Answer:
Q1:14 Q2:8903.5
Step-by-step explanation:
I find that using equations to solve problems makes it a lot easier.
The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.
So we need to find a value of x that works for each company and a value of y that is the same for the cost.
Now we combine them.
Solve for x:
5743+225.75x=7500+100.25x
-5743 -5743
225.75x= 1757+100.25x
-100.25x -100.25x
125.50x=1757
/125.5 /125.5
x=14
Therefore, for Q1, the answer is 14.
Now we solve for y by substituting x for 14.
5743+225.75(14)
5743+3160.5
8903.5
We can also check this with the other equation
7500+100.25(14)
7500+1403.5
8903.5
So therefore, the answer to Q2 would be 8903.5.
Answer:
42°
Step-by-step explanation:
It is always good to draw a picture to help you. In this case
tan F = 40/44
m∠F = arctan (40/44) = 42°
12b and 40b^2.
12 and 40 have a greatest common factor of 4.
b^2 and b have a greatest common factor of b.
Therefore, the greatest common factor of the two expressions is 4b.
To determine whether or not (8, 4.5) is a solution to y=3/4x-1/2, substitute 8 for x and 4.5 for y:
4.5 = (3/4)(8) - (1/2)
4.5 = 6 - 0.5
4.5 = 5.5
No, (8, 4.5) is not a solution of the given function.
Answer:
Expression D has the least value
