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3 years ago

Which could be the first step and simplifying this expression? Check all that apply.

Mathematics

1 answer:

Triss [41]3 years ago

7 0

$\bf \left( x^3x^{-6} \right)^2\implies \left( x^{3-6} \right)^2\implies \stackrel{1st~Step}{\left( x^{-3} \right)^2}\implies x^{-6}\implies \cfrac{1}{x^6}\\ \qquad \Downarrow\\ \stackrel{\textit{distributing the exponent}}{\left( x^{3\cdot 2}x^{-6\cdot 2} \right)}\\ \qquad \Downarrow\\ \stackrel{1st~Step}{x^6x^{-12}}\\ \qquad \Downarrow\\ x^{6-12}\\ \qquad \Downarrow\\ x^{-6}\\ \qquad \Downarrow\\ \cfrac{1}{x^6}$

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The coefficient of the ab term is

Jlenok [28]

Answer:

A coefficient is an integer that is written along with a variable or it is multiplied by the variable. For example, in the term 2x, 2 is the co-efficient.

Those variables which do not carry any number along with them, have a coefficient 1. For example, the term y has coefficient 1.

Step-by-step explanation:

5 0

4 years ago

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two

Solnce55 [7]

2 beginner, 6 intermediate, 3 advanced...total of 11

P(advanced) = 3/11
replaced
P(beginner) = 2/11

P(both) = 3/11 * 2/11 = 6/121 <=

8 0

4 years ago

Sam is a school leader. She wants to decide whether makeup should be allowed in school or not. She

anastassius [24]

Answer:

Following are the sample list can be attached as follows:

Step-by-step explanation:

In the given question some information is missing that is attachment of list which can be attached as follows:

please find the attachment list:

by evaluating the list it will give the answer that the both the samples most want to wear mascara the least want to wear lipstick.

8 0

4 years ago

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2-4n/3

ololo11 [35]

Answer:

(n- 2/3)²

Step-by-step explanation:

Perfect square trinomial is: a²+2ab+b²= (a+b)²

We have:

n² - 4n/3

It can be put as:

n² -2×n×2/3

Here we consider n = a and -2/3 = b, then

b²= (-2/3)²= 4/9

Now we add 4/9 to a given binomial to make it perfect square:

n² - 2×n×3/2 + 4/9= (n- 2/3)²

So, added 4/9 and got a perfect square (n- 2/3)²

7 0

4 years ago

Generate the nest three terms of each arithmetic sequence shown below.

o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

A)a1=-2 and d=4

We know that the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{2}=a_{1}+(2-1)d$

$a_{2}=a_{1}+(1)d$

Substituting the given value we get

$a_{2}= -2+(1)4$

$a_{2}= -2+4$

$a_{2}= 2$

------------------------------------------

Similarly

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the given value we get

$a_{3}= -2+(2)4$

$a_{3}= -2+8$

$a_{3}= 6$

-------------------------------------------------

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the given value we get

$a_{4}= -2+(3)4$

$a_{4}= -2+16$

$a_{4}= 10$

-------------------------------------------------------------------------------------------

B $a_n=a_{(n-1)}-8$ with $a_1=10$

$a_2=a_{(2-1)}-8$

$a_2=a_{1}-8$

Substituting the given value

$a_2= 10-8$

$a_2=2$

---------------------------------------------------------------------

$a_3=a_{(3-1)}-8$

$a_3=a_{2}-8$

Substituting the value

$a_3=2-8$

$a_3= -6$

---------------------------------------------------------------------

$a_4=a_{(4-1)}-8$

$a_4=a_{3}-8$

Substituting the value

$a_4= -6-8$

$a_4= -14$

-------------------------------------------------------------------------------------------

C) $a_1=3, a_2=1$

Here the difference is -2

the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the value we get

$a_{3}= 3+(2)-2$

$a_{3}= 3-4$

$a_{3}= -1$

------------------------------------------------------------------------------

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the value we get

$a_{4}= 3+(3)-2$

$a_{4}= 3-6$

$a_{4}= -3$

----------------------------------------------------------------------------------

$a_{5}=a_{1}+(5-1)d$

$a_{5}=a_{1}+(4)d$

Substituting the value we get

$a_{5}= 3+(4)-2$

$a_{5}= 3-8$

$a_{5}= -5$

4 0

3 years ago