Y = x² + 4x - 5
y = 2x
x² + 4x - 5 = 2x
<u> - 2x - 2x</u>
x² + 2x - 5 = 0
x = <u>-(2) ± √((2)² - 4(1)(-5))</u>
2(1)
x = <u>-2 ± √(4 + 20)</u>
2
x = <u>-2 ± √(24)
</u> 2
x = <u>-2 ± 2√(6)</u>
2
x = -1 ± √(6)
x = -1 + √(6) U x = -1 - √(6)
y = 2x
y = 2(-1 ± √(6))
y = 2(-1) ± 2√(6)
y = -2 ± 2√(6)
(x, y) = (-1 ± √(6), -2 ± 2√(6))
<u />
23
Those are not the answer:
1) 20 - can be divided by 2
2) 21 - can be divided by 3
3) 22 - can be divided by 2
4) 24 - can be divided by 2 and 4.
5) 25 - can be divided by 5
6) 26 - can be divided by 2
7) 27 - can be divided by 3
8) 28 - can be divided by 2 and 4
Answer: Third option.
Step-by-step explanation:
You know that the drawbridge rises at a rate of
feet per minute. This means that the drawbridge rises
in a minutes.
Convert from mixed fraction to decimal number:
Since the drawbridge rises to a height of 50 feet, you need to apply this procedure in order to find the time the drawbridge takes to completely rise:
or
Answer:
<em>summation of five times negative three to the power of n from n equals zero to infinity</em>
Step-by-step explanation:
<u>Summation Notation
</u>
It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:
5-15+45-135+...
If we take 5 as a common factor, we have
5(1-3+9-27+...)
The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1
The summation is then represented by

This corresponds with the option:
<u>summation of five times negative three to the power of n from n equals zero to infinity</u>