Answer:
( 19/3 , 2 )
Step-by-step explanation:
Given in the question,
point D(7,1)
x1 = 7
y1 = 1
point F(5,4)
x2 = 5
y2 = 4
Location of point E which is 1/3 of the way from D to F
which means ratio of point E from D to F is 1 : 2
<h3>a : b</h3>
1 : 2
xk = 
yk = 
Plug values in the equation
xk = 7 + (1)/(1+2) (5-7)
xk = 19/3
yk = 1 + (1)/(1+2)(4-1)
yk = 2
Answer:
25/29
Step-by-step explanation:
see the attached picture.
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
