Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.
Question:
The nth term of a sequence is
. Find the fifth term of the sequence
Answer:
The 5th term of the sequence is 37.5
Step-by-step explanation:
Given

Required
Find the 5th term
To find the 5th term, we simply substitute 5 for n in the above expression.
This gives




<em>Hence, the 5th term of the sequence is 37.5</em>
Plug y=2x+1 into <span>x+2y=17, we have:
x+ 2(2x+1)= 17
</span>⇒ x+ 2*2x+ 2*1= 17 (distributive property)
⇒ x+ 4x+ 2= 17
⇒ 5x= 17-2
⇒ 5x= 15
⇒ x= 15/5
⇒ x= 3
<span>
y= 2x+1= 2*3+1= 7
Final answer: x= 3, y= 7~</span>