There are 792 different ways of choosing 5 books from a shelf containing 12 books. This problem can be solved using the combination formula of mathematics. The combination formula of mathematics is a number of way of selecting thing from a collection and the formula stated as n(n-1)...(n-k+1)/k(k-1)...1 (Calculation: 12*11*10*9*8/5*4*3*2*1 = 95040/120 = 792)<span>.</span>
Answer:
Common Difference: 
The ninth term: -1
Step-by-step explanation:
The sequence can be written like this,
3, 2.5, 2, 1.5, 1, ....
Here the common difference is clearly -0.5 or , and we can conclude that 
number is 
. So the 9th term is,
Answer: 19/40
Step-by-step explanation:
First Write 0.475 as 0.4751Multiply both numerator and denominator by 10 for every number after the decimal point0.475 × 10001 × 1000 = 4751000. Reducing the fraction gives The answer
Answer:
Option D y=3
Step-by-step explanation:
The question in English is
Which of the following functions is a constant function?
we know that
A <u>constant function</u> is a function whose output value is the same for every input value
so
<u><em>Verify each case</em></u>
case A) y=x+1
This is not a constant function, this is a linear equation
Is a function whose output value is different for every input value
case B) y=x+2
This is not a constant function, this is a linear equation
Is a function whose output value is different for every input value
case C) x=y+3
This is not a constant function, this is a linear equation
Is a function whose output value is different for every input value
case D) y=3
This is a constant function
Is a function whose output value is the same for every input value
Answer:
Line 1
Step-by-step explanation:
Since x=3 and y=-6, just plug those two values in both of the equations.
Line1: (3)-(-6)=9 This would be the answer
Line2: 3(3)+3(-6) = -9 This is the incorrect answer because it should 3
