The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.
<h3>How to find the slope of a line?</h3>
Using the point slope equation,
y = mx + b
where
Therefore, using (-3, 0)
0 = -3m + 12
-12 = -3m
divide both sides by -3
m = -12 / -3
m = 4
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Answer: D) 12
Step-by-step explanation:
If the customer buys 4 pencils he will get the 5th one free.
This means, in every 5 pencils, he is getting one free pencil. 60 pencils can be split into 12 groups of 5 pencils each. In each group he is getting 1 free pencil, so in 12 groups, the customer will get 12 free pencils.
So, we can say that if the customer buys 60 pencils on sale, he will get 12 of them free.
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!
Answer:B)The values of both x and y will be real numbers greater than or equal to 0.
Step-by-step explanation:
B. Fiscal Policy. Hope that helps you.