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Angelina_Jolie [31]
3 years ago
8

What is equivalent to 7/8 and don't write 14/16

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

7/8 is equivalent to 56/64

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What is the solution of the equation (x – 5)2 3(x – 5) 9 = 0? use u substitution and the quadratic formula to solve.
Ahat [919]

The value of x in the equation (x-5)^{2} +3(x-5)+9=0is x=(7+3\sqrt{3}i)/2,

(7-3\sqrt{3}i)/2.

Given equation (x-5)^{2} +3(x-5)+9=0 .

We have to find the solution of the equation.

Equation  is solved to find the value of variables. The number of values of the variable depends on the highest power of variables.

let (x-5)=u-------------------1

equation becomes u^{2} +3u+9=0

solution of a quadratic formula

x=-b±\sqrt{b^{2} -4ac}/2a

on comparing with general form a=1,b=3, c=9

u=-3±\sqrt{3^{2} -4*1*9} /2

=-3±\sqrt{9-36}/2

=-3±3\sqrt{-27}/2

=-3±3\sqrt{3} i/2

u_{1} =-3+3\sqrt{3}/2 , u_{2}=-3-3\sqrt{3}/2

put the values of u_{1} in equation 1

x-5=u_{1}

x-5=-3+3\sqrt{3} /2

x=-3+3\sqrt{3}i/2+5

x=7+3\sqrt{3} i/2

put the values of u_{2} in  equation2

x-5=u_{2}

x-5=-3-3\sqrt{3} /2

x=7-3\sqrt{3}/2

Hence the values of x are 7+3\sqrt{3}i/2, 7-3\sqrt{3}i/2.

Learn more about equation at brainly.com/question/2972832

#SPJ4

5 0
2 years ago
What is the critical value t' for constructing a 90% confidence interval for a mean from a sample size of
Maksim231197 [3]

Answer:

sssssssssssssssssssssssssss

Step-by-step explanation:

8 0
3 years ago
Express 72 as a product of its prime factors​
NISA [10]

Answer:

okay

Step-by-step explanation:

2^3 times 3^2

6 0
4 years ago
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Rewrite 2/20 : 1/40 as a unit rate
Usimov [2.4K]

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
The size of the red squirrel population has decreased exponentially
aalyn [17]

Answer:

The size of the population of red squirrels in the UK at the start of 2010 is 3772

Step-by-step explanation:

At the start of 2016 , No. of squirrels = 10000

The rate of decrease is 15% per year.

So, No. of squirrels after x years = 10000(1-0.15)^x

We are supposed to find the size of the population of red squirrels in the UK at the start of 2010.

So,No. of squirrels after 6 years = 10000(1-0.15)^6=3771.49

Hence the size of the population of red squirrels in the UK at the start of 2010 is 3772

8 0
3 years ago
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