Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
Answer:
5(2x - 1)
Step-by-step explanation:
Given
2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis
= 2x - 12 + 8x + 4 + 3 ← collect like terms
= (2x + 8x) + (- 12 + 4 + 3)
= 10x + (- 5)
= 10x - 5 ← factor out 5 from each term
= 5(2x - 1) ← in factored form
Answer:
Option B. 2376 Square feet
Step-by-step explanation:
The following were obtained obtained from the question:
Base (B) = 24ft
Length (L) = 40ft
Height (H) = 9ft
Slant height (S) = 15ft
Surface Area (A) =?
The surface area (A) for triangular prism is given below:
A = BH + 2LS + LB
Where:
B is the Base
L is the Length
H is the Height
S is the Slant Height
A is the Surface Area
Using the above equation, the surface area can be obtained as follow:
A = BH + 2LS + LB
A = (24x9) + (2x40x15) + (40x24)
A = 216 + 1200 + 960
A = 2376 ft2
Using the cosine rule we can work out the length of the side opposite the indicated right angle which came to be 15mm
then the final answer came to be 163mm^2
Note that mailing address is unique, but houses are not, meaning that you can't have house A and house B both referencing the same address.
So, in order to have a valid function, any two points on the function cannot have the same x value that lands on different y.
With this property mentioned, it's clear to see that
(house, address) is NOT a function; however, (address, house) is a function, since same x lands on multiple y values is a valid onto function. (a house that have multiple addresses)
