Answer:
domain: (-5, infinity)
range: (-infinity, 2)
Step-by-step explanation:
Step One
Begin by getting one side of the question equal to zero.
32x -4 = 4x^2 + 60 Add - 32x + 4 from both sides.
0 = 4x^2 + 60 - 32x + 4 Collect like terms.
0 = 4x^2 - 32x + 64
Step Two
For this question, you could divide both sides by 4. It just makes the steps later on easier.
0 = x^2 - 8x + 16
Step Three
Calculate the discriminate.
The discriminate is b^2 - 4*a*c
a = 1; b = -8; c = 16
b^2 - 4*a*c = (-8)^2 - 4*(1)(16) = 64 - 64 = 0
There is only 1 root. It is real and it is rational.
A <<<<< Answer
Answer:
8:6 and 16:12
Step-by-step explanation:
Answer:
(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23
Step-by-step explanation:
Given :
n(American) = 29
n(Chinese) = 16
n(Mexican) = 19
n(Italian) = 28
Expected value = (29 + 16 + 19 + 28) / 4
Where, 4 = sample size
Expected value, E = 23
χ² = (Observed value - Expected value)² / expected value
χ² = (29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23
The answer is x=2 i hope this helps !!