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noname [10]
3 years ago
12

Which choice is the appropriate simplified form n restriction for the variable 3x^2 + 6x / x^2 - 2x - 8

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0
\frac{3x^{2}+6x}{x^{2}-2x-8} = \frac{3x(x+2)}{(x-4)(x+2)}= \frac{3x}{x-4} 
\\ \\ \frac{3x}{x-4} , x \neq 4

x \neq -2
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A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?
salantis [7]
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h

P = mgh  = 3 x 9.8 x 0.45 = 13.23 Joule

Potential energy is work , from the known formula

W = Fd ( work = force x distance ) 

W = P ( in case of potential energy height change)

F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body

F = mg ( not just <m> as the force is mg (Newton) gravity effect)

d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so

d = h 

W = Fd = (F = mg) x (d = h) = mgh 

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</span>

7 0
3 years ago
Solve for x? 5×-6=4×+8​
Mandarinka [93]

Answer:

x=14

Step-by-step explanation:

First bring the 6 to the other side and then bring the 4x to the other side to have 5x-4x=6+8 and combine the like terms and x equals 14.

5 0
3 years ago
Read 2 more answers
The money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a f
Otrada [13]

Answer: The answer is given below

Step-by-step explanation:

From the question, we are informed that the money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Therefore, the formula for the money he can spend will be:

m = w - t

The amount of money that he has to spend if he earns £120 a week and pays £41 in tax will be:

m = w - t

m = £120 - £41

m = £79

3 0
3 years ago
I dont understand what to do and what the answer is
hodyreva [135]

Answer:

-1

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(2-4)/(0+2)=-2/2=-1

3 0
2 years ago
Read 2 more answers
1 please, (Match to the correct term)
morpeh [17]
U did them right but u erased them
8 0
3 years ago
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