He buys 30 bottles which each costs 3 dollars. So 30 times 3 means he pays 90 dollars. Plus the 25 dollar handling fee which is 115. However the competing supplier is 4 dollars every bottle for the pint bottle. So if he bought 30 times 4 he would pay 120. That is without the handling money. So thats why he should stay with his
You could actually find the compositions and thus have something to compare. You haven't shared the list of possible answer choices.
(f+g)(x) = 5x - 3 + x + 4 = 6x + 1
(f-g)(x) = 5x - 3 - x - 4 = 4x - 7
(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12
There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).
WRite them out.
Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.
Answer:
442554 square miles
Step-by-step explanation:
The area of a triangle is given by :
0.5*A*B*Sin(∅) where A and B are two sides and ∅ is the angle between them.
We will find ∅ by applying cosine rule:
c^2 = a^2 + b^2 − 2ab cos(∅)
Where ∅ is angle between sides a and b.
In this example:
a=1028, b=1046, c= 965
Plugging in the values, we get ∅=55.4°
Applying the formula for Area:
0.5*A*B*Sin(∅)
0.5*1028*1046*Sin(55.4)= 442554 square miles
Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴
∴
∴
∴
∴ The point of science lab = (-14/3 , 1)
Answer:
Table C)
Step-by-step explanation: