Answer:
[ 4, ∞ )
Step-by-step explanation:
Given
8(x - 5) - 3x ≥ - 20 ← distribute and simplify left side
8x - 40 - 3x ≥ - 20
5x - 40 ≥ - 20 ( add 40 to both sides )
5x ≥ 20 ( divide both sides by 5 )
x ≥ 4
Solution set is [ 4, ∞ )
Answer:
30% = -0.1
Step-by-step explanation:
$0.28
because you just add them all up, go to this website,
https://www.assignmentexpert.com/homework-answers/mathematics/algebra/question-54115
Answer:
k = 7
Step-by-step explanation:
The given figures are lines f(x) and g(x)
For the line f(x), we have the y-intercept at (0, -3) and slope = (-1 - (-3))/(-3 - 0) = -2/3
Therefore, line f(x) = y - (-3) = -2/3·(x - 0) which gives f(x) = y = -3 - 2·x/3
For the line g(x), the y-intercept is (0, 4), and the slope is (4 - 2)/(0 - 3) = -2/3
The equation of the line g(x) is therefore, g(x) = y - 4 = -2/3·x, which simplifies to the slope and intercept form as g(x) = y = 4 - 2/3·x
Therefore, given that the transformation of f(x) to g(x) is given as g(x) = f(x) + k, we have;
k = g(x) - f(x) = 4 - 2/3·x - (-3 - 2·x/3) = 4 - 2/3·x + 3 + 2·x/3 = 7
∴ k = 7
