Answer:
x = 2 or x = 1 or x = -1
Step-by-step explanation:
Solve for x over the real numbers:
x^5 - 4 x^4 + 4 x^3 + 2 x^2 - 5 x + 2 = 0
The left hand side factors into a product with three terms:
(x - 2) (x - 1)^3 (x + 1) = 0
Split into three equations:
x - 2 = 0 or (x - 1)^3 = 0 or x + 1 = 0
Add 2 to both sides:
x = 2 or (x - 1)^3 = 0 or x + 1 = 0
Take cube roots of both sides:
x = 2 or x - 1 = 0 or x + 1 = 0
Add 1 to both sides:
x = 2 or x = 1 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 2 or x = 1 or x = -1
Answer:
24 in
Step-by-step explanation
Using pythagorean theorem, since OP is 20 inches and has a midpoint. RP= 10 and OR=10. The hypotenuse is given as 26 so do 26^2=10^2+a. 676= 100+a^2, subtract 100 from both sides. square root of 576 is 24
Answer:
- See the graphs attached and the explanation below
Explanation:
The most simple sine function, considered the parent function, is:

That function has:
- Midline, also known as rest or equilibrium position: y = 0
- Minimum: - 1
- Maximum: 1
- Amplitude: the distance between a minimum or a maximum and the midline = 1
- period: the interval of repetition of the function = 2π
The more general sine function is:

That function has:
- Midline: y = D (it is a vertical shift from the parent function)
- Minimum: - A + D
- Maximum: A + D
- Amplitude: A
- period: 2π/B
- phase shift: C (it is a horizontal shift of the from the parent function)
Now, you have to draw the sine function with the given key features:
- Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
- midline y = - 1 ⇒ D = - 1
Substitute the know values and use the y-intercept to find C:

Substitute (0, -1)

Hence, the function to graph is:

To draw that function use this:
- Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
- Minima: 3(-1) - 1 = - 3 - 1 = -4
- y-intercept: (0, - 1)
- x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
- first point of the midline: (0, -1) it is the same y-intercept
With that you can understand the graphs attached.
Answer: 2/3x-12=48
remember that less than means it goes to the back
the correct answer is 83.
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