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kotegsom [21]
3 years ago
15

Factor each completely. 2x3 - 9x2 + 9x

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Answer:

x(2x−3)(x−3)

Step-by-step explanation:

2x^3−9x^2+9x

= x(2x−3)(x−3)

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Someone plz help me with this
Phoenix [80]

Answer:

5y^{6}\sqrt{2}

Step-by-step explanation:

We want to  simplify:

\sqrt{50y^{12}}

We rewrite as:

\sqrt{2\times25 \times (y^{6})^2}

We split the radical sign to obtain:

\sqrt{25} \times \sqrt{(y^{6})^2} \times \sqrt{2}

Simplify the square root for the perfect squares to get:

5y^{6}\sqrt{2}

Therefore the simplified form is: 5y^{6}\sqrt{2}

8 0
3 years ago
The given triangles are similar. Solve for x.
Maru [420]
The first one is 21.93 rounded up to 22.
8 0
3 years ago
This is due today i would appreciate it a lot if smn could help me with it :/
Vesnalui [34]

Answer:

Conclusion:

The rate of change of function 1  = 3

The rate of change of function 2 = 5/3

  • Hence, function 1 has a greater rate of change

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

  • Hence, function 2 has a greater initial value.

Step-by-step explanation:

Function 1)

Determining rate of change for function 1:

x        1         2         3         4

y       5        8          11        14

Finding the rate of change or slope using the formula

Rate of change = m = [y₂-y₁] / [x₂-x₁]

Taking any two points, let say (1, 5) and (2, 8)

Rate of change = m = [8-5] / [2-1]

                                 = 3/1

                                  = 3

Therefor, the rate of change of function 1 = m = 3

using point-slope form to determine the function equation

y-y₁ = m (x-x₁)

where m is the rate of change or slope

substititng m = 3 and the point (1, 5)

y - 5 = 3(x - 1)

y - 5 = 3x-3

y = 3x-3+5

y = 3x + 2

Thus, equation of function 1 will be:

y = 3x + 2

Determining Initial Value for Function 1:

substituting x = 0 in the equation to determine the initial value

y = 3(0)+2

y = 0+2

y = 2

Therefore, the initial Value of function 1 will be: y = 2

Function 2)

Determining the rate of change for function 2:

Given the function 2

y\:=\:\frac{5}{3}x+3

comparing with the slope-intercept form of a linear function

y = mx+b     where m is the rate of change

so the rate of change of function 2 = m = 5/3

Determining Initial Value for Function 2:

substituting x = 0 in the equation to determine the initial value

y\:=\:\frac{5}{3}x+3

y\:=\:\frac{5}{3}\left(0\right)+3

y = 0+3

y = 3

Therefore, the initial Value of function 2 will be: y = 3

Conclusion:

The rate of change of function 1  = 3

The rate of change of function 2 = 5/3

  • Hence, function 1 has a greater rate of change

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

  • Hence, function 2 has a greater initial value.

8 0
3 years ago
Given the graphs of f(x) = x – 1 and g(x) = –x – 7, what is the solution to the equation f(x) = g(x)?
Ghella [55]

Answer:

(-3, -4)

Step-by-step explanation:

f(x) = x – 1 and g(x) = –x – 7

f(x) = g(x)

  • x-1= -x-7
  • 2x= -6
  • x= -3
  • f,g= -4
4 0
3 years ago
The scatterplot models the relationship between the length of a Louisiana alligator and the width of the alligators belly.Which
erastovalidia [21]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
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