Step-by-step explanation:
x+3y=-4(eqn1)
x=-4-3y
from (eqn 2)
2(-4-3y)+6y=5
-8-6y+6y=5
y=5+8=13.
y=13
from eqn 1
x+3(13)=-4
x+39=-4
x=-4-39
x=-43.
Answer:
Step-by-step explanation:
$40
from the given answers there is no answer
m=15
n=19
The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4
• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11
Then the average rate of change is
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
