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2 years ago

What is 5( x - 3 ) = 5x - 15?

2 answers:

Volgvan2 years ago

6 0

$\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}$

The answer is 0.
LHS = RHS, hence verified.

Value of x (substitute 0 in the place of x).

$\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}$

So, value of x is 0.

7nadin3 [17]2 years ago

6 0

Answer:

<h2>Please click above answer.</h2>

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Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

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3 years ago

What would be the slope for this problem?

elixir [45]

Y = 0x + 3

Please mark brainiest :)

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3 years ago

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The value of y varies directly with x, and y=10 when x=4. Find x when y=14.

damaskus [11]

$y=10\ \ \ and\ \ \ x=4\\\\
y=14\ \ \ and\ \ \ x=?\\\\
Making\ ratio:\\
10-4\\14-x\\\\
Cross\ multiplication:\\
10x=4*14\\
10x=56\ \ \ |Divide\ by\ 10\\x=5,6\\\\solution\ is\ x=5,6.$

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3 years ago

I would appreciate some help on this if anyone could answer it

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

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erica [24]

Answer:

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Step-by-step explanation:

As the x value goes up by 1, the y value goes up by 3 each time

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2 years ago