8 and 12 are separated by 1 line, and they have a difference of 4 units, so..
count every two lines and add 4 units
this means that the blue dot is 20
The graph of a function can be sketched by plotting points.
First and foremost, it is to be determined if the function is odd/even or periodic. Next, we find the x and y intercepts. To sketch a graph of a function, one can start by plotting a few points that lie on the graph using the coordinates given by the function. For example, if the function is y = x², then points (0, 0), (1, 1), and (2, 4) can be plotted by substituting the values of x into the function to find the corresponding values of y.
Subsequent to this, one can connect the points with a smooth curve to form the graph of function. If the function is a straight line, the graph will be a straight line. If the function is quadratic, the graph will be a parabola. The graph may take on a more complicated shape for more complex functions.
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Answer:
65
Step-by-step explanation:
They are vertical angles; so angles are congruent
*<em>Vertical angles are always congruent*</em>
<em>Congruent means equal or same.</em>
1) Since they are congruent, you form an equation.
<h2>
145 = 2x + 15</h2>
2) Solve by subtracting 15 from both sides.
<h2>
145 = 2x + 15</h2><h2>
- 15 -15</h2><h2>
----------------------</h2><h2>
130 = 2x</h2>
3) Solve by dividing 2 from both sides
<h2>
130/2 = 2x/2</h2>
4) Simplify
x = 65
Option (A) : least: 10 hours; greatest: 14 hours
The function f(x) = sin x has all real numbers in its domain, but its range is
−1 ≤ sin x ≤ 1.
How to solve such range questions?
Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question
Given: d(t) = 2sin(xt) + 12
= −1 ≤ sin (xt) ≤ 1.
= −2≤ 2 sin (xt) ≤ 2.
= 10 ≤ 2sin (xt) + 12 ≤ 14
= 10 ≤d(t) ≤ 14
Thus least: 10 hours; greatest: 14 hours
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Answer:
the answer is 589.4
Step-by-step explanation:
In doing this equation you do the order of operations:
(2.1 x 104)= 218.4
(3.5 x 106)= 371
you then add the answers together to get:
218.4 + 371 = 589.4
