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Temka [501]
3 years ago
12

Solve the following proportion for u u/5=8/3 round answer to nearest tenth

Mathematics
1 answer:
rjkz [21]3 years ago
4 0

Answer:

Step-by-step explanation:

u/5=8/3

multiply by : 5

u = 40/3

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Solve the equation x^5-4x^4+4x^3+2x^2-5x+2=0
sergejj [24]

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

3 0
3 years ago
R is the midpoint of OP and QR is perpendicular to OP in the diagram below
dezoksy [38]

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

7 0
3 years ago
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

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:

             y=Asin(Bx+C)+D

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
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

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.

4 0
3 years ago
Translate “Twelve less than two-thirds a <br> number is 48” into an equation.
Vlad1618 [11]
Answer: 2/3x-12=48
remember that less than means it goes to the back
8 0
2 years ago
Read 2 more answers
I need help on 5 please help fast
djyliett [7]
 the correct answer is 83.

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8 0
3 years ago
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