Since we know f(x)=11 all we need to do is substitute and solve. so
11=-2x+3 subtract 3 from both sides
8=-2x divide both sides by -2
-4=x
sub back in to check
-2(-4)+3=8+3=11 looks good
Answer:
a=0.17
b=2/9
c=1/4
Step-by-step explanation:
1/5 is equal to 0.2 and a is lower than 1/5. The only option that is lower than 1/5 is 0.17. We know that c is greater than b because it's shown on the number line. 2/9 is equal to 0.22 and 1/4 is equal to 0.25. So, 1/4 is greater than 2/9 and c is greater than b. So that would make c = 1/4, and by default 2/9 and b are the only ones left so b= 2/9.
A=1
B=-5
C=3
-(-5)+(Square root of) (-5)^2+4(1)(3)/2(1)
-(-5)-(Square rooy of) (-5)^2+4(1)(3)/2(1)
5.5414 or -.5414
Answer:
dh/dt ≈ 0.55 ft/min
Step-by-step explanation:
The volume is given by the formula ...
V = (1/3)πr²h
We have r = h/2, so the volume as a function of height is ...
V = (1/3)π(h/2)²h = (π/12)h³
Then the rates of change are related by ...
dV/dt = (π/4)h²·dh/dt
dh/dt = (4·dV/dt)/(πh²) = 4(35 ft³/min)/(π(9 ft)²)
dh/dt ≈ 0.55 ft/min
The correct answer would be b) (12 + 3x)x
