Answer:
No and Yes.
Step-by-step explanation:
The inequation is y ≥-x+7 and the pair is (x,y)=(-1,-1). Then:
-1≥ -(-1)+7
-1 ≥ 1+7
-1 ≥ 8, but this is not true, so (-1,-1) is not a solution of y ≥-x+7.
On the other hand, the inequation is y>(3/4)x-5 and the pair is (5,3). Then:
3>(3/4)(5)-5
3>(15/4)-5
3> -5/4 and this is true, so (5,3) is a solution of y>(3/4)x-5.
Answer:
0.0597in/s
Step-by-step explanation:
The volume of the spherical balloon V= 4/3πr³
r is the radius of the balloon
The rate at which the volume is changing dV/dt is expressed as;\
dV/dt = dV/dr*dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
dV/dt = 3 in³/s
Substitute inti the formula
3 = 16πdr/dt
dr/dt = 3/16π
dr/dt = 3/50.24
dr/dt = 0.0597in/s
Hence the balloon is increasing at the rate of 0.0597in/s
Answer:
Step-by-step explanation:
A. 3.11
B.7.5
C.6.46
D.133.17
Answer:
E: all real numbers
Step-by-step explanation:
This is some simple Algebra
So it's 4x+16=-2
We subtract 16 from both sides
4x=-18
Sivide both sides by 4
X=-4.5
If you need more of an explanation I am happy to elaborate