first one: Juan plans to mix blue paint and red paint to create purple paint. The ratio of the number of gallons of blue paint t
o the number of gallons of red paint is 1:3 Complete the table to show how many gallons of red paint Juan needs for the given number of gallons of blue paint.
1 answer:
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<h2>Hello!</h2>
The answer is:
The interval notation will be: (-∞,-1.59) and (-4.41,∞+)
<h2>Why?</h2>To solve the expression, we need to perform the following steps:
- Find the roots or zeroes of the expression:
Using the quadratic equation, we have:
We are given the quadratic expression:
Where,
Then, substituting and calculating we have:
- Inequality interpretation:
Now that we already know the roots of the quadratic expression, and we can see that the parabola open upwards (positive quadratic coefficient), we can conclude that the function is less than 0 between the numbers -4.41. and -1.59
The interval notation will be:and (-∞,-1.59) and (-4.41,∞+)
Have a nice day!
Note: I have attached a picture for better understanding.