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2 years ago

13

can i please get an answer for this and a vivid explanation of how to solve it please. WILL MARK AS BRAINLIEST!

2 answers:

Lunna [17]2 years ago

5 0

Answer:

$9a^3b^3$

Step-by-step explanation:

marishachu [46]2 years ago

5 0

The answer is (ab)^3=a^3 b^3

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PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

5 0

3 years ago

Enter product in simplest form<br>1/4×7 4/5

grigory [225]

Answer:

i believe the answer is 39/20 which could also be 13/7

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Plz help me out with this and do show work I will be waiting.... btw u will be marked brainliest!!!!!! Fast plz

pychu [463]

Answer:

x=16°

Step-by-step explanation:

5*x-30=2*(x+18)

For the second, I'd say it is:

5*x-30=2*x+18

Let's solve both.

5*x-30=2*(x+18)

5x-30=2x+36

3x=66

x=22

5*x-30=2*x+18

3x+48

x=16°

8 0

3 years ago

Someone please help me with this

11Alexandr11 [23.1K]

2/3 and 8/12 are proportional but 3/14 and 8/28 aren’t

5 0

2 years ago

bobby’s christmas list had 3 more than twice as many items on it than johnny’s list. johnny asked for 8 fewer items than bobby.

Nataly [62]

Answer:

<em>Johnny had </em><em>5</em><em> items and Bobby had </em><em>13</em><em> items.</em>

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

$\Rightarrow y=3+2x$ ----------1

Johnny asked for 8 fewer items than bobby. So,

$\Rightarrow y-8=x$ -----------2

Putting the value of x from equation 2 in equation 1, we get

$\Rightarrow y=3+2(y-8)$

$\Rightarrow y=3+2y-16$

$\Rightarrow 2y-y=16-3$

$\Rightarrow y=13$

Putting the value of y in equation 2,

$\Rightarrow 13-8=x$

$\Rightarrow x=5$

So, Johnny had 5 items and Bobby had 13 items.

3 0

3 years ago