Answer:
While it's true that quadratic functions have no domain restrictions, the range is restricted because x2 ≥ 0. The correct answer is: The domain is all real numbers and the range is all real numbers f(x) such that f(x) ≥ 7.
Step-by-step explanation:
Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
Answer:
5.5 pt or 5 1/2 pt
Step-by-step explanation:
A pint is half of a quart, so multiply 2 3/4, or 2.75 by 2, and you'll get your answer. If
If 0.25 in on a drawing is 12 ft in real life, than 1 in on the drawing is 48 ft in real life.
Just divide 15 by 48
15/48=0.3125
So the length of 15 in real life to a drawing is 0.3125 inches.
Answer:
the volume is 
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder.
Given data
Volume v = ?
Radius r = r in
Height h= 2r in
We are expected to solve for the volume of a cylinder, given the above data we can substitute it in the formula for volume of a cylinder to obtain our result
we know that the expression for the volume of a cylinder is
Hence the volume in terms of the radius is 
