Answer:
second choice, or 2(m - 3) + 7 >= 11
Step-by-step explanation:
2(m - 3) + 7 >= 11
2m - 6 + 7 >= 11
2m +1 >= 11
2m>= 10
m >= 5
Answer:
f(x) = |x| - 7
Step-by-step explanation:
The given equation is g(x) = |x|......... (1)
The vertical translation by 7 units down will not change the value of x, the only change will be in the value of g(x).
The vertical translation by 7 units down will change the value of g(x) by [g(x) + 7] in the left-hand side of the equation (1).
Therefore, the equation will become g(x) + 7 = |x|
⇒ g(x) = |x| - 7.
Otherwise we can represent the function as some other name say f(x).
So, f(x) = |x| - 7. (Answer)
Answer:
y < 6 + 16x
Or
y < 16x + 6
Step-by-step explanation:
The inequality 16x - y > -6 cam be rewritten in the slope-intercept form, y > mx + b as follows:
16x - y - 16x > -6 - 16x (subtraction property)
-y > -6 - 16x
Divide both sides by -1 (the inequality sign will change from > to < because we are dividing by a negative number)
-y/-1 < -6/-1 - 16/-1
y < 6 + 16x
Or
y < 16x + 6
Gabriel Mouton
Early development. Most historians agree that Gabriel Mouton, the vicar of St. Paul's Church in Lyons, France, is the “founding father” of the metric system. He proposed a decimal system of measurement in 1670.
