Answer:
y = -2x + 150
Step-by-step explanation:
y2 - y1 / x2 - x1
120 - 100 / 15 - 25
20 / -10
= -2
y = -2x + b
100 = -2(25) + b
100 = -50 + b
150 = b
Answer:
Step-by-step explanation:
Given functions are,
f(x) = x³ + 4x²
g(x) = 5x² - 1
(a). (f + g)(x) = f(x) + g(x)
= x³ + 4x² + 5x² - 1
= x³ + 9x² - 1
Since the composite function is defined for all values of x, domain of the function will be (-∞, ∞)
(b). (f - g)(x) = x³ + 4x² - (5x² - 1)
= x³ - x² + 1
Domain of the function : (-∞, ∞)
(c). (f.g)(x) = f(x) × g(x)
= (x³ + 4x²)(5x² - 1)
= 5x⁵+ 20x⁴ - x³ - 4x²
Domain of the function will be (-∞, ∞).
(d).
=
Since this function is not defined at [5x² - 1 = 0] Or x = ±
Therefore, Domain of the composite function will be,
(-∞, -) ∪ ∪ (, ∞)
Answer:
x = 15 , x = 2
Step-by-step explanation:
x = 15 , x = 2
The answer would be A. If 4x + 6 is the number of boats made in 1 day, then multiplying that by 12 would give us the number of boats made in 12 days so the equation would look like this:
12(4x + 6)