Answer:
Step-by-step explanation:
y > ... means the shading will be above the corresponding line.
y < ... means the shading will be below the corresponding line.
These lines have different slopes, so the solution spaces <em>must</em> overlap, hence <em>there must be solutions</em> to the system.
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<em>Comment on last choice</em>
It isn't clear exactly what is intended by the last offered statement. Both of the listed points are in the solution space of y > 3x-4. Neither point is in the solution space of y < x+1.
Together, the two graphs intersect the entire y-axis. Jointly, they only intersect the y-axis on the interval -4 < y < 1.
The y-intercepts of the two boundary lines are (0, 1) and (0, -4). Neither of these points is in the solution space of the system of inequalities.
Answer:
Step-by-step explanation:
Using the rules of exponents
×
=
,
=
,
=
Simplifying the product of the first 2 terms
×
= ×
=
Simplifying the third term
5(
= 5 = 5
Performing the division, that is
← cancel
on numerator/ denominator leaves
=
Answer:
8 + 3 + -6x
Step-by-step explanation:
First we need to find the like terms so that we could add them. In this case the like terms are,
1. 6x , -2x , -10x
So, these are the only terms that we can add in this expression.
Hence,
=> 8 + 3 + (6x - 2x - 10x)
=> 8 + 3 + -6x
And this is as simple as this expression can go until we find the value of "x" which is not yet told.
Hope my answer helped.
Step-by-step explanation:
❁
❁
✑
plug the known values :
⟹
⟹
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑
Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.
If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.
The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.
Mathematically ,
Momentum = mass × velocity
i.e p = m × v
The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.
Hope I helped ! ♡
Have a wonderful day / night ツ
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