Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y
plug in 2y for x
2y + y = 90
3y = 90
3y/3 = 90/3
y = 30
plug in 30 for y
x = 2y
x = 2(30)
x = 60
x (the largest angle) = 60°
hope this helps
Answer:
(b) domain: (-∞, ∞)
(c) f(x) = 3 only at x=1
(d) range: (-∞, 3]
Step-by-step explanation:
(b) The domain is the horizontal extent of the region over which the function is defined. The function f(x) is defined for all x, from -∞ to +∞. The arrowheads on the ends of the graph mean the graph extends to infinity in x and y directions from those points (y goes to -∞, while x goes to ±∞).
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(c) Locate the horizontal grid line y=3 on the graph. Find all the points where it intersects the graph. There is only one: (1, 3). That is, x=1 is the only x-value for which f(x) = 3.
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(d) The range of the function is its vertical extent. The graph of f(x) extends from y = -∞ up to y = 3, so that is the range.
The rule of thumb for this kind of problem is that you must first determine the limiting variable in your situation. We know that for a single sandwich, 50 grams bread greatly exceeds the 9 grams of ham requirement. We also know that there will be a greater supply of ham since 1 kg is relatively close in amount to 1.2 kg. This means that we only need to look at the bread for calculation purposes. We can get the total number of sandwiches to be 1200 / 50 = 24 sandwiches.
Solution of a linear inequality
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
