Add polynomials

Simplify:

(-5a^3 - 2a^2) + (6a^3+9a^2+8a)

Answers

Answer 1

Answer: If you would like to calculate (-5a^3 - 2a^2) + (6a^3 + 9a^2 + 8a), you can do this using the following steps:

(-5a^3 - 2a^2) + (6a^3 + 9a^2 + 8a) = -5a^3 - 2a^2 + 6a^3 + 9a^2 + 8a = a^3 + 7a^2 + 8a

The correct result would be a^3 + 7a^2 + 8a.

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A recursive rule for a geometric sequence is a1=3;an=1/2(an−1) What is an explicit rule for this sequence?

Answers

Answer:The explicit rule for this sequence:

$a_n=a_1(r)^(n-1)=3((1)/(2))^(n-1)$

Step-by-step explanation:

$a_1=3$

$a_n=(1)/(2)a_(n-1)$

Where $a_n$ = n'th term in a sequence

$a_2=(1)/(2)a_((2-1))=(1)/(2)a_1=(1)/(2)* 3=(3)/(2)$

The value 'r' is geometric mean is given as:

r = common ratio

$r=(a_2)/(a_1)=((3)/(2))/(3)=(1)/(2)$

The explicit rule for this sequence:

$a_n=a_1(r)^(n-1)=3((1)/(2))^(n-1)$

A recursive rule for a geometric sequence is a1=3;an=1/2(an−1)
explicit rule
an = (3)(1/2 )^n−1

1) Area = 150 in?, width = 10 in
What’s the length =

Answers

Answer:

L = 15 in.

Step-by-step explanation:

area = L * W

150 = L * 10

L = 150 / 10

L = 15 in.

If six crates holds 360 hammers, how many hammers does each crate hold individually

Answers

Take 360 and divide it by 6 and get 60. 360/6=60

Roger is having a picnic for 78 guest he plans to serve each guest at least one hotdog if each package P contains eight hotdogs which inequality could be used to determine how many packages of hot dogs Roger will need to buy

Answers

amount=number of hotdogs per package times number of packages
amount=8 times P
amount=8P

amount must be equal to or greater than 78 since each guest wants 1 at least
amount>78
8P>78
(if you wanted to solve, the answer is at least 10 packages)

Answer:

Step-by-step explanation:

Jacob’s recipe calls for 4 7/8 cups of raisins. He has 6/11 of the amount that he needs.About how many cups of raisins does Jacob have?

Estimate by first rounding each number to the nearest 1/2.

A.4 cups

B.5 1/2

C.2 1/2

D.3 1/2

Answers

If you would like to know how many cups of raisins does Jacob have, you can calculate this using the following steps:

6/11 ... 1/2
4 7/8 cups ... 5 cups

1/2 of 5 cups = 1/2 * 5 = 5/2 = 2 1/2 cups

The correct result would be C. 2 1/2.

if Justin is 2 years older than ethan and in 9 years the sum of their ages will be 38 how old are they now? Can someone please help me with this question