Using it's concepts, the domain and the range of the graph are given as follows:
- Domain: all real values except x = -1.
<h3>What are the domain and the range of a function?</h3>
- The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x, which is the horizontal axis of the graph.
- The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y, which is the vertical axis of the graph.
In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:
- Domain: all real values except x = -1.
More can be learned about the domain and the range of a function at brainly.com/question/10891721
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The line should equal 180 degrees, so we would subtract 122 from 180 to get 58 degrees. Since the triangle is equilateral, each angle is the same measure, so I believe m<1 should be 58 degrees.
Answer:
17640
Step-by-step explanation:
at a discount of 10% per year $4900 is equal to $490 per year
payment started 6 years ago from now and ended 20 years from now
therefore there is an accumulation of 26 years
for 26 years = 26 *$490= $12740
present value therefore = $4900+$12740=$ 17640
1) We calculate the volume of a metal bar (without the hole).
volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²
Volume=(0.935 m²)(2 m)=1.871 m³
2) we calculate the volume of the parallelepiped
Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³
3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped
Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³
4) we calculate the mass of the metal bar
density=mass/ volume ⇒ mass=density *volume
Data:
density=8.10³ kg/m³
volume=1.551 m³
mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg
answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg
Answer:
see below
Step-by-step explanation:
1. The inverse means take the not of both sides
If it is Saturday, then there is no school.
Inverse If it is not Saturday, then there is school.
The converse flips the then and the if
If there is no school, then it is Saturday.
2.) The first given part is the if, what will happen is the then part
If you are a freshman, then you are required to attend orientation.
3.)
Given: 3x+1=-14 Prove: x=-5
Statements Reasons
1. 3x+1=-14 Given
2. 3x=-15 Subtraction Property of equality ( since we subtract 1 from each side)
3. X=-5 Division Property ( since we divide each side by 3)
