Answer:
Q13. y = sin(2x – π/2); y = - 2cos2x
Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1
Step-by-step explanation:
Question 13
(A) Sine function
y = a sin[b(x - h)] + k
y = a sin(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Phase shift = π/2.
2h =π/2
h = π/4
The equation is
y = sin[2(x – π/4)} or
y = sin(2x – π/2)
B. Cosine function
y = a cos[b(x - h)] + k
y = a cos(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Reflected across x-axis, y ⟶ -y
The equation is y = - 2cos2x
Question 14
(A) Sine function
(1) Amp = 2; a = 2
(2) Shifted down 1; k = -1
(3) Per = π; b = 2
(4) Phase shift = 0; h = 0
The equation is y = 2sin2x -1
(B) Cosine function
a = 2, b = -1; b = 2
Phase shift = π/2; h = π/4
The equation is
y = -2cos[2(x – π/4)] – 1 or
y = -2cos(2x – π/2) - 1
Answer:
2 is the answer
Step-by-step explanation:
hope it helps
Answer:
t=-8
Step-by-step explanation:
-5t-2(5t+10t)=100
-2 x 5t=-10t
-2 x 10 = -20
-5t-10t-20=100
combine terms and add 20
-15t=120
divide by -15
t=-8
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Answer:
For 1,000 bricks, the amount charged will be the same
Step-by-step explanation:
Let the number of bricks for which they charge the same amount be $x
Thus;
The total cost from the first company will
be;
250 + 0.2(x) = 250 + 0.2x
The second will charge;
400 + 0.05(x) = 400 + 0.05x
Since the amount charged will be equal at x bricks, we need to equate both;
400 + 0.05x = 250 + 0.2x
400-250 = 0.2x-0.05x
150 = 0.15x
x = 150/0.15
x = 1,000
