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3 years ago

What is 9x - 2 - 13x + 16 simplified ???

Mathematics

2 answers:

Cerrena [4.2K]3 years ago

4 0

Answer:

Simplifying

9x + -2 + -13x + 16 = 0

Reorder the terms:

-2 + 16 + 9x + -13x = 0

Combine like terms: -2 + 16 = 14

14 + 9x + -13x = 0

Combine like terms: 9x + -13x = -4x

14 + -4x = 0

Solving

14 + -4x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + -4x = 0 + -14

Combine like terms: 14 + -14 = 0

0 + -4x = 0 + -14

-4x = 0 + -14

Combine like terms: 0 + -14 = -14

-4x = -14

Divide each side by '-4'.

x = 3.5

Simplifying

x = 3.5

Step-by-step explanation:

exis [7]3 years ago

4 0

Answer:

-4x+14

Step-by-step explanation:

Collect "Like Terms" (9x and -13) = -4x

-4x - 2 + 16= -4x + 14

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Find the LCM of n^3 t^2 and nt^4. A) n 4t^6 B) n 3t^6 C) n 3t^4 D) nt^2

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Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are $n^3t^2$ and $nt^4$ .

The factored form of each term is

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To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

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3 years ago

The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the n

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Given:

The function is:

$p(t)=500(0.25)^t$

Where p(t) represents the number of milligrams of the substance and t represents the time.

To find:

The correct explanation for the number 0.25 and 500 in the given function.

Solution:

The general exponential function is:

$y=ab^x$ ...(i)

Where, a is the initial value and b is the growth/decay factor. If $0$ , then decay factor and if $b>1$ , then growth factor.

We have,

$p(t)=500(0.25)^t$ ...(ii)

On comparing (i) and (ii), we get

$a=500$ , it means initial there are 500 milligrams of the substance.

$b=0.25$ , this value is less than 1, it means the substance is decreasing by a factor of 0.25.

Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.

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3 years ago