Step-by-step explanation:
First you must simplify the equation:
subtract 1 from both sides:
than divide both sides by -3, which switches the inequality sign:
This inequality means that all values of x greater than -2 work for the equation. because it is not 
, -2 is not included, so there will be a hollow circle there. than the inequality will have a line from that dot to the right so that all values of x that work for the inequality are on that line.
Answer:
4
Step-by-step explanation:
f(x) = 4 ^ ( x-2)
Let x=3
f(3) = 4 ^ ( 3-2)
= 4 ^ 1
= 4
Answer:
this hard
Step-by-step explanation:
The given expression is
We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.
Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.
Now let's group terms which have the same variables.
We can see that there are two groups:
Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.
If we put the groups back together into the expression,
We can see that
. So (D) is the answer. Hope this helped.
Answer:
5.33
Step-by-step explanation:
move the 4 out of the summation because just a constant multiplier
4 *sum from 1 to 10 for (1/4)^(n-1) [sorry i don't know how to write sums using latex)
The formula for the geometric sum is :
First term*(1-multiplier^n)/(1-multiplier), formally 
Here multiplier is 1/4
First term is (1/4)^(1-1) = 1
Thus the value of sum is 
which equals 
We factored out 4 so its 
which is 
This equals 5.333328247 which is 5.33 to the nearest hundredth
