The correct answer is –6x + 15 < 10 – 5x.
We can tell this by solving for x.
–3(2x – 5) < 5(2 – x) ----> Multiply to the parenthesis.
-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides
-x + 15 < 10 ----> subtract 15 from both sides
-x < -5 ----> Divide by -1
x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).
There is no restriction upon x for that function therefore the domain is all real numbers. x=(-oo, +oo)
Answer:
11/24
Step-by-step explanation:
find the lcm of 8 and 6, which is the denominator. the lcm is 24, so you make the denominator 24. then you get 32/24 - 21/24. then you do 32-21 which is 11, then you get 11/24
please add a thanks if im correct
Answer:
108,000 joules
Step-by-step explanation:
Kinetic energy, k = 1/2 mv^2
Where,
m = mass of the object in kilogram
v = velocity in meters per seconds
If
Velocity of an object = 20 meters per seconds
Kinetic energy = 48,000 joules
Solve for m
k = 1/2 mv^2
48,000 = 1/2 × m × 20^2
48,000 = 1/2 × m × 400
48,000 = 200m
m = 48,000 / 200
m = 240 kg
If it speeds up to 30 meters per second, then what is its new kinetic energy?
k = 1/2 mv^2
Using m = 240 kg
k = 1/2 mv^2
= 1/2 × 240 × 30^2
= 1/2 × 240 × 900
= 216,000 / 2
= 108,000 joules
The new kinetic energy = 108,000 joules
Answer:
A
Step-by-step explanation:
the area of square is 10²=100
Area of a circle is πr²=π(10/2)²=25π
100-25π=100-25*3.14=100-78.5=21.5
