Answer:
<em>75</em>
Step-by-step explanation:
Given:
f(1) = 100
f(n+1) = f(n) - 5
Solve for:
f(6)
Solution:
f(1) = 100
f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5
f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1) - 2 x 5
...
f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5
=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75
Hope this helps!
Answer:
For this case, the first thing we must do is define variables:
x: number of hammers
y: number of wrenches
We write the system of inequations:
10x + 6y <= 120
x + y> = 14
Step-by-step explanation:
Answer:
(1,9)
Step-by-step explanation:
Answer:
Solution tends to infinity
Step-by-step explanation:
Given the expression
(3x-2)/(x+3)-1=(3x-3)/(x+1)-2
This can also be expressed as;
(3x-2)/x+2 = 3x-3/x-1
3x-2/x+2 = 3(x-1)/x-1
3x-2/x+2 = 3
Cross multiply
3x-2 = 3(x+2)
3x-2 =3x+6
Collect like terms
3x-3x =6+3
0x = 9
x = 9/0
x = infinity
Hence the expression had no solution. It tends to infinity
Any unknown number in an equation you represent with a variable
