Given function:
The minimum value of the function can be found by setting the first derivative of the function to zero.
Solving for x:
Substituting the value of x into the original function:
Hence, the minimum value in the given range is (-1, -0.368)
Answer:
(a) x = 3
(b) y = 6
(c) false/not true
(d) x = 5
Step-by-step explanation:
(A) 2 + x = 5 You would subtract the 2 from both sides which gives you x = 3
(B) 8y = 48 You would divide 8 from both sides which is 6 so y = 6
(C) 23 = 26 That is not true because 23 does not equal 26
(D) -7x - 3x + 2 = -8x - 8 First simplify the equation; -10x + 2 = -8x - 8. Next, you want to subtract 2 from both sides which gives us -10x = -8x - 10. Now you want to add 8x to both sides which is -2x = -10. And now you just divide -2 on both sides which gives us the answer 5. So, x = 5. I hope this helps. Let me know if one of the answers are incorrect.
Answer:
rectagular
Step-by-step explanation:
For a cube,
The volume is the cube of the side length.
To raise a product to an exponent, raise each factor to the exponent.
To raise a power to a power, multiply powers.
Answer:
$1300
Step-by-step explanation:
The extruder yields a revenue of $200per hour
Y denotes the number of breakdown per day.
The daily revenue generated is given as
R = 1600 - 50Y^2
We have an average of 2 breakdown per day
Lamda = 2
Represent lamda as β
E(Y) = β
E(Y(Y-1)) = β^2
E(Y^2) = E[Y(Y-1)] + E(Y)
= β^2 + β
E(R) = E(1600 - 50Y^2)
= 1600 - 50E(Y^2)
= 1600 - 50(β^2 +β)
Recall that β = lamda = 2
= 1600 - 50(2^2 + 2)
= 1600 - 50(4+2)
= 1600 - 50(6)
= 1600 - 300
= 1300
$1300
The expected daily revenue of the extruder is $1300
