Answer:
Her garden hose fills up the fish pond in her backyard at a rate of 24 gallons/minute
Step-by-step explanation:
her pond will be full with the above rate ^^^^^^ very soon
the equation is y=24x-256+40
9
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 = 3 or x = 4
Step-by-step explanation:
Given
x² + 12 = 7x ( subtract 7x from both sides )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero ( zero product property ) and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4