On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to th
1 answer:
The linear inequality of the given graph is: D. y < -2x + 3.
<h3>How to Determine the Linear Inequality of a Graph?</h3>First, using two points on the line, (0, 3) and (1.5, 0), find the slope (m).
Slope (m) = change in y / change in x = (3 - 0) / (0 - 1.5)
Slope (m) = 3/-1.5 = -2.
Next, substitute (x, y) = (0, 3) and m = -2 into y = mx + b to find the value of b.
3 = -2(0) + b
3 = 0 + b
b = 3
Substitute m = -2 and b = 3 into y < mx + b (the shaded part is at the left, so we use the "<" sign)
y < -2x + 3
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Answer:
For the profit of $5,000, the key chains made is n = 4,000.
Step-by-step explanation:
Here the given expression , where: n = Number of key rings in thousands is given as:
P(n) = n²- 2 n - 3
Now, Profit is given to be $5,000.
Also, as we know 5000 = 5 x (1,000)
⇒ n²- 2 n - 3 = 5
Now, solving the above expression for the value of n, we get:
So, n = 4, OR , n = -2
Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.
So, n= 4 = 4 x (1,000) = 4,000 key rings.
Hence, for the profit of $5,000, the key chains made is n = 4,000.