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3 years ago

|4x−4(x+1)|=4 find x

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

6 0

Answer: x= 5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

Simplify: (Show steps)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

2x /2 = 10 /2

x=5

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IRISSAK [1]

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2 years ago

The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste and 2460 dollars for 135 kg of waste. (a)

Ulleksa [173]

Answer:

$C=18w+30$

Step-by-step explanation:

We are given that The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste

So, $(x_1,y_1)=(100,1830)$

We are also given that The monthly charge for a waste collection service is 2460 dollars for 135 kg of waste.

So, $(x_2,y_2)=(135,2460)$

We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute the values

$y-1830=\frac{2460-1830}{135-100}(x-100)$

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$y-1830=18x-1800$

$y=18x-1800+1830$

$y=18x+30$

y denotes the cost

x denotes the weight

So, Replace y with C and x with w

$C=18w+30$

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2 years ago

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3 years ago

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Evaluate: 9 + x/5 for x = 30 15 16 17 18

mart [117]

<u>Answer:</u>

$\bold{9+\frac{x}{5}=15}$

<u>Solution:</u>

Given: x=30

To solve: $9+\frac{x}{5}$

On substituting the value of x,

$9+\frac{30}{5}$

On dividing 30 and 5 we get,

$\Rightarrow 9+6 = 15$

So, the option is 15.

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2 years ago