1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mekhanik [1.2K]
3 years ago
5

10 Points!

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0
In this sequence, a₁ equals -1. 

The difference between each term is +3, so the coefficient for n will be 3.

In the sequence, a₂ equals 2. The following equation will fit this sequence, and will be your answer:

a_n = -1 + 3(n - 1)

Proof:
a_1 = -1 + 3(1 - 1) = -1 + 3(0) = -1

a_2 = -1 + 3(2 - 1) = -1 + 3(1) = -1 + 3 = 2
You might be interested in
An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row
natima [27]

Answer:

The number of trees in each row is  21.

Step-by-step explanation:

Let us assume the number of trees in each row  = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651  = m (m + 10)

651 = m^2 + 10m\\\implies  m^2 + 10m - 651 =0\\or,   m^2 + 31m  21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0

⇒ (m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m =  21

Hence, the number of trees in each row is m = 21.

8 0
3 years ago
What value of c makes the polynomial below a perfect square?
malfutka [58]

Answer:

B

Step-by-step explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2(\frac{9}{2} )x + (\frac{9}{2} )²

= x² + 9x + \frac{81}{4} ← the value of c

= (x + \frac{9}{2} )² ← a perfect square

6 0
2 years ago
Read 2 more answers
3 months ago Santos could walk 2 miles in 40 min. today he can walk 2 miles in 25 min. find percent of change
uranmaximum [27]
The percentage of change is -37.5%
8 0
3 years ago
3. Factor.
sleet_krkn [62]
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
5 0
3 years ago
The distance between 5,3 and 1,3
mel-nik [20]

Answer:

(4,0)

Step-by-step explanation:

(5,3) (1,3)

You need to subtract from the x axis on both coordinates and the y axis in both coordinates.

(5-1) (3-3)

(4,0)

I also checked on a graph as well, so it's correct.

4 0
3 years ago
Other questions:
  • What’s is the product of the two solutions of the quadratic equation ax^2+bx+c=0
    7·1 answer
  • Determine which of the following graphs does not represent a function.<br><br> (Help me ASAP)
    5·1 answer
  • Let Y be a random variable with a density function given by
    12·1 answer
  • which term best represents the intersection of two walls next to each other in a room? plane line angle point
    12·2 answers
  • There are 16 cups in 1 gallon about how many cups of water does the bathtub hold
    13·1 answer
  • 5 is what percentage of 8?
    13·1 answer
  • Can someone help with this please
    8·1 answer
  • PLS PLS PLS PLSSSSS HELPPPP
    6·2 answers
  • Plz, help! NO LINKS!!
    6·1 answer
  • Find the value of x........................
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!