The denominator of a fraction cannot be zero.Therefore in h(x) = f(x)/g(x), g(x) cannot equal zero, x + 6 cannot equal zero, x cannot equal -6. The domain of h(x) is ℜ - {-6}.
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Answer:
y = 2/5x
Step-by-step explanation:
Perpendicular lines are lines which have negative reciprocal slopes of each other.
The line y = -5/2 x + 2 has slope -5/2. Therefore its perpendicular slope will be 2/5.
The equation can cross anywhere on the y-axis for its y-intercept since no specific point is given. Here I chose (0,0).
y = 2/5x
Answer:
≈ 38.14 cm²
Step-by-step explanation:
Diameter of circle= 6.97 cm
Area of circle = ?
- Area = πr² = πd²/4 =
- 3.14*(6.97)²/4 ≈ 38.14 cm²
Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315