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RSB [31]
3 years ago
6

For problems 12 - 14, Determine whether each sequence appears to be an

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Step-by-step explanation:

⇒12)It is an arithmetic sequence.

   d=2-1=3-2=4-3=1

    a(n) = a +(n-1)d

    a(n) = 1+(n-1)1

The next three terms:

a(6) = 1+(6-1)1=6

a(7) = 1+(7-1)1=7

a(8) = 1+(8-1)1=8

⇒13)It is an arithmetic sequence.

   d=0-3=-3-0=-6+3=-3

    a(n) = a +(n-1)d

    a(n) = 3+(n-1)-3

The next three terms:

a(5) = 3+(5-1)-3=-9

a(6) = 3+(6-1)-3=-12

a(7) = 3+(7-1)-3=-15

⇒14)It is <u>not </u>an arithmetic sequence.

⇒15) a(50) = 10 +(50-1)5

                  =<u>255</u>

<u>I hope this helps</u>

<u />

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hilton university drama club sold 311 tickets for a play. student tickets cost 50 cents each,nonstudent tickets cost $1.50. if t
tamaranim1 [39]

X= number of student tickets

Y= number of on student tickets

x+y=311

0.50x + 1.50y = 385.50


Solve x in 1st equation


X+y=311


X= -y + 311


Now substitute x into second equation to solve for y


0.50(-y+311)+ 1.50y = 385.50


-0.50y+311.50+1.50y=385.50

Y+311.50=385.50


Y= 385.50-311.50


Y= 74


Now substitute y answer to first equation to find x


X+y=311


X+ 74=311


X= 311-74


X= 237


So 237 students tickets and 74 non students tickets



4 0
3 years ago
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?
BigorU [14]
Y=-3/2x+7/2 is the answer!
7 0
3 years ago
Find the inverse of each function. Is the inverse a function? f(x)=x⁷
Luda [366]

The inverse of the function x^7 is x^-7 and it is also a function.

An inverse function or an anti function is defined as a function, which can reverse into another function.

A standard method to find inverse of a function is to set y=f(x)

let y= f(x)=x^7

thus

\sqrt[7]{y}=x

thus f^{-1}(y)=\sqrt[7]{y}

thus f^{-1} (x)=\sqrt[7]{x}

(To verify this if a function is inverse or not we are required to check for the identity)

f(f^{-1}(x))=f^{-1}(f(x))=x

Therefore, The inverse of the function x^7 is x^-7 and it is also a function.

For further reference:

brainly.com/question/2541698?referrer=searchResults

#SPJ4

3 0
1 year ago
What is 130% converted into a decimal?
Free_Kalibri [48]
Move the percent two places to the left 1.30
8 0
3 years ago
Simplify: −√16x^2 , when x&lt;0
Savatey [412]

Answer:

-4|x|

Step-by-step explanation:

To simplify :

-\sqrt{16x^2} , when x

In order to simplify the given expression we will take the square root of the term inside the root.

The term in the square root are perfect squares (square of an integer), so, we can write them in square of the numbers.

⇒ -\sqrt{(\pm4x)^2}   [As (\pm4x)^2=16x^2]

On taking square root the square gets removed. So, we have,

⇒ -(\pm4x)

⇒ -4|x|

Since x, so the value would be negative.

So, simplified answer is

-4|x|  (Answer)

3 0
3 years ago
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