Answers: The page numbers are 11 and 12
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Explanation:
Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.
Let,
- x = first page, some positive whole number
- x+1 = second page, follows immediately after page x
Adding those two said pages will lead to 23
first + second = 23
(x) + (x+1) = 23
2x+1 = 23
2x = 23-1
2x = 22
x = 22/2
x = 11 is the first page
x+1 = 11+1 = 12 is the second page
Check: 11+12 = 23 which confirms the answers.
It will need 1.8 kilograms to have 25.0 g of nickel
A vertical line that the graph of a function approaches but never intersects. The correct option is B.
<h3>When do we get vertical asymptote for a function?</h3>
Suppose that we have the function f(x) such that it is continuous for all input values < a or > a and have got the values of f(x) going to infinity or -ve infinity (from either side of x = a) as x goes near a, and is not defined at x = a, then at that point, there can be constructed a vertical line x = a and it will be called as vertical asymptote for f(x) at x = a
A vertical asymptote can be described as a vertical line that the graph of a function approaches but never intersects.
Hence, the correct option is B.
Learn more about Vertical Asymptotes:
brainly.com/question/2513623
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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].
