Answer:
{x | x < - 35 / 2}
Step-by-step explanation:
-4x / 7 > 10
Multiply both sides by 7
-4x /7 * 7 > 10 * 7
-4x > 70
Divide both sides by - 4
-4x / - 4 > 70 / - 4
x < - 35 / 2 (inequality sign changes)
We can't tell from the graph whether the left point of each step is included, or the right point. If the left, this is a graph of
y = 7 + floor(x)
Answer:
<em>C.</em> 
Step-by-step explanation:
Given

Required
Determine which binomial expansion it came from
The first step is to add the powers of he expression in brackets;


Each term of a binomial expansion are always of the form:

Where n = the sum above

Compare
to the above general form of binomial expansion

Substitute 6 for n

[Next is to solve for a and b]
<em>From the above expression, the power of (5) is 2</em>
<em>Express 2 as 6 - 4</em>

By direct comparison of

and

We have;

Further comparison gives



[Solving for a]
By direct comparison of 



[Solving for b]
By direct comparison of 


Substitute values for a, b, n and r in



Solve for 








<em>Check the list of options for the expression on the left hand side</em>
<em>The correct answer is </em>
<em />
Answer:
Volume = 52.5
Step-by-step explanation:
volume of a rectangular 3d shape can be calculated by length*width*height. In this case:
7*10*0.75 = 52.5
Answer:
1st problem:
Converges to 6
2nd problem:
Converges to 504
Step-by-step explanation:
You are comparing to 
You want the ratio r to be between -1 and 1.
Both of these problem are so that means they both have a sum and the series converges to that sum.
The formula for computing a geometric series in our form is
where
is the first term.
The first term of your first series is 3 so your answer will be given by:

The second series has r=1/6 and a_1=420 giving me:
.