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2 years ago

6

WILL MARK BRAINLIEST!

1 answer:

mihalych1998 [28]2 years ago

8 0

Answer:

x= -1, y= 1

Step-by-step explanation:

2x + 6y = 4.........(1)

8x - 5y = 45........(2)

multiply equation (1) by 4

8x + 24y = 16......(3)

subtract equation (3) by (2)

29y = 29

y = 1

then substitute y=1 in equation (1)

2x + 6(1) = 4

solving for x

x = -2/2 = -1

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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

2 years ago

Write to explain how subtracting 4/5 - 3/5 is similar to subtracting 4 -3

kondor19780726 [428]

Subtracting fractions with a common denominator, you subtract only the numerator, which are 4 and 3, and keep the common denominator the same, underneath the fraction. It is just subtracting 4 and 3 and putting them in a fraction, just like 4-3

6 0

2 years ago

Read 2 more answers

Solve for x.<br> х<br> G<br> 9<br> 3

mash [69]

Ttthe said she had no reason why he would be able answer that he had been in ,.....

6 0

2 years ago

Plz help!! And show work plz 18 points!

garri49 [273]

75√109.5=1.46
1.2√79.1=65.92
5.2√9.16=1.76
17.1 =17.1

4 0

2 years ago

2HR 37MIN - 1HR 15 MIN

dlinn [17]

Answer:

No

Step-by-step explanation:

2hours and 37min is not the equivilent to 1hour and 15min

6 0

2 years ago