Aphysicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function −4x + 3y = 9, where x is time and y is velocity in kilometers per hour. use this function to determine when a certain particle will reach 50km/hr. the particle will reach 50km/hr when x = .

x = 35.25 hr

Step-by-step explanation:

The velocity model is given by −4x + 3y = 9, where x is time and y is velocity in kilometers per hour.

Solve the equation for x

Add 4x to both sides of the equation

Subtract 9 to both sides

Divide both sides by 4

Now, we have to find x for y = 50

Replace y with 50

Therefore, the particle will reach 50 km/hr when x = 35.25 hr

a

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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