Answer:
f(g (x))= 32x-18
g (f (x))=32x2+42
Step-by-step explanation:
f (g (x))= 4 (8x-6)+6
32x-24-6
32x-18
g (f (x))= 8(4x2+6)-6
32x2+48-6
32x2+42
Answer:
Yes, There is significant difference.
Step-by-step explanation:
Null Hypothesis , H0 : Mean income = 15000
Alternate Hypothesis , H1 : Mean income ≠ 15000
t = (x - u) / ( s / √n)
x = sample mean = 14500 here, u = population mean = 15000 here , s = standard deviation = 975 here , n = sample size
t = (14500 - 15000) / (975 / √169)
-500 / 75 = - 6.66
As calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠ 15000'
Answer:
x = 5
Step-by-step explanation:
x² + (2x+2)² = (2x+3)²
x² + 4x² + 8x + 4 = 4x² + 12x + 9
x² - 4x - 5 = 0
(x - 5)(x + 1) = 0
x = -1 This can be discounted as the answer because you cannot have a negative length
answer: x = 5
Answer:
Thanks :)
Step-by-step explanation:
Answer: Amount that the Smith family need to pay for the meal including tax and tip = 53.47.
Step-by-step explanation:
Since we have given that
Price of the meal = 43.45
Rate of sales tax = 7%
Amount becomes after the sales tax is given by
Rate of tips over meal and sales = 15%
Amount of tips is given by
So, Amount becomes
Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.
