490x + 700y < 4000 490x + 700y ≤ 4000 490x + 700y > 4000 490x + 700y ≥ 4000
Answer:
answer is b
Step-by-step explanation:
Answer:
X=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can describe it as a linear function with points of:
Slope intercept formula:
Finding the slope using the two given points:
Finding b:
Formula obtained:
For x = 20, value of y is:
To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.
To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:
slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260
y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700
Therefore, the equation of the line is y = 260x + 700.
To find the cost to produce 20 heaters, we substitute x = 20 into the equation:
y = 260 * 20 + 700 = 5200 + 700 = 5900
So, the cost to produce 20 heaters is $5900.
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The value of h that satisfies the equation |h-8|=|h+10| is -1.
To solve the equation |h - 8| = |h + 10|, we need to consider two cases based on the absolute values.
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