Answer:
Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.
Let's solve this by completing the square:
x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:
(x + 1)^2 + 7 ≤ 0
Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)
Then the solutions are x = -1 + i√7 and x = -1 - i√7
There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.
Answer:
1. 2
2. -9
3. 2+-9
4. -7
5. -15 + 8 = -7
Step-by-step explanation:
The surface of the water is 0. If Paula is above the surface of the water than she is positive. If she is below or heading down she is negative. She starts 2 feet above which is 2. She descends a total of -9 from 2 to -7. She ends up -7 or 7 feet below surface. So she travels from 2+-9 = -7.
Yolanda owes her friend $15 or -15. She earns $8 a week or +8. If she earns 8 dollars this week and pays Yolanda back then -15+8=-7. She now owes $7.
We have the question...
How many times does 3 go into 35?
Well, this is pretty simple all you have to do is count up by 3s until you get to the number. Remember, it doesn't have to be exact though. So, here we go count by threes 11 times. We get 33 from 3*11. Therefore, your answer will be 11 times.
Answer:
The sum of the first 5 terms is -244
Step-by-step explanation:
To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.
The first term here is -4
The common ratio is T2/T1 or T3/T2 = 12/-4 = -3
number of terms n = 5
The formula to use is;
Sn = a(1-r^n)/(1-r)
Plugging these values, we have;
Sn = -4(1-(-3)^5)/(1-(-3))
Sn = -4(1+243)/4 = -1(244) = -244
Answer:
T = 36
Step-by-step explanation:
T = 5(4.2)-6(-2.5)
T = 21 + 15
T = 36
