Answer:
(2 x)/15
Step-by-step explanation:
Simplify the following:
(4 x)/5 - (2 x)/3
Put each term in (4 x)/5 - (2 x)/3 over the common denominator 15: (4 x)/5 - (2 x)/3 = (12 x)/15 - (10 x)/15:
(12 x)/15 - (10 x)/15
(12 x)/15 - (10 x)/15 = (12 x - 10 x)/15:
(12 x - 10 x)/15
12 x - 10 x = 2 x:
Answer: (2 x)/15
Answer: quotient is 2x^2 + 10x - 5
Solution:
The first polynomial is miswritten.
The right one is: 2x^3 + 4x^2 - 35x + 15.
So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)
The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.
So, in this case it is:
3 | 2 4 -35 15
---------------------------------
2 10 - 5 0
So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.
I like to show it in this other way:
| 2 4 -35 15
|
|
3 | +6 +30 -15
--------------------------------
2 10 - 5 0
Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
Answer:
The 26th term of an arithmetic sequence is:
Hence, option A is true.
Step-by-step explanation:
Given
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = -33 and d = 4 in the nth term of the sequence
Thus, the nth term of the sequence is:
now substituting n = 26 in the nth term to determine the 26th term of the sequence
Therefore, the 26th term of an arithmetic sequence is:
Hence, option A is true.
Answer:
4 liters
Step-by-step explanation:
300 × 12 = 3600 ml
3600 + 400 = 4000 ml
1 liters = 1000 ml
liters to milliliters need to × 1000
milliliters to liters need to ÷ 1000
4000 ÷ 1000 = 4 liters
