Basically the Remainder theorem states that the remainder of dividing a polynomial P(x) by (x - a) is given by P(a).
So for example if we divide x^ 2 - 2x + 7 by x - 2 the remainder will be
2^2 - 2(2) + 7 = 7..
If the remainder is 0 then the divisor will be a factor of the polynomial. This is the Factor Theorem and can be used to test if a given polynomial has a factor x-a.
Step-by-step explanation:
Kindly find attached a summary of the checks she has written from May to August.
A. What is the mean number of checks Jill wrote per month during the last four months
mean= (14+19+23+24)/4
mean= 80/4
mean= 20 checks
B. Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account.
the expression for the total is given as
y=12.50+0.2x
y=12.50+0.2(20)
y=12.50+4
y=16.5
=$16.5
C. Estimate the total monthly fees Jill will pay each month for the new checking account.
May= 12.50+0.2(14)
May=12.5+2.8= 15.3
June= 12.50+0.2(19)
June=12.5+3.8= 16.3
July= 12.50+0.2(23)
July=12.5+4.6= 17.1
August= 12.50+0.2(24)
August=12.5+4.8= 17.3
total will be = 15.3+16.3+17.1+17.3= $66
Step-by-step explanation:
v=s/t
0<t represents ie s
Answer:
x = -1
Step-by-step explanation:
5 less than a number is equivalent to 1 more than three times the number
number = x
x - 5 = 3x + 1
now im going to get the numbers and variable on different sides
x - 5 + 5 = x
3x + 1 - 3x = 1
x + 3x = 4x
1 - 5 = -4
4x = -4
lastly im going to divide each side by 4
4x / 4 = x
-4 / 4 = -1
x = -1
Answer:
16
Step-by-step explanation:
We can list out each of the numbers' prime factors first before deciding their greatest common factor.
16: 2 × 2 × 2 × 2
48: 2 × 2 × 2 × 2 × 3
As you can see the bolded parts, these are the common factors of the two numbers. To find the greatest common factors, we just have to multiply all their common factors together.
Greatest common factor of 16 & 48: 2 × 2 × 2 × 2 = 16
