Answer: Simplify your answer will be 2x^2 X + 3xX - 6x^2 - 4X _ 9x + 12
Step-by-step explanation: Multiply each term in the first expression by each term in the second expression and combine like terms.
let the 2 numbers be x and x + 2
since they are 2 consecutive even numbers, the difference between them is 2
the difference between the reciprocals is 1/60

we have to mulitply the 2 denominators x and (x+2) to get a common denominator for the 2 fractions

=

we can then remove the brackets from the numerator and denominator

and then cross multiply
60 * 2 = x² + 2x
120 = x² + 2x
x² + 2x - 120 = 0
we have a quadratic equation which needs to be solved
x² + 12x - 10x - 120 = 0
x (x + 12) - 10(x + 12) = 0
(x - 10) (x + 12) = 0
x - 10 = 0 or x + 12 = 0
x = 10 x = -12
since we haven't been told if the whole numbers are positive or negative,
2 numbers could be 10 and 12
or
- 12 and - 10
Answer:
1,274
Step-by-step explanation:
5a^4 + 6b^3 when a = 4 and b = -1
~Substitute
5(4)^4 + 6(-1)^3
~Solve the exponents
5(256) + 6(-1)
~Multiply
1280 - 6
~Subtract
1,274
Best of Luck!
Given:
The arithmetic sequence is −15, −33, −51, −69.
To find:
The nth term of the arithmetic sequence.
Solution:
We have,
−15, −33, −51, −69
Here,
First term: a = -15
Common difference is



Now, nth term of an arithmetic sequence is

Substitute a=-15 and d=-18.



Therefore, the nth term of the given arithmetic sequence is
.
Answer:
here this should be the answer