Step-by-step explanation:
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Answer:
4
Step-by-step explanation:
Assign x for the number. Write an equation.
2x = 6+.5x (I'm guessing you means "6 more than half that number")
1.5x = 6 -->
x = 4
Answer:
-45˚
Step-by-step explanation:
Because the quadrant is 90˚ and 90 ÷ 2 = 45 and it in in the negative area. Therefore he angle is -45˚
Answer:
Demand: q = -50p + 1200
Supply: q = 40p
Step-by-step explanation:
First let's define our variables.
q = quantity of T-shirts
p = price
We know that when p = 12, q = 600. When p increases by 1, q decreases by 50. So this is a line with slope -50 that passes through the point (12, 600). Using point-slope form to write the equation:
q - 600 = -50 (p - 12)
Converting to slope-intercept form:
q - 600 = -50p + 600
q = -50p + 1200
Similarly, we know that when p = 9.75, q = 600 - 210 = 390. When p increases by 1, q increases by 40. So this is a line with slope 40 that passes through the point (9.75, 390). Using point-slope form to write the equation:
q - 390 = 40 (p - 9.75)
Converting to slope-intercept form:
q - 390 = 40p - 390
q = 40p