Answer: the list of roots is {-4, 2, -3+2i, -3-2i}
Use the quadratic formula to get the roots of the two separate terms in brackets:
x^2+6x+8=0 has solutions: -4 and 2
x^2+6x+13=0 has solutions: -3+2i and -3-2i
Answer:
$320
Step-by-step explanation:
First, add up all of the money she expects to spend:
120 + 45 + 65 + 60
= 290
Then, add 30 to this, since she wants to have $30 left:
290 + 30
= 320
So, she should bring $320
Answer:
equation :water remaining in pool after 30 mins= 0.027X
answer = 67.5 Gallon
Step-by-step explanation:
Given
quantity of water in pool = 2500 gallon
percentage of water lost every 10 mins = 70%
therefore percentage of water remaining in pool = (100- 70)% = 30%
Let the quantity of water in pool be X gallon
% of water remaining in gallon after 10 mins = 30% of X = 0.3X
% of water remaining in gallon after another 10 mins = 30% of water at 10 mins = 30% of 0.3 X = 0.3 * 0.3X = 0.09 X
% of water remaining in gallon after another 30 mins = 30% of water present at 20 minutes = 30% of 0.09 X = 0.3 * 0.09X = 0.027X
Therefore equation of water remaining after 30 mins is = 0.027 X
Substituting value of initial quantity of water in the above equation we get the volume pf water remaining in pool after 30 mins = 0.027 * 2500
= 67.5 gallons
- 4 = 3x
= 3x + 4 <em>added 4 to both sides</em>
6x + 8 = 2(3x + 4) <em>multiplied both sides by 2</em>
6x + 8 = 6x + 8 <em>distributed 2 on the right side</em>
8 = 8 <em>subtracted 6x from both sides</em>
TRUE
Since this makes a trues statement, then there are infinite solutions
Answer: All real numbers