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) (0, 8)
(ii) (6, 0)
(iii) (3, 4)
Step-by-step explanation:
The equation of the line AB is 4x + 3y = 24.
<u>PART (i): To find the coordinate A, </u>
We know that coordinate A cuts the y-axis, which implies that the x is 0.
When x = 0
4(0) + 3y = 24
3y = 24
y = 8
The coordinate of A is (0, 8)
<u>Part (ii): To find the coordinate B,</u>
We know that the coordinate B cuts the x-axis, which implies that y is 0.
When y = 0,
4x + 3(0) = 24
4x = 24
x = 6
The coordinate of B is (6, 0)
<u>PART (iii): Midpoint</u>
x-coordinate = (0 + 6)/2 = 3
y-coordinate = (8 + 0)/2 = 4
The midpoint 9 is (3, 4)
5(3)= 15
hope it helps
comment if you have any questions
V = (1/3) pi r^2 h
103.67 = (1/3) pi r^2 11
r^2 = 103.67 / ( 1/3 * pi * 11) = 9
r^2 = 3 answer
Answer: $77.40
Step-by-step explanation:
First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.
The total cost of the battery was $77.40.