Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
x = [-5 ± √(25 - (-40) ) ] / ( -4 )
x = [-5 ± √(65) ] / ( -4)
x = [-5 ± sqrt(65) ] / ( -4 )
x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
Irrational
We know that pi is irrational (we can’t express it as a ratio of two numbers), and we are multiplying it by a rational number (-2). However -2 lots of something with infinite digits, will still have infinite digits, therefore it is irrational.
Answer: 2.225 kg
Step-by-step explanation:
You know that:
- The total weight the farmer sold was 8.9 kilograms.
- 3/4 of this weight is apples, and the rest is pears.
Therefore, to calculate the amount of kilograms of pears she sold at the farmer's market (which you can call x), you need to apply the following proccedure.
Thefore, you obtain the following result:
Answer:
60.5 milligrams per square centimeter First, determine how many half lives have expired by dividing the time by the half-life. So: 55/20 = 2.75 That means that only 2^(-2.75) = 0.148650889 = 14.8650889% of the original substance remains. So just divide the amount remaining by 0.148650889 to get the original amount. 9 / 0.148650889 = 60.5445419 So originally, there was 60.5 milligrams per square centimeter 55 years ago.
now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus
