Answer:
x = 5
Step-by-step explanation:
the supplementary angle of (19x-18) = 180 - (19x-18) = 198-19x
all interior angles of a triangle = 180 degrees
180 = (7x+1) + (10x-9) + (198-19x)
180 = 7x+10X-19x+1-9+198
180 = -2x+190
-2x = -10
x = 5
Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Answer:
$ 1250
Step-by-step explanation:
output = 50 units per day
average total cost = $ 60
total cost = output × average total cost =50 × 60 = $ 3000
total variable cost = output × average variable cost = 35 × 50 = $ 1750
total cost = total fixed cost + total variable cost
total fixed cost = total cost - total variable cost = $ 3000 - $ 1750 = $ 1250
When you substitute those numbers in and solve the answer is 34.5