This question gives you information to make a system of equations, which you then use substitution to solve.
Answer:
#1 c. -1
#2 b. 1 is less than or equal to x which is less than or equal to three
#3 a. 37.5 is less than or equal to y which is less than or equal to 87.5
#4 b. 3
#5 b. (2, 3, 4, 5, 6)
#6 d. (45, 55, 65, 75, 85)
Step-by-step explanation:
Domain is the x value and y is the range. For #1 the answer is c because you can't go golfing for -1 hours. For #2, the answer is b because they are all the acceptable values for the domain which is represented by x and x is the time spent at the golfing bay. The answer would not be c because you could go to the bay for 2.75 hours it doesn't have to be just 1, 2, 3. For #3 the concept is similar because the range aka total cost can be all the values in between 37.5 and 87.5. For #4 a reasonable domain value which is number of people is 3 because you can't have 2.5 people and you can't have -4 people and thus all of the above isn't possible leaving three. #5 is b because you can only have those set numbers to represent people. If you chose a that would mean you could have 1.5 people which isn't possible thus only numbers 2, 3, 4, 5, and 6 are possible. For #6 The answer is d because when you plug in numbers 2, 3, 4, 5, 6 into the x value one at a time and solve the equation, those numbers equal t. Just use your basic knowledge to figure these out there isn't much math you just have to know that domain means x and range means y. y is 9/10 always by itself on one side of the equal sign. When in doubt think, can I have a half a person. Think of the real world and apply to math. Goof luck on future problems!
(7 cm)*(10 cm) = 70 cm^2
The area is the product of length and width.
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
