Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
9514 1404 393
Answer:
in order by function: 0.6, 8, 7/3, 2, 1/2
Step-by-step explanation:
The functions are given in the form ...
f(x) = a·b^x
The "b" value is the value immediately to the left of the exponent. (It's not rocket science; it's pattern matching.) Note that the minus sign in g(x) is part of 'a', not part of 'b'.
From the top-down, the functions listed on the left have the b-values shown above.
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values:
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 = 8 24/27 = 8 8/9
What you have to do is add all of the numbers:
5.98 + 16.39 + 2.25 + 2.29 =
$26.91
Hope that helps!