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ASHA 777 [7]
3 years ago
5

3(x + 10) + 6 = 3(x + 12)

Mathematics
2 answers:
Talja [164]3 years ago
7 0

Answer:

infinitely many solutions / all solutions

Step-by-step explanation:

  1. you distribute    3x+30+6 = 3x+36
  2. combine like terms 3x+36 = 3x+36
  3. realise the 2 terms are the same so x can be anything
Helga [31]3 years ago
6 0

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

3(x + 10) + 6 = 3(x + 12)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 3:                              3x + 30 + 6 = 3x + 36
  2. Combine like terms:                 3x + 36 = 3x + 36
  3. Subtract 36 on both sides:      3x = 3x
  4. Divide 3 on both sides:            x = x

Here we see that <em>x</em> does indeed equal <em>x</em>. We can plug in any number <em>x</em> and it would render the equation true.

∴ x = infinite amount of solutions

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Answer:

<h3>33.3%</h3>

Step-by-step explanation:

Using the formula for calculating simple interest as shown;

Simple Interest = Principal * Rate *Time/100

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Substituting this values into the formula;

500 = 1500*rate*1/100\\Cross\ multiplying\\50,000 = 1500 * rate\\Rate = 50,000/1500\\Rate = 33.3%

The interest rate that her parents assumed is 33.3%

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3 years ago
Is -1/4 a rational number
pav-90 [236]

Answer:

Yes.

Step-by-step explanation:

It can be expressed as a ratio and it is a fraction.

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Julia is going to the store to buy candies. Small candies cost $4 and extra-large candies cost $12.She needs to purchase at leas
BartSMP [9]

Answer:

Small candies =9

Extra large candies =12

Step-by-step explanation:

Let small candies =x

Extra large candies =y

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x+y\geq20

Cost of 1 small candy =\$4

Cost of 1 extra large candy =\$12

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Solve for

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Since number of candies should be integer.

let x=7,y=13

total spend 4\times7+12\times13=184 which is more than \$180, so this combination is not possible.

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4 0
3 years ago
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tamaranim1 [39]

Answer:

  • The function is injective but nor surjective

Step-by-step explanation:

<u>We see that:</u>

  • f(x) = x³

<u>For any x₁ and x₂ ∈ N, </u>

  • f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers

It it confirmed one-to-one, hence it is injective

<u>Check the surjectivity:</u>

f(x) = y ∈ N

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Since x is not natural, the function is not surjective

6 0
3 years ago
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An exponentially function is expressed in the form y = axb^x . The relation represents a growth when _ and a decay when _ .
Sergio [31]

Answer:

The relation represents a growth when b>1 and a decay when 0<b<1

Step-by-step explanation:

Any function in the form f(x)= a(b^x), where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b. If 0 < b < 1.  It is an example of an exponential decay. The general shape of an exponential with b > 1 is an example of exponential growth. An exponential function is expressed in the form y=a(b^x) The relation represents a growth when  b >1 and a decay when 0<b<1.

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