Answer:
35
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
nCk = n!/(k!(n -k)!)
7C3 = 7!/(3!(7-3)!) = 7·6·5/(3·2·1) = 7·5 = 35
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It is convenient to use the largest of the factorials in the denominator to cancel as many factors as you can from the numerator, then cancel factors from the remaining numbers. Here after canceling 4! = 4·3·2·1 from the numerator, we are left with 7·6·5 divided by 3! = 3·2·1 = 6. Obviously, this will cancel the 6 in the numerator product, leaving only 7·5 = 35.
Some graphing and/or scientific calculators will have this function built in.
Answer: a) y=0.50x+15
b) The graph of this equation form on a coordinate plane is a line.
c) Slope =0.50 and y-intercept = 15
Step-by-step explanation:
Let x = Number of miles driven by car
Given: The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.
a) Total cost = 0.50x+15
If y =total cost of renting the car, then y=0.50x+15 (i)
b) Above equation is similar to y= mx+c (ii) [m = slope , xc=y-intercept] which a linear equation .
So the graph of this equation form on a coordinate plane is a line.
c) Comparing (i) and (ii)
m=0.50 , c=15
Slope =0.50 and y-intercept = 15
Answer: 0
Step-by-step explanation: 18a + 3 = 3
-3 -3
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18a = 0 you can't divide 18 and zero it would be 0
The rate that represents this situation would be 50 miles in an hour.
w = 50 - 2.5t
Is there a viable solution when time is 30 minutes? No, because by then the tub will be empty.
Hope this Helps!!