23 good luck hopefully you pass the test
6.
4x^2 + 4 = 0
Divide both sides by 4
x^2 + 1 = 0
Use the quadratic formula since this cannot be factored.
x = (-b +- sqrt(b^2 - 4ac))/(2a)
x = +- sqrt(-4(1)(1))/2
x = +- sqrt(-4)/2
x = +- 2i/2
x = +- i
x = i or x = -i
Quicker solution:
If you have x^2 = number, then
x = +- sqrt(number)
Once you get to
x^2 + 1 = 0
Subtract 1 from both sides
x^2 = -1
Apply the quick method
x = +- sqrt(-1)
x = +- i
8.
2x^2 + 50 = 0
Divide both sides by 2
x^2 + 25 = 0
Subtract 25 from both sides
x^2 = -25
Apply quick method
x = +- sqrt(25)
x = +- 5i
x = 5i or x = -5i
I'm not sure if this question was correctly transcribed but is it suppose to read find if x=15, find y = 6x+30 ?
If so then y = 120
The way it is written now, If x = 15 then 6x cannot equal 30 which is why I asked. Sorry if I'm not understanding the question.
1 gallon = 16 cups
1 quart = 4 cups
1 pint = 2 cups
Therefore...
Multiply
5 gallons × 16 cups = 80 cups
12 quarts × 4 cups = 48 cups
7 pints × 2 cups = 14 cups
Then...
Addition
80 cups + 48 cups + 14 cups = 142 cups
Answer
Myong has 142 cups of rainwater after 3 weeks of collecting rainwater.
Answer:
25/2 a^2 and the alternative form 12.5a^2
Step-by-step explanation: