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3 years ago

What’s 16+5x+x=1+3x ??

Mathematics

1 answer:

kati45 [8]3 years ago

3 0

Answer:

-5

Step-by-step explanation:

1: simplify both sides of the equation. (combine like terms)

2: subtract 3x from both sides

3: subtract 16 from both sides

4: divide both sides by 3

i hope that helped!

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How to justify each step in the solution of 5x+15=0

velikii [3]

Answer:

Step-by-step explanation:

The given equation is:

5x+15 =0

Subtract 15 from both sides:

5x+15-15= 0-15

By solving the like terms we get:

5x=-15

Divide both sides by 5

5x/5 = -15/5

Simplify:

x= -3...

8 0

3 years ago

LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………

sergejj [24]

Answer:

$(x^2 - 9)(x + 2)$

Step-by-step explanation:

Given:

$x^2 + 5x + 6$

$x^2 - x - 6$

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

$x^2 + 5x + 6$

$x^2 + 3x + 2x + 6$

$(x^2 + 3x) + (2x + 6)$

$x(x + 3) + 2(x + 3)$

$(x + 2)(x + 3)$

$x^2 - x - 6$

$x^2 - 3x +2x - 6$

$x(x - 3) + 2(x - 3)$

$(x + 2)(x - 3)$

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

$x^2 + 5x + 6 = (x + 2)(x + 3)$

$x^2 - x - 6 = (x + 2)(x - 3)$

The common factors would be: =>

$(x + 2)$ (this is common in both polynomials, so we would take just one of them as a factor.

$(x + 3)$ and,

$(x - 3)$

Their product = $(x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)$

4 0

3 years ago

Recall that a 6-bit string is a bit strings of length 6, and a bit string of weight 3, say, is one with exactly three 1's. How m

strojnjashka [21]

Answer:

1.. Total number of 6 bit strings is 64

2. Number of 6-bit strings with weight of 0 is 1

3. Number of 6-bit strings with weight of 1 is 6

4. Number of 6-bit strings with weight of 3 is 20

5. Number of 6-bit strings with weight of 5 is 6

6. Number of 6-bit strings with weight of 6 is 1

7. Number of 6-bit strings with weight of 7 is 0

Step-by-step explanation:

A bit string is a string that contains 0 and 1 only

1. Total number of 6 bit strings is 2^6 = 64

2. Number of 6 bit strings with weight 0 is 1

Explanation

Weight 0 means a string with no occurrence of 1

Here, we are only interested in occurrence and not order of occurrence

We apply combination formula for this

nCr = n!/(n-r)!r!

n = 6 and r = 0 i.e. no occurrence of 1

6C0 = 6!/(6-0)!0!

6C0 = 6!/6!0!

6C0 = 1

Hence, the number of string with weight 0 (i.e. no occurrence of 1 ) is 1

3. Number of string with weight 1 is 6

Explanation

Weight 0 means a string with exactly 1 occurrence of '1'

Here, we are only interested in occurrence and not order of occurrence

We apply combination formula for this

nCr = n!/(n-r)!r!

n = 6 and r = 1

6C1 = 6!/(6-1)!1!

6C1 = 6!/5!1!

6C1 = 6

Hence, the number of string with weight 6

4. Number of string with weight 3 is 20

Explanation

n = 6 and r = 3

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 20

Hence, the number of string with weight 3 is 20

5. Number of string with weight 5 is 6

Explanation

n = 6 and r = 5

6C5 = 6!/(6-5)!5!

6C5 = 6!/1!5!

6C5 = 6

Hence, the number of string with weight 5 is 6

6. Number of string with weight 6 is 1

Explanation

n = 6 and r = 6

6C6 = 6!/(6-6)!6!

6C6 = 6!/0!6!

6C6 = 1

Hence, the number of string with weight 6 is 1

7. Number of string with weight 7 is 0

Weight of 7 means that a string that has 7 occurrence of 1

The total length of a 6 bit is 6

Since 6 is less than 7, there's no way a bit of weight 7 can occur.

So, the right answer for this is 0.

8 0

3 years ago

Katie invests $5,000 in an account earning 4% interest, compounded annually for 5 years. Two years after Katie's initial investm

Lyrx [107]

Emily earned $166 more in her account than Katie.

We use the compound interest formula for both of these:

$A=p(1+r)^t$

For Katie's deposit:
$A=5000(1+0.04)^5=5000(1.04)^5 = 6083.26$

This gives Katie 6083.26-5000 = 1083.26 in interest (1083, to the nearest dollar).

For Emily's deposit:
$A=10000(1+0.04)^3=10000(1.04)^3=11248.64$

This means she earned 11248.64-10000=1248.64 in interest (1249, to the nearest dollar).

The difference in interest is given by 1249-1083=166

4 0

3 years ago

Read 2 more answers

Describe how the product of 0.4 x 2 would look on a ten-square grid. The product would have (blank) squares shaded out of 10.

lawyer [7]

Answer:

The answer would be 0.8, 8 squares filled.

Step-by-step explanation:

This is because 0.4*2 is 0.8 and that out of a grid of 10 means that 8 cubes would be shaded.

5 0

4 years ago

Read 2 more answers