Answer:
c
Step-by-step explanation:
c appears to be the better description as the line on the left has a solid circle at x = 1 indicating it is defined for x ≤ 1
While the line on the right has an open circle at x = 1 indicating it is defined for x > 1
Both line segments have a negative slope, thus
y = - 2x + 1 x > 1
y = - x + 2 : x ≤ 1
Answer:
x - y = 118
Step-by-step explanation:
Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°
Since JOK is a straight line then
∠ JOP + ∠ POQ + ∠ QOK = 180 , that is
76 + 90 + y = 180
166 + y = 180 ( subtract 166 from both sides )
y = 14
Since MON is a straight line then
∠ MOK + ∠ KOQ + ∠ QON = 180, that is
x + 14 + 34 = 180
x + 48 = 180 ( subtract 48 from both sides )
x = 132
Thus
x - y = 132 - 14 = 118
Answer: 10
Step-by-step explanation:
Since integral from 1 to 4 of f(x) =10
To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method
Let U = 2x, dU = 2dx, dx = dU/2
Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.
Since this limit are the same as the limit for the question,
Therefore, F(4) - F(1) = F(8) - F(2) = 10
Substituting dx=dU/2
Gives,
Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10
