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nalin [4]
3 years ago
13

Abriana claims that the solution to the system of linear equations y = 2x – 1 and –12x + 3y = 9 is (–2, –5). Select all methods

that could be used to prove Paige's claim.
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

Substitution method can be used

Step-by-step explanation:

Given the system of equations

y = 2x-1 ....1

-12x + 3y = 9 ....2

The best method to use id the substitution method

Substitute equation 1 into 2;

From 2;

-12x + 3y = 9

-4x + y = 3

-4x + 2x-1 = 3

-2x -1 = 3

-2x = 3+1

-2X = 4

x = -4/2

x = -2

Substitute x = -2 into 1

y = 2x - 1

y = 2(-2)-1

y = -4-1

y = -5

Hence the solution to the system of equation is (-2, -5)

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Answer:

reflection across y

Step-by-step explanation:

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What is (-oo,-11) U (5,oo)​
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4 years ago
PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! Explain how to use estimation to help find the product of two decimals. Give an example
san4es73 [151]
You can use estimation to find the product of two decimals by rounding both the decimal’s so the nearest tenth or tens place (depending on how long it is) and then multiplying the decimals.

for example, if you had 4.6 and 8.9, you have to round the 4.6 and 8.9. you round the 4.6 up to 5 because the 6 bumps the 4 up to 5) and then round 8.9 to 9 (because the 9 bumps the 8 up to 8.) then, multiply 5 and 9 and you get 45!
6 0
3 years ago
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Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
The cost of a bagel and a cup of coffee is $2.35. The cost of 2 bagels and a cup of coffee is $4.20. What is the cost of one cup
Gnesinka [82]

Hey!

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

Solution and Answer:

4.20 - 2.35 - $1.85 per bagel.

1.85 x 2 = $3.70 for 2 bagels.

4.20 - 3.70 = $0.50 per coffee.

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

Hope This Helped ;)

7 0
3 years ago
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