Answer: 4x² + x - 2
Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²
Now let's work on the second part:
Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals
12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:
4x² + x - 2.
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
Because QRST is a rectangle, that means all of the angles must be a right angle, which are 90 degrees. Using this information, solve the expression by creating an equation that lets angle S = 90.
90 = 7x + 55
35 = 7x
x = 5
<h2>
Answer with explanation:</h2>
Confidence interval for mean, when population standard deviation is unknown:
, where 
= sample mean
n= sample size
s= sample standard deviation
= Critical t-value for n-1 degrees of freedom
We assume the population has a normal distribution.
Given, n= 19 , s= 3.8 , 
A) Critical t value for 
and degree of 18 freedom
= 2.8784
B) Required confidence interval:
Lower bound = 19.9 years
Uppen bound = 24.9 years
C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .
I would say that 300 people attended.
