Answer:
x = -3, 0, 2
Step-by-step explanation:
=> x³ + x² - 6x = 0
=> x(x² + x - 6) = 0
=> x² + x - 6 = 0 or x = 0
=> x² + 3x - 2x - 6 = 0 or x = 0
=> x(x + 3) - 2(x + 3) = 0 or x = 0
=> (x + 3)(x - 2) = 0 or x = 0
=> x = - 3 or x = 2 or x = 0
Let x be the number of new laptops and y be the number of tablets that
the company should buy. The equations that best show the given
conditions are as follows,
x + y = 30
515x + 285y = 11080
Solving simultaneously for the values of x and y gives an answer of x = 11 and y = 19.
Thus, the business should buy 11 laptops and 19 tablets.
The sequence of numbers decrease by 6 each time, so we can write:
f(1) = 5
f(2) = -1
f(3) = -7
f(1) - f(2) = 6
or:
f(2) = f(1) - 6
which means:
f(n + 1) = f(n) - 6
The last one is the answer
Answer:
- a = 1.11
- B = 105.4°
- c = 2.95
Step-by-step explanation:
B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°
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The missing side lengths can be found from the Law of Sines:
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11
Likewise, ...
b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95
