F(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2
The answer is D.
Answer: x = 11
Step-by-step explanation:
Complementary angles = 90*
Set the two equations equal to 90. Solve
4x + 6 + 4x - 4 = 90
8x +2 = 90
8x = 88
x = 11
Plug it in to see if it makes equation true
4 (11) + 6 + 4 (11) - 4 = 90
44 + 6 + 44 - 4 = 90
50 + 40 = 90
90 = 90
Answer: The 90% confidence interval for the population mean μ is between 82.85 and 85.15,
Step-by-step explanation:
When population standard deviation is not given ,The confidence interval population proportion is given by (
):-
, where n= Sample size.
s= Sample standard deviation
= sample mean
t* = Critical t-value (Two-tailed)
As per given , we have
n= 64
Degree of freedom : df = n-1=63
s= 5.5
Significance level : 
Two-tailed T-value for df = 63 and
would be
(By t-distribution table)
i.e. t*= 1.669
The 90% confidence interval for the population mean μ would be

∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,
Answer:

Step-by-step explanation:
The given equation is
.
We need to find the solution of the above equation.
The solution of an equation
is :

We have, a = 1, b = 3 and c = 4

So, the solution of the given equation is
.
It would be 7lbs, you divide the total amount by the amount per pound and you get the weight.