Hey there! I'm happy to help!
When looking for a conclusion, we have to find something that we can figure out from the information but they don't directly tell us.
Answer B says that a conclusion is that the lines meet at a 90 degree angle, but they already told us that, so this is wrong.
Answer C does the same thing, so it is wrong as well.
A 90 degree angle is a right angle. They already told us that the lines intersect at a right angle, so this is not a conclusion.
Answer A says that the lines are perpendicular. They don't directly tell us that these specific lines are perpendicular, but from the information they gave us we can figure it out. Therefore, the correct answer is A. The lines are perpendicular.
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Mx” is the slop of this equation
Given the function, P = 22x - 1200, be the model determining the profit of Henry's new business. Now, the lowest amount that P could generate would be when Henry does not sell any shirt. This gives x a value of 0 and P = 0 - 1200 = -1200.
Now, he can get the highest profit when he gets to sell all of the 600 shirts. Thus, we have x = 600 and P = 22(600) - 1200 = 12000.
Since the minimum and maximum values of P are -1200 and 12000, then the range of P would be {-1200 ≤ p ≤ 12000}.
Answer: D) {-1200 ≤ p ≤ 12000}
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The number of folders and notebooks in the equation is given by 3 and 5 respectively.
<h3>How to find number of folders and notebooks?</h3>
let
- x = number of folders
- y = number of notebooks
The equation:
x + y = 8
0.50x + 1.0y = 6
From (1)
x = 8 - y
Substitute x = 8 - y into (2)
0.50(8 - y) + 1.0y = 6
4 - 0.50y + 1.0y = 6
4 + 0.40y = 6
4 - 6 = -0.40y
-2 = - 0.40y
y = -2 / 0.40
y = 5
Recall
x + y = 8
x + 5 = 8
x = 8 - 5
x = 3
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