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Zanzabum
3 years ago
14

Solve the compound inequality. 3x+2>2x−4>x−12

Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

x > -6

Step-by-step explanation:

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A members-only speaker series allows people to join for $19 and then pay $4 for every
Lera25 [3.4K]

Answer: 3

Step-by-step explanation:

Let's create a model first.

The initial fee is $19 (this is our y intercept or b)

And the pay per is $4 (this is our variable or m)

y=mx+b

y= 4x+19

To find out what the maximum number of events someone can attend for $31, we plug in different number for the x value until it's less than or equal to $31

In this case, plugging in 3 for x gives us exactly $31

y=4(3)+19= 31

6 0
4 years ago
Which of the following statements are true about the given rational equation? check all of the boxes that apply. 4 x 6 1 x2 = x
Agata [3.3K]

We can actually see that the statements that are true are:

A. x = 1 is a solution.

C. x = –1 is a solution.

<h3>What is rational equation?</h3>

Rational equation is actually known as an equation that contains at least one fraction. The denominator and numerator are known to be polynomials.

We can see then that:

\frac{4}{x + 6}  +  \frac{1}{ {x}^{2} }  =  \frac{x + 10}{ {x}^{3} + 6 {x}^{2}  }

It's clear that: x ≠ 0 and x ≠ -6.

Looking for the LCM of the left hand side, we will have:

\frac{4}{x + 6}  +  \frac{1}{ {x}^{2} }  =  \frac{4 {x}^{2 }  + (x + 6)}{(x + 6) {x}^{2} }

So, we will see that left hand side and right hand side are equal.

4 {x}^{2}  + x + 6 = x + 10

4 {x}^{2}  = 10 - 6

4 {x}^{2}  = 4

{x}^{2}  = 1

x = 1

or

x =  - 1

So, we can see that options A and C are correct.

Learn more about rational equation on brainly.com/question/11611235

3 0
2 years ago
Find the area of the shaded area and please explain how to solve it step by step
DaniilM [7]
1. Find the area of the triangle by using 1/2 bh.
1/2 (34)(15)=255
2. Find the area of the rectangle by using bh.
(10)(24)=240
3. Subtract the areas.
255-240=15

You find that the area of the shaded area is 15
     
8 0
4 years ago
I will mark you brainiest if you can answer this
yanalaym [24]
22 touchdowns and 13 field goals
7 0
3 years ago
An aircraft carrier left Port 35 traveling north five hours before a container ship. The container ship traveled in the opposite
Molodets [167]

Answer:

Aircraft carrier speed = 4.97 km/h

Step-by-step explanation:

Given that the time taken by the aircraft = 5 hours

Let the distance covered = X

Speed = V

Time taken by the ship = 7 hours

Let the distance covered = Y

Speed = 8V

Since it is 8 km/h faster than the aircraft carrier.

Using the speed formula

Speed = distance/time

Distance = speed × time

For the aircraft;

X = 5V

For the ship:

Y = 7 × 8V = 56V

Since they are 303km distance apart,

X + Y = 303

5V + 56V = 303

61V = 303

V = 303/61

V = 4.97 km/h

Aircraft carrier speed = 4.97 km/h

5 0
4 years ago
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