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3 years ago

A) Simplify the expression and explain each step. (2 points)

Mathematics

2 answers:

GarryVolchara [31]3 years ago

8 0

A) 4 (3x+2)-2
12x+8-2
12x+6
2x+1 simplified expression

Nuetrik [128]3 years ago

5 0

Answer:

a) $4\left(3x+2\right)-2=12x+6$

b) $20b-16= 4\left(5b-4\right)$

Step-by-step explanation:

a) To simplify the expression you must:

Expand $4(3x + 2)$ :

Apply the distributive law: $\:a\left(b+c\right)=ab+ac$

$a=4,\:b=3x,\:c=2\\\\4\left(3x+2\right)=4\cdot \:3x+4\cdot \:2$

Simplify $4\cdot \:3x+4\cdot \:2= 12x+8$

$12x+8-2$

Subtract the numbers: $4\left(3x+2\right)-2=12x+6$

b) To factor the expression $20b - 16$ you must:

Rewrite 16 as $4\cdot 4$ and 20 as $4\cdot 5$

$20b-16=4\cdot \:5b-4\cdot \:4$

Factor out common term 4

$20b-16= 4\left(5b-4\right)$

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3 years ago

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A cab in NYC charges you $1.25 a mile and a flat fee of $4 to ride in the cab. A cab in Chicago charges you $0.75 a mile but a f

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Answer:

After 4 miles driven by cab the amount would be same in both cities.

Step-by-step explanation:

Let the number of miles be 'x'.

Given:

In NYC

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Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.

Framing in equation form we get;

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In Chicago

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Framing in equation form we get;

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Combining like terms we get;

$1.25x-0.75x=6-4\\\\0.5x=2$

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There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Which exponential growth funct

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Answer:

The expression that represents the number of deer in the forest is

y(x) = 50*(1.013)^x

Step-by-step explanation:

Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:

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