Answer:
Option D. [4,9]
Step-by-step explanation:
we know that
The range of a function is the complete set of all possible resulting values of the dependent variable (output values), after we have substituted the domain (input values)
In this problem we have
The domain of the function (input values or independent variable) is the interval [2,3,4]
The range of the function (output variable or dependent variable) is the interval [4,9]
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b
Answer: 149,150,151
Step-by-step explanation:
1.st solution
Let the smallest number is x.
So next consecutive number is x+1
So the third consecutive number is x+2
So the sum of these three numbers is:
x+x+1+x+2=450
3x+3=450
3x=447
x=149 - first number
Second number is 149+1=150
Third number is 150+1=151
2-nd solution
The sum of 3 numbers in row is 450. It means that average number is 450:3=150 - is the number which is in the middle
So the first one number is 150-1=149 and the third number is 150+1=151
If you would like to know how much does a 93-pound person weigh on the Moon, you can calculate this using the following steps:
120 pounds on the Earth ... 20 pounds on the Moon
93 pounds on the Earth ... x pounds on the Moon = ?
120 * x = 20 * 93 /120
x = 20 * 93 / 120
x = 15.5 pounds on the Moon
The correct result would be 15.5 pounds on the Moon.
To answer this, we need to start with the standard equation for an ellipse:
(x^2/a^2)+(y^2/b^2)=1
Where a is one half of one axis, and b is one half of the other.
The problem states that one axis is 1057 ft, and the other is 880 ft, so divide these values by 2 and square them. This results in:
(x^2/279,312.25)+(y^2/193,600)=1
For verification, if you have a graphing calculator, solve for y, set the size of the window so it should perfectly fit the ellipse, and check (it does)
