Answer:
The phase shift:
1 unit to the right and 1 unit up
Step-by-step explanation:
∵ y = 1 + sin2(x - 1)
∴ y = 1 + sin(2x - 2)
∵ y = Sin(Bx - C) + D
∵ The vertical shift is D
∴ The horizontal shift is -C/B
∴ The vertical shift is 1 unit up
∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right
Answer:
y=-1/2x-2
Step-by-step explanation:
<span>Simplifying
3a2 + -2a + -1 = 0
Reorder the terms:
-1 + -2a + 3a2 = 0
Solving
-1 + -2a + 3a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-1 + -3a)(1 + -1a) = 0
Subproblem 1Set the factor '(-1 + -3a)' equal to zero and attempt to solve:
Simplifying
-1 + -3a = 0
Solving
-1 + -3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -3a = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -3a = 0 + 1
-3a = 0 + 1
Combine like terms: 0 + 1 = 1
-3a = 1
Divide each side by '-3'.
a = -0.3333333333
Simplifying
a = -0.3333333333
Subproblem 2Set the factor '(1 + -1a)' equal to zero and attempt to solve:
Simplifying
1 + -1a = 0
Solving
1 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1
Combine like terms: 0 + -1 = -1
-1a = -1
Divide each side by '-1'.
a = 1
Simplifying
a = 1Solutiona = {-0.3333333333, 1}</span>
Sarah wanted to share her apple with 3 of her friends , but she only had 1/2 of an apple left. What math problem should she write to figure out how to split her apple. Explain your answer.
false becasue 11,12,13,14,15,16,17,18,19,20,21, and 22 is bigger and 111,112,113,114,115,116,117,118,119,120,121, and 122 is smaller.