Answer:
Rational
Step-by-step explanation:
A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.
Answer:
<h2>
y - 2 = -3(x - 1)</h2>
Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of <em>m</em> that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = - 3
(1, 2) ⇒ x₀ = 1, y₀ = 2
Therefore:
y - 2 = -3(x - 1)
There is no exercise. I cannot answer it without an exercise.
Answer:
g(f(x)) = 9x² + 12x + 5
Step-by-step explanation:
g(f(x))
= g(3x + 2) ← substitute x = 3x + 2 into g(x)
= (3x + 2)² + 1
to expand (3x + 2)² = (3x + 2)(3x + 2)
each term in the second factor is multiplied by each term in the first factor
3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis
= 9x² + 6x + 6x + 4 ← collect like terms
= 9x² + 12x + 4
then
g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5
