For this case we have to:
Given the quadratic equation of the form:
The roots are given by:
If we have: 
We can rewrite it in the following way:
Where:
Where we have:
By definition: 
Thus, the roots are given by imaginary numbers:
Answer:
To solve an equation for one variable, we will utilize PEMDAS ( parentheses, exponents, multiplication/division, add/subtract) but backwards. So we will first add/subtract any numbers to the other side to get the variable by itself. We will then divide/multiply any numbers to get the variable by itself.
Answer:
x = 8
y = 21
Step-by-step explanation:
y = 4x − 11
x + y = 29
Solve for x:
x + y = 29
x + 4x − 11 = 29
5x − 11 = 29
5x = 40
x = 8
Solve for y:
y = 4x − 11
y = 4 × 8 − 11
y = 21
Answer:
Inequality: 7.5x – 100 > 79.86 + 5.8x
Solution: x>106
The company must sell at least 106 items to make a profit.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Revenue: 7.5x – 100
Costs: 79.86 + 5.8x
To make a profit, a company’s revenue must be greater than its operating costs.
So:
7.5x – 100 > 79.86 + 5.8x
Solving for x (number of items sold)
7.5x-5.8x>79.86+100
1.7x >179.86
x>179.86/1.7
x> 105.8
x>106
The company must sell at least 106 items to make a profit.
Feel free to ask for more if needed or if you did not understand something.
