Simplify step-by-step.
9m−7m+2m
=9m+−7m+2m
Combine Like Terms:
=9m+−7m+2m
=(9m+−7m+2m)
=4m
Answer:
, 12, 48, 192...
a. Write a recursive formula for the nth term of the sequence
Ans: a(n+1) = 4*a(n)
------------------------------
b. Write a general formula for the nth term of the sequence
a(n) = 3*4^(n-1)
--------------
c. Calculate S10 for this sequence
Geometric sequence with a(1) = 3 and r = 4
----?
Step-by-step explanation:
Answer:
The new length of the garden is 80 ft, the new width is 40 ft, and the total area of the new garden is 3200 ft². The area of the new garden will be 8 times larger than the current one. Jane should make her garden 4 times the current length.
Step-by-step explanation:
Juan's garden is 40 ft in length, he wishes to make the length 2 times longer:
Juan's garden is 10 ft in width, he wishes to make the width 4 times longer:
With a length of 80 and width of 40, the total area of the garden is
Since Juan wanted to make the length 2 times longer and the width 4 times longer, the total area of the garden will be
larger than the current garden.
Jane wants to make her garden 20 times the size. Since she's making her garden 5 times longer in width, she needs to make the length of her garden
4 times longer.
<em>The Ordered pair of solution will be (x,y)=(2,3)</em>
<h3>Steps below⤵️</h3>
- Solve the second equation for y
- Substitute the given value of y into the first equation
- Solve the first equation for x
- Substitute the given value of x into the second equation
- Solve the equation for y
- The possible solution of the system is the ordered pair (x,y)
- And we are done solving!!~
Answer:
Step-by-step explanation:
Take the area of the yard and subtract from it the area of the pool. In quadratic form, the area of the pool is
Subtracting the area of the pool from the area of the yard:
Since the negative in front of the parenthesis will change the signs inside:
Combine like terms to get the area left after the pool goes in: