(ax + b)/c ≤ b
ax+b ≤ cb
ax ≤ cb - b
x ≤ (cb-b)/a
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Probability of passing history course = 0.59
Probability of passing math course = 0.60
Probability of passing both courses = 0.49
Probability of passing at least one = 0.59 + 0.60 - 0.49 = 0.7 ##
Answer:
4. the circumference = approx. 21.99
5. 30 feet
6. 150.8 feet
Step-by-step explanation:
4: 3.5*π*2= 21.99
5:. 1800÷60= 30
6. circumference equals approx. 37.7 feet and I multiplied that by 4 because the boy went around 4 times
hope this helps <3
Answer:
Step-by-step explanation:
(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab
x²+9 +6x -5 =0 , combine like terms
x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a
x= (-6 ±√6²-4*1*4)/2*1
x= (-6 ± √36-16) /2
x= (-6±√20)/2
x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify
x= -3 +√5 and x= -3 -√5
