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vitfil [10]
3 years ago
12

6 x - 2 [ x + 2 ] > 2 - 3 [ x + 3] could u show me step by step on how to do thiz

Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:

x > - 3/7

Step-by-step explanation:

6x - 2x - 4 > 2 - 3 (x + 3)

6x - 2x - 4 > 2 - 3x - 9

4x - 4 > 2 - 3x - 9

4x - 4 > - 7 - 3x

4x - 4 + 3x > - 7

7x > - 7 + 4

7x > - 3

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the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0
3 years ago
A glacier grew g feet over winter. It shrank 25 feet in summer.if the total change was -10 feet how much had the glacier grown i
Nataly [62]
You would have to add 25 and -10 together
5 0
3 years ago
Solve each system of equations using matrices.<br> -2x = -6y + 8<br> 2y = x + 1
Elden [556K]

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6 0
3 years ago
Solve the system by substitution.<br><br> 6x + 3y = -6<br> 2x + y = -2
Mariana [72]
Solutions 

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6x+3(-2-2x)=-6&#10;&#10; &#10; 

-6=-6 

Therefore this given equation is a <span>dependent system. 
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<span>Solve for </span>2x + y = -2 

2x+y=-2 

y=-2-2x&#10;&#10; &#10;&#10; &#10; 

There are too many solutions to these equations. 


8 0
3 years ago
Read 2 more answers
What is reasonable first step that can be used to solve the equation 2(x+6)=3(x-4)+5?
blagie [28]

Answer:

Distribute 2 to (x + 6) and 3 to (x-4)

Step-by-step explanation:

8 0
3 years ago
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