Answer:
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Step-by-step explanation:
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Answer:
Each notepad would cost $5.
Answer:
Infinite number of solutions.
Step-by-step explanation:
y = -7x - 2
y + 3 = -7x + 1
Subtract 3 from both sides:
y = -7x - 2
- this is the same as the first equation.
We can put any number of valid combinations of x and y into this equation.
So there are infinite solutions.
Answer:
The common differences is 5
Step-by-step explanation:
The difference is 5. Why? Because 5 is added to each term to arrive at the next term. so ... the difference a2 - a1 = 5.
E.g. -31 + 5 = -26
Answer:
They can make 10 different groups of three.
Step-by-step explanation:
The order in which the people are in the car is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
How many different groups of three can the five of them make?
Combinations of 3 from a set of 5. So
![C_{5,3} = \frac{5!}{3!(5-3)!} = 10](https://tex.z-dn.net/?f=C_%7B5%2C3%7D%20%3D%20%5Cfrac%7B5%21%7D%7B3%21%285-3%29%21%7D%20%3D%2010)
They can make 10 different groups of three.