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tino4ka555 [31]
2 years ago
14

Which expression is equivalent to ^3√216x^27? 6x3 6x9 72x3 72x9

Mathematics
2 answers:
hichkok12 [17]2 years ago
8 0
To solve this problem you must apply the proccedure shown below:
 1. You have the following expression given in the problem above:
 \sqrt[3]{216 x^{27} }
 2. Rewriting the expression we have: 
 \sqrt[3]{6^3 x^{27} }
 3. You have that 6^3 and the exponent 27
 are divisible by index 3
. Therefore, you have:
 \sqrt[3]{216 x^{27} } =6 x^{9}
 Therefore, as you can see,
 the answer is the option, which is: 6 x^{9} 

Artyom0805 [142]2 years ago
8 0

Answer:

b

Step-by-step explanation:

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Write the equation of the line that passes through the points (0,8) and (-1, –4).
andrey2020 [161]

Answer:

Step-by-step explanation

First, let's remember the equation for point-slope form and how to find the 'm' value:

y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12

Now plug your m value and (x1, y1) into point-slope form:

y - 8 = 12(x-0)\\reduce\\y=12x+8

8 0
2 years ago
The function f(t) = t2 + 4t − 14 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Sh
Cloud [144]

Answer:

A)  The vertex ( h , k) = ( -2 , -18)

B) The minimum value of the given function = - 18

C) The Axis of the symmetry for f(t) is y -axis

Step-by-step explanation:

A)

Given a parabola   f(t) = t² + 4 t − 14

                               f(t) =  t² + 2(2) t + (2)²-4− 14

                           f(t) = (t +2)² - 18

Let comparing  y = (x +2)² -18

                   (x +2)² = y + 18

                   (x-h))² = 4 a ( y - k))²

<em>The vertex ( h , k) = ( -2 , -18)</em>

B)

  Given a parabola   f(t) = t² + 4 t − 14

  Differentiating with respective to 't'

                                 f¹(t) = 2 t + 4

                                  f¹(t) = 2 t + 4 = 0

now                      t = \frac{-4}{2} = -2

Again Differentiating with respective to 't'

                    f^{ll} (t) = 2 (1) >0

f(x) has a minimum value at t = -2

Given f(t) = t² + 4 t − 14

         f( -2) = 4 + 4(-2) -14 = 4 -8 -14 = -18

The minimum value of the given function = - 18

C)

f(t) = (t +2)² - 18

Let comparing  y = (x +2)² -18

                   (x +2)² = y + 18

                   (x-h))² = 4 a ( y - k))²

The vertex ( h , k) = ( -2 , -18)

The Axis of the symmetry for f(t) is y -axis

8 0
3 years ago
Solve the system of equations using substitution and Elimination
juin [17]
<h2>Greetings!</h2>

Answer:

y = \frac{-18}{7} and x = \frac{50}{7}

Step-by-step explanation:

To solve simultaneous equations, you need to have the number in front of both x's or y's the same. (signs doesn't matter)

To get -x to -10x we simply  need to multiply the first equation by 10:

-x * 10 = -10x

-9y * 10 = -90y

16 * 10 = 160

-10x - 90y = 160

Now we can add the two equations:

-10x + 10x = 0

-90y + 20y = -70y

160 + 20 = 180

-70y = 180

70y = -180

7y = -18

y = \frac{-18}{7}

Now plug \frac{-18}{7} into the second equation:

10x + 20(\frac{-18}{7}) = 20

10x - \frac{360}{7} = 20

Move the \frac{360}{7} over to the other side, making it a positive:

10x = 20 + \frac{360}{7}

10x = \frac{500}{7}

Divide both sides by 10:

x = \frac{50}{7}

So y = \frac{-18}{7} and x = \frac{50}{7}


<h2>Hope this helps!</h2>
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2 years ago
Which of the following would best be addressed by a scatter plot?
djyliett [7]

Answer:

C

Step-by-step explanation:

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6 0
2 years ago
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CaHeK987 [17]
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