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LenKa [72]
3 years ago
7

Ok now that the image works did I do this right?

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0
Yess!! That’s how u do it && continue to work hard!
You might be interested in
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
-x^2 - 0.5x -1 = 0           Multiply though by - 1
x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
7 0
3 years ago
Researchers were investigating whether there is a significant difference between two medications, R and S, designed to reduce fl
Gemiola [76]

Answer:

a

Step-by-step explanation:

trust me

4 0
3 years ago
Read 2 more answers
Gerardo has just invested in a bond worth $470 that is expected to increase in value by 6% per year. Write the equation used to
Viefleur [7K]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $470

r = 6% = 6/100 = 0.06

n = 1 because it was compounded once in a year.

Therefore, the equation used to determine the value of his bond after t years is

A = 470(1 + 0.06/1)^1 × t

A = 470(1.06)^t

3 0
3 years ago
What’s 1/5 divided by 1/12?
Ksivusya [100]
When divided fractions you flip the second fraction

1/5 x 12/1

This then equals
12/5

That simplifies to 2 2/5
7 0
2 years ago
Read 2 more answers
PLEASE HELP URGENT!!!!
Dovator [93]

Answer:

£ 21552.13

Step-by-step explanation:

P= £18790

r =4.9% = \frac{4.9}{100}=0.049

t = 3 years

I = Prt

I = 18790 * 0.049 * 3

 =£ 2762.13

After 3 years , the amount in Dan's account = 18790 + 2762.13

                                                                         = £ 21552.13

7 0
2 years ago
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