Answer:
<CDG = 118 degrees
Step-by-step explanation:
Alternate interior angles are congruent.
Answer:
x = 20,000
p = $40
If the price increase by $1, the demand will decrease by 1000
Step-by-step explanation:
Given:
x = 160 - p
x = number of Robby costumes demanded in thousands
p = price in dollars.
a. How many costumes can be sold at a price of $140?
x = 160 - p
x = 160 - 140
= 20
x = 20,000
20 thousand costumes can be sold at a price of $140
b. What price should be charged if the demand is 120,000 Robby costumes?
x is in thousand
p is in dollars
x = 160 - p
x + p = 160
120 + p = 160
p = 160-120
= 40
p = $40
c. If the price increases by $1.00, by how much does the demand decrease?
x = 160 - p
= 160 - 141
= 19
x= 19,000
If the price increase by $1, the demand will decrease by 1000
Corresponding parts of corresponding triangles are congruent and angle additional postulate ?
The first one (y2=m(x2-x1) +y1
Remark
What value of k will make the entire polynomial = 0 when k is meant to be a factor? In brief, solve the polynomial when f(-3) is substituted into the right hand side.
f(x) = 2x3+x2+kx+18
f(-3) = 2x3+x2+kx+18
f(-3) = 2(-3)^3 + (-3)^2 - 3k + 18 = 0
-54 + 9 - 3k + 18 = 0
-54 + 9 + 18 - 3k = 0
-27 - 3k = 0
- 3k = 27
k = 27/ - 3 = - 9
Answer
k = -9
Check
2x^3 + x^2 - 9x + 18 = 0
2(-3)^3 + (-3^2) - 9(-3) + 18 = 0
-54 + 9 + 27 + 18 = 0 Just as it should be.
