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eduard
3 years ago
9

Rewrite the expression as a sum of terms, where each term is in the form k\cdot a^nk⋅a

Mathematics
1 answer:
muminat3 years ago
8 0

Answer:

  2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}

Step-by-step explanation:

It looks like you want to expand the expression ...

  \sqrt{a}\left(2a^2 -\dfrac{4}{a}\right)

Use the distributive property and rules of exponents.

  =2a^{(\frac{1}{2}+2)}-4a^{(\frac{1}{2}-1)}\\\\=\boxed{2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}}

_____

The relevant rules of exponents are ...

  √a = a^(1/2)

  1/a = a^-1

  (a^b)(a^c) = a^(b+c)

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Which ordered pairs is a solution to −5x + 3y > 12?
In-s [12.5K]

<u>Answer </u><u>:</u><u>-</u>

Given inequality ,

  • -5x +3y > 12
  • 3y > 5x + 12
  • y > 5/3x + 12/3
  • y > 5/3x + 4

From the options ,

<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>and </u><u>y </u><u>=</u><u> </u><u>9</u>

  • y >1* 5 + 4
  • y > 5 +4
  • 9> 9 ( Not possible )

<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>5</u><u> </u><u>y</u><u> </u><u>is </u><u>5</u><u> </u>

  • y > 5/3*-5 + 4
  • y > -8.3 + 4
  • 5 > -3.7 ( Possible )

<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>y </u><u>is </u><u>-</u><u>6</u><u> </u>

  • y > 5 + 4
  • -6 > 9 ( Not possible )

<u>When </u><u>x </u><u>is </u><u>-</u><u>2</u><u> </u><u>y </u><u>is </u><u>-</u><u>5</u><u> </u>

  • y > -3.33 + 4
  • -5 > -0.67 ( Possible )

<u>When </u><u>x </u><u>is </u><u>2</u><u> </u><u>y </u><u>is </u><u>8</u><u> </u>

  • y > 3.33 + 4
  • 8 > 7.77 ( possible )

<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>6</u><u> </u><u>y </u><u>is </u><u>0</u><u> </u>

  • y > -10 +4
  • 0 > -6 ( possible )
7 0
3 years ago
Read 2 more answers
Find the nth term of the sequence 17,21,25,29…
USPshnik [31]

Answer:

Plass 4 every time

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), c
77julia77 [94]

The graphed function, F(x), has a value greater than 0 over the intervals (-0.7, 0.76) and (0.76,  ∞) . F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞) is the correct statement [Fourth choice].

About a Graphed Function

The function graph of an object F stands for the set of all points in the plane that are (x, f(x)). The graph of f is also known as the graph of y = f. (x). The graph of an equation is thus a specific example of the graph of a function. A graphed function is a function that has been drawn out on a graph.

It is evident from the attached graph that the supplied function exceeds 0 for the following range:

-0.7 < F(x) < 0.76

And, 0.76 < F(x) < ∞

As a result, the intervals for which the given graphed function, F(x) is greater than 0 are as follows,

(-0.7, 0.76) and (0.76, ∞)

Learn more about a graphed function here:

brainly.com/question/27757761

#SPJ1

3 0
1 year ago
Which of the following are true statements about the expression 12^5
Usimov [2.4K]
12×12×12×12×12 is equivalent to 12^5 (a^b means a is to be written down B times all being multiplied.)
4 0
3 years ago
The sum of the ages of ahsan and his mother is 61 years.The difference in their ages is 29 years.By forming a pair of simultaneo
Llana [10]

Answer:

(i). Ahsan's Present Age = 16

(ii). Age of Ahsan's Mother when ahsan is 21 years old = 50

Step-by-step explanation:

Let's say, x represents the age of ahsan.

y represents the age of his mother.

The system of equation from the date given is:

\begin{bmatrix}x+y=61\\ -x+y=29\end{bmatrix}

Solve them will get us:

x=16,\:y=45

Regards: Umer

8 0
3 years ago
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