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Crazy boy [7]
3 years ago
15

Y=2x−1

Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

(1,1) is a solution of the system.

Step-by-step explanation:

Let's solve the system.

y = 2x - 1

5x - 4y = 1

In the first equation, y is already separated as a function of x. So we replace in the second equation;

5x - 4(2x - 1) = 1

5x - 8x + 4 = 1

4 - 1 = 8x - 5x

x = 1

y = 2x - 1 = 2(1) - 1 = 1

(1,1) is a solution of the system.

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Pythagorean theorem pls help
Zarrin [17]

Answer:

a²+b²=c²

Step-by-step explanation:

8 0
2 years ago
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A) Find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s.
Fed [463]

Answer:

A) a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}

B) a_{0} = a_{1} = 0

C)   for n = 2

  a_{2} = 1

for n = 3

 a_{3} = 3

for n = 4

a_{4} = 8

for n = 5

a_{5} = 19

Step-by-step explanation:

A) A recurrence relation for the number of bit strings of length n that contain a  pair of consecutive Os can be represented below

if a string (n ) ends with 00 for n-2 positions there are a pair of  consecutive Os therefore there will be : 2^{n-2} strings

therefore for n ≥ 2

The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os

a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}

b ) The initial conditions

The initial conditions are : a_{0} = a_{1} = 0

C) The number of bit strings of length seven containing two consecutive 0s

here we apply the re occurrence relation and the initial conditions

a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}

for n = 2

  a_{2} = 1

for n = 3

 a_{3} = 3

for n = 4

a_{4} = 8

for n = 5

a_{5} = 19

7 0
3 years ago
Octavia buys a pair of jeans for $20.50 plus 8% tax.
dezoksy [38]

Answer:

$56.70 all together

Step-by-step explanation:

$22.14 for the jeans

$34.56 for the jacket

$56.7 all together

Take your tax and move the decimal over to the left by 2 spaces

8. becomes .08

take .08 and multiply it by the price so

20.50 x .08= 1.64

and

32 x .08=2.56

the number you get is how much the tax is, $1.64 is 8% of $20.15

take that number and add it to your price

$1.64+$20.50= $22.14

5 0
3 years ago
Read 2 more answers
Can I have some help?
lisabon 2012 [21]

Answer:

x =  \sqrt{58}

Step-by-step explanation:

first, you should draw a line to separate the triangle from the rectangle

You can get the height if the triangle by saying 16-9

This will give you 7

The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal

Now that we have the measurements of the triangle we can use the Pythagorean theorem

{c}^{2}  =  {a}^{2}  +   {b}^{2}

{x}^{2}  =  {7}^{2}  +  {3}^{2}

{x}^{2}  = 49+ 9

{x}^{2}  = 58

x =  \sqrt{58}

3 0
3 years ago
Helpppppppppppppppppp qwq<br><br> −60.48 ÷ 4.8=
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Answer:

-12.6

Step-by-step explanation:

5 0
3 years ago
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