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Setler79 [48]
2 years ago
13

Write 6(9+2k)= -3 in written form

Mathematics
1 answer:
Alchen [17]2 years ago
4 0

Answer:

27k+3=0

Step-by-step explanation:

Write in standard form.

this way?

You might be interested in
Will Mark Brainiest!!! Simplify the following:
xz_007 [3.2K]

Answer:

1.B

2.A

3. B

Step-by-step explanation:

1. \frac{x+5}{x^{2} + 6x +5 }

We have the denominator of the fraction as following:

x^{2} + 6x + 5 \\= x^{2} + (1 + 5)x + 5\\= x*x + 1x + 5x + 5*1\\= x ( x + 1) + 5(x + 1)\\= (x + 1) (x + 5)

As the initial one is a fraction, so that its denominator has to be different from 0.

=> (x^{2} +6x+5) ≠ 0

⇔ (x +1) (x +5) ≠ 0

⇔ (x + 1) ≠ 0; (x +5) ≠ 0

⇔ x ≠ -1; x ≠ -5

Replace it into the initial equation, we have:

\frac{x+5}{x^{2} + 6x +5 } = \frac{x+5}{(x+1)(x+5)}

As (x+5) ≠ 0; we divide both numerator and denominator of the fraction by (x +5)

=> \frac{x+5}{x^{2} + 6x +5 } = \frac{x+5}{(x+1)(x+5)} = \frac{1}{x+1}

So that \frac{x+5}{x^{2} + 6x +5 } = \frac{1}{x+1} with x ≠ 1; x ≠ -5

So that the answer is B.

2. \frac{(\frac{x^{2} -16 }{x-1} )}{x+4}

As the initial one is a fraction, so that its denominator has to be different from 0

=> x + 4 ≠ 0

=> x ≠ -4

As \frac{x^{2}-16 }{x-1} is also a fraction, so that its denominator (x-1) has to be different from 0

=> x - 1 ≠ 0

=> x ≠ 1

We have an equation: x^{2} - y^{2} = (x - y ) (x+y)

=> x^{2} - 16 = x^{2} - 4^{2} = (x -4)  (x +4)

Replace it into the initial equation, we have:

\frac{(\frac{x^{2} -16 }{x-1} )}{x+4} \\= \frac{x^{2} -16 }{x-1} . \frac{1}{x + 4}\\= \frac{(x-4)(x+4)}{x-1}. \frac{1}{x + 4}

As (x + 4) ≠ 0 (proven above), we can divide both numerator and the denominator of the fraction by (x +4)

=> \frac{(x-4)(x+4)}{x-1} .\frac{1}{x+4} =\frac{x-4}{x-1}

So that the initial equation is equal to \frac{x-4}{x-1} with x ≠-4; x ≠1

=> So that the correct answer is A

3. \frac{x}{4x + x^{2} }

As the initial one is a fraction, so that its denominator (4x + x^2) has to be different from 0

We have:

(4x + x^2) = 4x + x.x = x ( x + 4)

So that:  (4x + x^2) ≠ 0 ⇔ x ( x + 4 ) ≠ 0

⇔ \left \{ {{x\neq 0} \atop {(x+4)\neq0 }} \right.  ⇔ \left \{ {{x\neq 0} \atop {x \neq -4 }} \right.

As (4x + x^2) = x ( x + 4) , we replace this into the initial fraction and have:

\frac{x}{4x + x^{2} } = \frac{x}{x(x+4)}

As x ≠ 0, we can divide both numerator and denominator of the fraction by x and have:

\frac{x}{x(x+4)} =\frac{x/x}{x(x+4)/x} = \frac{1}{x+4}

So that \frac{x}{4x+x^{2} }  = \frac{1}{x+4} with x ≠ 0; x ≠ -4

=> The correct answer is B

3 0
3 years ago
Hanna's dad is designing a new rectangular garden for his backyard. He has a 20ft fence to put around the garden. He wants the l
vovangra [49]

Answer:

<em>3 3/4 feet</em>

Step-by-step explanation:

Given

Perimeter of the garden = 20ft

If he wants the length of the garden to be 2 1/2 longer than its width, then;

L = 2 1/2 + W

L is the length

W is the width

Perimeter of the garden = 2(L+W)

P20 = 2(5/2 + W+W)

20 = 5 + 2W+2W

20 - 5 = 4W

15 = 4W

W = 15/4

<em>W = 3 3/4 ft</em>

<em>Hence the width of the garden is 3 3/4 feet</em>

7 0
3 years ago
Whats the answer bye
TEA [102]
<h3>Answer:</h3>
  • A (graph below)
  1. Not appropriate
  2. Appropriate
  3. Not appropriate
<h3>Step-by-step explanation:</h3>

1st Question

The transformation g(x) = f(x -h) +k translates a function h units to the right and k units upward. Your expression has (h, k) = (-2, -4), so the graph of the function will be translated 2 units left and 4 units down.

A distinctive feature of the cube root curve is the vertical spot normally at point (0, 0). You're looking for the graph that has that relocated to (-2, -4). Graph A matches that.

2nd Question

  1. The method described is a reasonable one for choosing a random sample of theater patrons, but there is no reason to believe theater patrons are representative of all drivers in the city. The method is not appropriate.
  2. Provided the persons in the study are representative of the demographic of interest, assigning them to study groups based on the flip of a coin is appropriate.
  3. The variable under study is previous exposure to chicken pox, so members of the study groups need to be chosen on that basis. Participants in the study need to be carefully selected to control for all other variables. The group assignment described is not appropriate.

3 0
3 years ago
Read 2 more answers
The number of children studying in different schools of kanpur is 6,45,55,587 . If the number of boys is 4,55,25,400, find the n
KiRa [710]

Answer:

19030187 girls

Step-by-step explanation:

Total number of children = 6,45,55,587

number of boys =4,55,25,400

Number of girls= (Total number of children ) - (number of boys )

= (6,45,55,587)-(4,55,25,400)

= 19030187 girls

The number of girls. Is 19030187

3 0
3 years ago
What's is there answer to4 3/4× 5 3/8
ankoles [38]

Good evening :)

4 3/4 * 5 3/8

= 19/4 * 43/8

=Multiply numerator together and denominator together

= 817/32


I hope that's help !

5 0
3 years ago
Read 2 more answers
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