Heyya
I think the pattern is (n+1)^5
1=1^5
32 = 2^5
243 = 3^5
1024 = 4^5
3125 =5^5
Then the next number should be 6^5 = 7776
Hope you get it
Work the information to set inequalities that represent each condition or restriction.
2) Name the
variables.
c: number of color copies
b: number of black-and-white copies
3)
Model each restriction:
i) <span>It
takes 3 minutes to print a color copy and 1 minute to print a
black-and-white copy.
</span><span>
</span><span>
3c + b</span><span>
</span><span>
</span><span>ii) He needs to print
at least 6 copies ⇒
c + b ≥ 6</span><span>
</span><span>
</span><span>iv) And must have
the copies completed in
no more than 12 minutes ⇒</span>
3c + b ≤ 12<span />
4) Additional restrictions are
c ≥ 0, and
b ≥ 0 (i.e.
only positive values for the number of each kind of copies are acceptable)
5) This is how you
graph that:
i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.
ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.
iii) since c ≥ 0 and b ≥ 0, the region is in the
first quadrant.
iv) The final region is the
intersection of the above mentioned shaded regions.v) You can see such graph in the attached figure.
Answer:

Step-by-step explanation:
Since we're finding the product, we have to multiply:
× 
You can simplify in this stage by using the "butterfly method", and dividing
by
, and
by
, you'd then have:
× 
Multiply the numerators and the denominators to get:

~
If you prefer the longer way, again, multiply:
× 
Multiply the numerators and the denominators:

Simplify the fraction by dividing both the numerator and denominator by
:

Question:
Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?
Answer:

Step-by-step explanation:
Given


Required
Determine the coordinates of T
The coordinates of T can be represented as 
To do this, we simply solve for x and y

Solve 6 - 2

Solve 1/2 * 4



Solve 4 - 6

Solve 1/2 * -2


Hence, the coordinates of T(x,y) is:
