The domain of the function is all real numbers because it is a quadratic equation
Answer:
x = 816 kilometers per hour.
Step-by-step explanation:
Given the following data;
Distance traveled by Kirk = 450km
Distance traveled by Thor = 408 km
Let the average driving speed of Thor be x.
Translating the word problem into an algebraic equation;
k = x + 6
We know that the time taken to cover a distance by an object with speed is given by the formula;
Time = distance/speed
Substituting into the equation, we have;
408/x = 405/x + 6
Cross-multiplying, we have;
408*(x + 6) = 405*x
408x + 2448 = 405x
408x - 405x = 2448
3x = 2448
x = 2448/3
x = 816 kilometers per hour.
10 meters, because 25 percent of 8 is 2, 2 plus 8 is 10.
Answer:
22.5 cm^2
Step-by-step explanation:
Amount of paper is going to be measured in area, so we want the surface area of the cone. Since it is a cub it doesn't have a base, so we don't need to count it.
Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height. and of course radius is d/2 where d is the diameter. so let's plug it in. We know diameter is 6 and slant height is 7.5
SA = pi * r * s
SA = pi * d/2 * s
SA = pi * 6/2 * 7.5
SA = 22.5 cm^2
So you will need 22.5 square centimeters of paper.
Answer:
y = √(x - 3)
Step-by-step explanation:
The graph shown has exactly the same shape as does the graph of y = √x, EXCEPT that the entire graph of y = √x has been translated 3 units to the right. Thus, the function describing this graph is y = √(x - 3).