Answer:
Step-by-step explanation:
x + (x + 2) + (x+4) =12
3x + 6 = 12
3x = 6
x = 2
X+2y≤6 with x≥0 and y≥0
2x+y≤6
1st) Find the 1st shaded region: 1st Quadrant since x≥0 and y≥0
2nd) Let's find the x and y intercepts of 2x+y = 6
x-intercepts for y = 0 , x=6 →A(3,0)
y-intercepts for x = 0 , y =3→B(0,6) . Now Join AB
2nd shaded region
3rd) Let's find the x and y intercepts of x+2y = 6
x-intercepts for y = 0 , x=6 →C(6,0)
y-intercepts for x = 0 , y =3→D(0,3) . Now Join CD
3rd shaded region
4th) Now let's calculate the coordinate of the intersection point of
x+2y=6 and
2x+y =6 Solving it will give you x = 2 and y = 2 (coordinates of the intersection of AB with DC, le be E. (4th shaded region).
Re write all pairs:
A(3,6), B(0,6), C(6,0), D(0,3), E(2,2). Now plug in each pairs with the equation:
F= 5x + 2y
For A(3,6), →→F=15+12 = 25
For B(0,6), →→F=0+12 = 12
For C(6,0), →→F=30+0 = 30
For D(0,3), →→F=0+6 = 6
For E(2,2), →→F=20+4 = 14
So the max value of F= 5x+2y is 30 at C(6,0)
Hope that I didn't make any mistake
Answer:
A
Step-by-step explanation:
Mechanical energy (ME) is Kinetic energy + potential energy
Where
Kinetic Energy (KE) = 1/2 * m * v^2
where m is the mass (in kg) and v is the speed of the object (in m/s)
and
Potential Energy (PE) = m*g*h
Where m is the mass (in kg) and g is the gravitational constant (9.81 m/s) and h is the height (in meters)
Hence
ME = KE + PE (note the pendulum DOES NOT have any speed, so v = 0, and thus KE = 0)
So,
Hence, Mechanical Energy is 9.8 Joules (rounded to 1 decimal place). Correct answer is A.
Answer:
36 but im not sure
Step-by-step explanation:
ok so you would have to do A=lwh which is A=2x3x6+36
4000 divide by 160 to get the cost of each book
4000 / 160 = 25
So that's £25 per book, multiply that by two because they gave two away which is £50 so they lost £50
