Answer:
10 units
Step-by-step explanation:
Represent the length of the shortest side of the triangle by x. Then the sum of the lengths of the other two sides is 2(x + 1), and the perimeter of the triangle is thus x + 2(x + 1), or 3x + 2.
Represent the side length of the square by x - 2. Then the perimeter of the square is 2(x - 2) + 2(x - 2) = 4(x - 2) = 4x - 8, and this perimeter matches that of the triangle:
4x - 8 = 3x + 2, or
x = 10
The length of the shortest side of the triangle is 10 units.
f(x) = 2x
g(x) = x + 3
First let us find (fog)(x)
<span />
(fog)(x) = f(g(x)
= f(x+3)
= 2(x+3)
= 2x + 6
==> (fog)(x) = 2x + 6
Now let us find (gof)(x):
(gof)(x) = g(f(x)
= g(2x)
= 2x + 3
==> <span>(gof)(x) = 2x + 3</span>
<span>The commutative property of multuplication is that ab = ba. Therefore, 70 x 6000 = 6000 x 70. The associative of multiplication means the items can be regrouped without changing the answer: a(bc) = (ab)c. This means 70 x 6000 = 70 x 6 x 1000.</span>
Okay so say that x=amount invested with 6% and y=amount invested with 9%
x+y=8,500 so > x=8500-y
6%=0.06 <span>9%=0.09</span>
0.06x +0.09y=667.5 (Substitute in x=8500-y so only numbers and y)
0.06(8500-y)+0.09y=667.5 (expand brackets)
510-0.06y+0.09y=667.5 (-510)
0.03y=117.5 (/0.03)
$3916.67=Y ->9%
X=8500-Y
x=$4583.33 ->6%
