Answer:
260 seashells
Step-by-step explanation:
If there are 50 seashells on the beach and after one week there are 120 seashells on the beach and this same pattern continues, then the number of sea shells form weekly will form an arithmetic progression.
The sequence formed will be;
50,120...
To find the number of seashells that we will have in the 4th week is equivalent to finding the 4th term of the sequence.
The formula for calculating the nth term of a sequence is as given below;
Tn = a+(n-1)d where;
a is the first term
n is the number of terms
d is the common difference.
According to the sequence;
a = 50,
d = 120-50 = 70
n = 4 (since we are looking for the 4th term)
Substituting this values in the given formula we have;
T4 = 50+(4-1)70
T4 = 50+3(70)
T4 = 50+210
T4 = 260
This means that there will be 260seashells on the 4th week if the same pattern continues.
Answer:
Step-by-step explanation:
In the first part the given polynomial is
, we have to divide this polynomial by (x-1) using synthetic division.
Here are the steps of synthetic division
Step 1: Set up the synthetic division table in which the coefficients are written in descending power of x.
Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
Step 3: Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. Here, a is 1(taken from divisor)
Step 4: Add the column made in step 3. Repeat these steps until the last column reached.
In the second part,
It is given that divisor polynomial is the factor of given polynomial then we have to tell the remainder which is 0 because if divisor polynomial is the factor the it will completely divide the given polynomial which gives remainder 0.
In the third part,
Given when one uses the synthetic division to divide by (x-3) then what number is used to multiply each term that is dropped down or added.
As explained the steps of synthetic division in first part
x-3=0 ⇒ x=3 which is a
In step 3, Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. So, 3 is multiplied.
As explained in Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
The columns which is formed by above steps are added.
Answer:
GCF = 3
Factor = 3(x^2-100)=0
Solutions are: x = 10, -10
Step-by-step explanation:
You have to factor out GCF which is 3 which then makes the equation 3(x^2-100)=0. After that you basically have (x^2-100)=0. Which then you solve for x which is a difference of squares and the answers are 10 and -10 for x.
The median is 2. The median is the middle of the data set.
Answer:
no, its not equivalent
Step-by-step explanation:
10/5= 2
5/10=0.5