F(x) = - 55x + 330
The domain is the set of possible input-values, i.e. x-values.
You know that f(x) cannot bebigger than 330 not lower than zero, then construct the inequality:
0 ≤ f(x) ≤ 330
0 ≤ - 55x + 330 ≤ 330
Multilply by - 1 and change the inequality signs:
0 ≥ 55x - 330 ≥ -330
Add 330 to all the members
330 ≥ 55x ≥ 0
Divide by 55
6 ≥ x ≥ 0 => 0 ≤ x ≤ 6
The the possible x-values (practical domain) is all the real numbers between 0 and 6 inclusive.
8
46
is equivalent to 4
23
because 4 x 2 = 8 and 23 x 2 = 46
12
69
is equivalent to 4
23
because 4 x 3 = 12 and 23 x 3 = 69
16
92
is equivalent to 4
23
because 4 x 4 = 16 and 23 x 4 = 92
The 3 inside angles of a triangle need to equal 180 degrees.
You are given 28 for one.
The second on is adding 58 + 77 = 135 degrees.
X = 180 - 28 - 135 = 17 degrees
X = first venture, y = second venture, z = third venture
x + y + z = 15,000
x + z = y + 7000
3x + 2y + 2z = 39,000
these are ur equations.....
x + y + z = 15,000
x - y + z = 7000
--------------------add
2x + 2z = 22,000
x + y + z = 15,000....multiply by -2
3x + 2y + 2z = 39,000
-------------------
-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
------------------add
x = 9,000
2x + 2z = 22,000
2(9000) + 2z = 22000
18,000 + 2z = 22000
2z = 22000 - 18000
2z = 4000
z = 4000/2
z = 2,000
x + y + z = 15,000
9000 + y + 2000 = 15,000
11,000 + y = 15,000
y = 15,000 - 11,000
y = 4,000
first venture (x) = 9,000 <==
second venture (y) = 4,000 <==
third venture (z) = 2,000 <==
Answer:
30 belongs to the set of real numbers, the set of rational numbers, the set of whole numbers, the set of natural numbers and the set of integers.
Step-by-step explanation:
