Answer:
Original equation:
y = a sin(b(θ -c)) + d
a = vertical dilation (stretch) of the amplitude
b = horizontal compression (shrink) of the period
c = horizontal shift (left/right)
d = vertical shift (up/down)
Your function is:
y = 3 sin(3θ + π) - 2
First, put it into the general from by factoring out the three in the argument of the sine:
y = 3 sin(3(θ + π/3)) - 2
a = vertical (amplitude) dilation = 3
b = horizontal (period) compression = 2π/period = 3
c = horizontal shift = π/3 to the left
d = vertical shift = -2
Answer:
UWUWUWUUWUWUWUWUUWUWUW
Step-by-step explanation:
UwU OwO
y = 2x + 3
the equation of a line in slope-intercept form is
y = mx + b ( m is the slope and b the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (- 2, - 1) and (x₂, y₂) = (2, 7)
m =
=
= 2
y = 2x + b ← is the partial equation
to find b substitute either of the 2 points into the partial equation
using (2, 7 ), then
7 = 4 + b ⇒ b = 7 - 4 = 3
y = 2x + 3 ← in slope-intercept form
Answer:
25/56
Step-by-step explanation:
Prob of white = 3/8
Probability of not white = 1 - 3/8
= 5/8
Second pick without replacement
Probability of white = 2/7
Probability of not white = 1 - 2/7
= 5/7
Total probability = 5/8 x 5/7
= 25/56
Answer:
B
Step-by-step explanation:
B