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:
I think 5 and 5 are equal so the angles are equal which are 70,70
Step-by-step explanation:
70+70+x=180
140+x=180
x=40
Refer to the diagram shown below.
w = 6 7/8 in = 6.875 in, the width of each device.
d = 3 1/2 in = 3.50 in, the space between teo devices.
The total space needed is
D = 4(w+d) + w
= 5w + 4d
= 5*6875 + 4*3.5
D = 48.375 in or 48 3/8 in
Answer: 48 3/8 inches or 48.375 inches
Area is found by taking the length time width or A=lw
240=L x 15 divide both sides by 15
Length = 16 meters
Answer:
<h2>3 + 4(n - 1)</h2>
Step-by-step explanation:
let r be the common differenc of the sequence
Term 12 - Term 7 = (12 - 7)r
then
47 - 27 = 5r
then
20 = 5r
then
r = 4
term 7 = term 1 + (7 - 1)r
then
27 = term 1 + 6r = term 1 + 24
then
Term1 = 27 - 24 = 3
<em><u>therefore </u></em>
the standard explicit formula of the sequence is :
term 1 + (n - 1)r = 3 + 4(n - 1)
