Answer:
Step-by-step explanation:
x + 2 + 57 = 90
x + 59 = 90
x = 31°
x + 2 = 33°
(fg)(x)= x³ - 7x² - 9x + 8
domain is (-∞,∞)
Given: f(x)= x-8, g(x)= x² +1x - 1
To find (fg)(x) we multiply f(x) and g(x)
(fg)(x) = f(x) * g(x)
(fg)(x)= (x-8) (x²+x-1)
(fg)(x)= x³ + x² - x - 8x² - 8x +8
(fg)(x)= x³ - 7x² - 9x + 8
we know, domain for all cubic function is set of all real numbers
domain is (-∞,∞)
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Answer: The tailor made 8 complete hats
Step-by-step explanation:
Amount of fabrics available to make hat = 6 2/3 yards
1 hat requires = 5/6 yards
Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat
=(6 2/3) / (5/6)
(20/3) / (5/6)
20/3 x 6/5 = cancelling out, we are left with
4x2= 8 hats
or
(20/3) / (5/6)
6.6666 /0.83333
= 8.00002= 8 hats
Answer:
46% of Xander's friends prefer to stay home on Friday nights.
Step-by-step explanation:
Formula

As given

i.e
Zanders friends prefer to stay home on Friday night = 23
Total numbers of Zanders friends are 50.
Part value = 23
Total value = 50
Put in the formula


Percentage = 46%
Therefore 46% of Xander's friends prefer to stay home on Friday nights.