Answer:
x^3 -9x^2 +14x +24
Step-by-step explanation:
(x-4)(x^2 - 5x - 6)
Multiply the x by everything in the second term
x * (x^2 - 5x - 6)
x^3 -5x^2 -6x
Multiply the -4 by everything in the second term
-4 * (x^2 - 5x - 6)
-4x^2 +20x +24
Add everything together
I like to line them up vertically
x^3 -5x^2 -6x
-4x^2 +20x +24
-------------------------------
x^3 -9x^2 +14x +24
I started this one then got busy with other things.
z and 71 deg form a same side interior pattern
they're supplementary angles
sum to 180 degrees
z + 71 = 180
z = 180 - 71
z = 109 degrees
z and x are alternate angles
their measures are the same
z = 109 deg so x = 109 deg
y and 71 deg form adjacent angles which are supplementary
sum to 180 degrees
y = 180 - 71 = 109 deg
x = 109 deg, y = 109 deg, z = 109 deg
Part b
w and 88 form a supplementary pair
they add to 180 deg
w = 180 - 88 = 92 deg
v and 101 deg are vertical or opposite angles
They are congruent
So v = 101 deg
39781 x 5 = 198905
There are 198905 jelly beans in total:)
Answer:
Infinite solutions
Step-by-step explanation:
5(-3x-2)-(x-3)=-4(4x+5)+13
-15x-10-x+3=-16x-20+13
-16x-7=-16x-7
-16x=-16x
-x=-x
x=x
There are infinite many solutions
Answer:
Hence, the hourly rental fee is 
.
Step-by-step explanation:
Time for which Roberto rented the truck 
hours.
Rental fee 
Time for which Allison rented the truck 
hours.
Rental fee 
Both companies have the same hourly rental fee.
Let the hourly rental fee of both the companies be 
.
Both spent the same amount.
So, according to the question,
Hence, the hourly rental fee is .
