Answer:
Step-by-step explanation:
x° + y° = 180°
2y° - 0.5x° = 180°
y° = 108°
x° = 72°
For this case we have the following quadratic functions:
Revenue: 
Cost: 
Then, we observe that the profit is given by the following mathematical relationship:
Substituting values we have:
Making the corresponding calculations we have:
Answer:
An expression that represents the profit is:
Answer:
He failed to flip the inequality
y ≤-1/2x-4
Step-by-step explanation:
-x-2y ≥8
Add x to each side
-x+x-2y ≥x+8
-2y ≥x+8
Divide by -2. Remember to flip the inequality
-2y/-2 ≤-1/2 x +8/-2
y ≤-1/2x-4
Shawn shaded the wrong side of the line.
Y is less than or equal to . He failed to flip the inequality
Answer:
y = -1
Step-by-step explanation:
Notice that the line x = 9 is a vertical line, therefore a line perpendicular to it will be a horizontal line of the form y = constant number.
Since we want it to go through the point (9, -1), then we know that that y value needs to be "-1", and the equation of the line will be given by the expression:
y = -1
To solve this problem, we need to get the variable x alone on one side of the equation. To begin, we are going to use the distributive property twice on the left side of the equation to expand the multiplication and get rid of the parentheses.
4(x-1) - 2(3x + 5) = -3x -1
4x - 4 -6x - 10 = -3x - 1
Next, we should combine like terms on the left side of the equation. This means we should add/subtract the variable terms and the constant terms in order to simplify this equation further.
-2x - 14 = -3x - 1
Then, we have to add 3x to both sides of the equation to get the variable terms all on the left side of the equation.
x - 14 = -1
After that, we should add 14 to both sides of the equation to get the variable x alone one the left side of the equation.
x = 13
Therefore, the answer is 13.
Hope this helps!
