143 / 6x+12 = 132 / 72
143 / 6x+12 = 11 / 6
crossmultiply:
66x + 132 = 858
66x = 726
x = 11
Let x be the first odd number.
Second odd number will be x+2
Proof:
If 3 (was) the first odd number, 3+2 would be the next which is 5.
So,
(x) (x+2) = 99
xsquare + 2x = 99
xsquare +2x - 99 = 0
xsquare +11x - 9x -99 = 0
x(x +11) -9(x + 11) = 0
(x+11) (x-9) = 0
So the two odd numbers were 9 and 11
Step-by-step explanation:
Find out how much you get money from the annual interest:
100% = 1750
1% = 1750 ÷ 100 = 17.5
6.05% = 17.5 x 6.05 = 105.87
Find out how much you get from interest in 2 years.
105.87 x 2 = 211.74
(Final answer)
Answer: FIRST OPTION.
Step-by-step explanation:
Given the following function:

Follow this steps in order to find its inverse:
1. Rewrite the function with
:

2. Solve for "x":

3. Now you must exchange the variables:
4. And finally, rewrite the function with
:
Therefore, the inverse function is
Answer:
Maria did her job properly. Both gears are perpendicular.
Step-by-step explanation:
Recall that given vectors a and b, they are perpendicular if and only if
=0. If
. Then
.
IN our case a=(5,-1,2) and b) (1,-3,-4). So,

So both gears are perpendicular.