Answer:
x=12
Step-by-step explanation:
since they are similar triangle .Use these ratios
9/6=x+9/14
do cross multiplication
6(x+9)=14*9
6x+54=126
6x=126-54
x=72/6
x=12
Let us take the case of United Building Company First
Rate per square foot = $15.75
Conference fee taken per hour = $45.99
Total conferencing hours = 4 hours and 15 minutes
= 4.15 hours
Total square feet of the house = 12226 square feet
Then
The total cost taken by the company = (15.75 * 12226) + ( 45.99 * 4.15) dollars
= 192559.5 + 190.86 dollars
= 192750.36 dollars
So the total amount taken by United Building Company is $192750.36 dollars
Now let us take the case of American Contracting Company
Rate per square foot taken = $12.46
Flat conferencing fee taken = $230
Then
The total cost taken by the company = (12.46 * 12226) + 230
= 152335.96 + 230 dollars
= 152565.96 dollars
So the total cost taken by the American Contracting Company is $152565.96.
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
The function is nonlinear because it does not have a constant rate of change
