
Lateral Area = 94 m²

The answer is the letter "C".

The correct answer is:

C. 94m2

Find the coordinates of the midpoint of the segment whose endpoints are H(6, 4) and K(2, 8) A. (4, 4) B. (2, 2) C. (8, 12) D. (4, 6)

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Endpoints of the segment line:
H ( 6, 4 ) and K ( 2, 8 ):
x 1 = 6, x 2 = 2;
y 1 = 4, y 2 = 8:
x m = ( 6 + 2 ) / 2 = 8 / 2 = 4
y m = ( 4 + 8 ) / 2 = 12 / 2 = 6
Answer: D ) ( 4, 6 )

List the six elements necessary for life and give examples of three molecules that contain those elements?