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MatroZZZ [7]
3 years ago
8

2(b+3)=2 solve and check solution

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0
2(b+3) = 2
2b + 6 = 2     ( -6 )
2b = -4         ( / 2)
b = -2 
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Brian invests £7900 into his bank account.
DENIUS [597]

Step-by-step explanation:

1. use the equation

current amount X interest to the power of years

commpound interest is 2.3%

The starting value is £7900

So: £7900*1.023^5=£8851.26

Therefore, the answer is £8851.26 after 5 years of interest added

Hope this helps!!!

Have a nice day :)

7 0
2 years ago
Find the real numbers x and y if -3+ix^2y and x^2+y+4i are conjugate of each other. Pls solve with the steps
Firdavs [7]
ANSWER
x = ±1 and y = -4.
Either x = +1 or x = -1 will work

EXPLANATION
If -3 + ix²y and x² + y + 4i are complex conjugates, then one of them can be written in the form a + bi and the other in the form a - bi. In other words, between conjugates, the imaginary parts are same in absolute value but different in sign (b and -b). The real parts are the same

For -3 + ix²y
⇒ real part: -3
⇒ imaginary part: x²y

For x² + y + 4i
⇒ real part: x² + y (since x, y are real numbers)
⇒ imaginary part: 4

Therefore, for the two expressions to be conjugates, we must satisfy the two conditions. 

Condition 1: Imaginary parts are same in absolute value but different in sign. We can set the imaginary part of -3 + ix²y to be the negative imaginary part of x² + y + 4i so that the 

   x²y = -4 ... (I)

Condition 2: Real parts are the same

   x² + y = -3 ... (II)

We have a system of equations since both conditions must be satisfied

   x²y = -4 ... (I)
   x² + y = -3 ... (II)

We can rearrange equation (II) so that we have

   y = -3 - x² ... (II)

Substituting into equation (I)

   x²y = -4 ... (I)
   x²(-3 - x²) = -4
   -3x² - x⁴ = -4
   x⁴ + 3x² - 4 = 0
   (x² + 4)(x² - 1) = 0
   (x² + 4)(x-1)(x+1) = 0

Therefore, x = ±1.
Leave alone (x² + 4) as it gives no real solutions.

Solve for y:

   y = -3 - x² ... (II)
   y = -3 - (±1)²
   y = -3 - 1
   y = -4

So x = ±1 and y = -4. We can confirm this results in conjugates by substituting into the expressions:

   -3 + ix²y 
   = -3 + i(±1)²(-4)
   = -3 - 4i

   x² + y + 4i
   = (±1)² - 4 + 4i
   = 1 - 4 + 4i
   = -3 + 4i

They result in conjugates
4 0
3 years ago
Read 2 more answers
What's the area of the trapezoid?
Lelechka [254]

Answer:

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Step-by-step explanation:

A=a+b

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3 0
3 years ago
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A map has a scale of 4 inches: 25 miles how far are two cities if they are 120 miles apart
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Answer: 19.2 inches

Step-by-step explanation:

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X= 19.2

4 0
2 years ago
Five people each write a positive integer on a piece of paper. If the average of these five integers is 8, what is the greatest
erik [133]

Answer:

Option D. 40

Step-by-step explanation:

Let

x------>the greatest possible value  

we know that

If four people write the number zero, then the average will be

8=(0+0+0+0+x)/5\\ \\40=0+x\\ \\x=40

6 0
3 years ago
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