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denis23 [38]
2 years ago
14

Solve the following for y: −6x + 2y = 8

Mathematics
2 answers:
TEA [102]2 years ago
8 0

Answer:

y = 3x+4

Step-by-step explanation:

−6x + 2y = 8

To solve for y we need to get y alone

To isolate 2y we eliminagte -6x, add 6x on both sides

−6x+6x + 2y = 8+6x

2y = 6x+8

To get y alone , we need to eliminate 2 from y

Divide both sides by 2

y = 3x+4

Masteriza [31]2 years ago
6 0
-6x + 2y = 8
isolate the y
first add 6x to both sides
2y = 6x + 8 
then divide everything by 2 to isolate the y
y = 3x + 4

Hope this helps
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V125BC [204]
8.75 x 10 = 87.50, easiest way to figure out is divide each amount by each answer choice
3 0
3 years ago
Read 2 more answers
Serenity invested $2,400 in an account paying an interest rate of 3.4% compounded
Alisiya [41]

Answer:

It would take 5.9 years to the nearest tenth of a year

Step-by-step explanation:

The formula of the compound continuously interest is A = Pe^{rt} , where

  • A is the value of the account in t years
  • P is the principal initially invested
  • e is the base of a natural logarithm
  • r is the rate of interest in decimal

∵ Serenity invested $2,400 in an account

∴ P = 2400

∵ The account paying an interest rate of 3.4%, compounded continuously

∴ r = 3.4% ⇒ divide it by 100 to change it to decimal

∴ r = 3.4 ÷ 100 = 0.034

∵ The value of the account reached to $2,930

∴ A = 2930

→ Substitute these values in the formula above to find t

∵ 2930 = 2400e^{0.034t}

→ Divide both sides by 2400

∴ \frac{293}{240} = e^{0.034t}

→ Insert ㏑ in both sides

∴ ㏑(\frac{293}{240}) = ㏑(e^{0.034t})

→ Remember ㏑(e^{n}) = n

∴ ㏑(\frac{293}{240}) = 0.034t

→ Divide both sides by 0.034 to find t

∴ 5.868637814 = t

→ Round it to the nearest tenth of a year

∴ t = 5.9 years

∴ It would take 5.9 years to the nearest tenth of a year

8 0
2 years ago
The question attached please.
Luda [366]

One adult ticket costs £11 and one child ticket costs £8.5

Step-by-step explanation:

Let,

Adult ticket = a

Child ticket = c

According to given statement;

3a+4c=67   Eqn 1

5a+6c=106   Eqn 2

Multiplying Eqn 1 by 5;

5(3a+4c=67)\\15a+20c=335\ \ \ Eqn\ 3

Multiplying Eqn 2 by 3;

3(5a+6c=106)\\15a+18c=318\ \ \ Eqn\ 4

Subtracting Eqn 4 from Eqn 3

(15a+20c)-(15a+18c)=335-318\\15a+20c-15a-18c=17\\2c=17\\

Dividing both sides by 2

\frac{2c}{2}=\frac{17}{2}\\c=8.5

Putting c=8.5 in Eqn 1

3a+4(8.5)=67\\3a+34=67\\3a=67-34\\3a=33

Dividing both sides by 3;

\frac{3a}{3}=\frac{33}{3}\\a=11

One adult ticket costs £11 and one child ticket costs £8.5

Keywords: Linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

6 0
3 years ago
VALUE<br> RATIONAL OR IRRATIONAL?<br> 1.<br> 55<br> 2. V126<br> 5. 0.7
neonofarm [45]

Answer:

1 rational

2 . irrational

3 irrational

4 rational

5 rational

4 0
2 years ago
What is the answer for X and Y<br> (Geometry)
Natasha2012 [34]

Answer: y =21; x = 7√3

have: cos 60° = x/(14√3) = 1/2 => x = 1/2. (14√3) = 7√3

sin 60° = y/(14√3) = (√3)/2 => y = (√3)/2 . 14√3 = 21

Step-by-step explanation:

4 0
3 years ago
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