Answer:
The answer to your question is below
Step-by-step explanation:
(2x⁴ + 7x³ - 3x + 9) - (6x⁴ - 3x³ - 6x² - 17)
Step 1. take out the parenthesis, in the second term, change the signs
2x⁴ + 7x³ - 3x + 9 - 6x⁴ + 3x³ + 6x² + 17
Step 2. Group like terms
(2x⁴ - 6x⁴) + (7x³ + 3x³) + (6x²) + (-3x) + (9 + 17)
Step 3. Simplify like terms
-2x⁴ + 10x³ + 6x² - 3x + 26
Answer:
12 and 15 or
12 and 18 or
15 or 18
Step-by-step explanation:
The two numbers have to both be divisible by 3, since their greatest common factor is 3. This only leaves..
12, 15, or 18 (no other numbers between 10 and 20 are divisible by 3)
The factors of 12 are: 2, 3, 4, 6, and 12
The factors of 15 are: 3, 5, and 15
The factors of 18 are: 2, 3, 6, 9, and 18
All three numbers have 3 as a greatest common factor, so we have 3 pairs of numbers they could be...
12 and 15 or
12 and 18 or
15 or 18
Answer: 362880
The exclamation mark means factorial notation. The rule is we start with the given number, then count down til we get to 1, multiplying all along the way. In this case, we start with 9, then multiply with 8, 7, 6, etc til we get to 1, like so...
9! = 9*8*7*6*5*4*3*2*1 = 362880
Some calculators have a factorial button built in. The button should be labeled with an exclamation mark.
Answer:
k = 9
Step-by-step explanation:
Given
Required
The perfect number
The coefficient c of x in the above equation is:
Divide by 2
Square both sides
Hence, the constant to add is:
Look at the graph at which x=3, then look and see what value y is and that will give you f(3).
