The first three terms of sequence are 9 , 6 , 3
<em><u>Solution:</u></em>
Given the recursive function f(n) = f(n - 1) - 3
Where f(1) = 9
To find: First three terms of sequence
Substitute n = 2 , n = 3 and n = 4 in given recursive function
When n = 2
f(n) = f(n - 1) - 3
f(2) = f(2 - 1) - 3
f(2) = f(1) - 3
f(2) = 9 - 3 = 6
f(2) = 6
Thus second term is 6
When n = 3
f(3) = f( 3 - 1) - 3
f(3) = f(2) - 3
f(3) = 6 - 3 = 3
f(3) = 3
Thus the third term is 3
When n = 4
f(4) = f( 4 - 1) - 3
f(4) = f(3) - 3
f(4) = 3 - 3
f(4) = 0
Thus the fourth term is 0
Thus first three terms of sequence are 9 , 6 , 3
The answer is y=-3/4+5 because y=mx+b
m:slope
(x,y):any point on the line
(0,b): y-intercept of the line
Answer:
10 boys, 15 girls
Step-by-step explanation:
Original ratio: 2 boys/3 girls
let x be the scale factor of the ratio
2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1
Simplify: 2x+5=3x
Simplify: 5=x
plug x back into the original ratio: 10/15
Check: 10/15 = 2/3
10 boys + 5 boys = 15, 15/15 = 1
Answer:
(8, 5) (Answer C)
Step-by-step explanation:
Write this system of linear equations in a (vertical) column:
4x - 3y = 17
5x + 4y = 60
Let's eliminate y through addition/subtraction:
Multiply 4x - 3y = 17 by 4, obtaining 16x - 12y = 68, and
multiply 5x + 4y = 60 by 3, obtaining 15x + 12y = 180. Then we have:
16x - 12y = 68
15x + 12y = 180
----------------------
31x = 248, and so x = 248/31 = 8.
Now find y. Substitute 8 for x in 5x + 4y = 60: 5(8) + 4y = 60, or
4y = 60 - 40 = 20.
Thus, y = 20/4, or y = 5.
The solution is (8, 5) (Answer C)
<span>Simplify (8 + 7i) + (2 –i)
</span>answer:10+6i
