9514 1404 393
Answer:
f(x) = x³ +3x² -6x -18
Step-by-step explanation:
In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...
f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)
f(x) = x³ +3x² -6x -18
Answer:
The two numbers are
518
694
Step-by-step explanation:
As per requirements the two equations will be
X+Y=1212
X-Y=518
When we subtract these equations we get
X=1212-518
X=694
Now put the X value and find the Y value in any equation
X+Y= 1212
Y=1212-X
Where X = 694
Y=1212-694
Y=518
X=694 and Y=518
The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape =
Volume of a rectangular prism =
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball =
Volume of basketball =
- Convert to
<em>Therefore,</em>
- Volume of basketball =
- Find the volume of the office (rectangular prism):
Volume of the office =
- Number of basket ball that will fill the office = Volume of office / volume of basketball
Number of basket ball that will fill the office =
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
Learn more here:
brainly.com/question/16098833
The answer is 7. 9 + 5 / 2 equals to 7. 9 and 5 and the two middle numbers.
Answer:81030m
Step-by-step explanation:1km=1000m, 81km=81000+30=81030m