Answer:
(x² + 4x + 2)(2x² + 3x - 4) equals 2x⁴ + 11x³ + 12x² - 10x - 8
Step-by-step explanation:
<em>(x² + 4x + 2)(2x² + 3x - 4)</em>
Multiply each term in the first parentheses into the expression in the second parentheses.
<em>2x⁴ + 3x³ - 4x² + 8x³ + 12x² - 16x + 4x² + 6x - 8</em>
Combine like terms.
<em>2x⁴ + 11x³ + 12x² - 10x - 8</em>
So, your answer would be letter choice B.
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Do (6x12)/2, that should work
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean given
represent the population standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

In this problem, we have that:
- We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
- There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.
The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

We can find a <u>as a function of x</u> to find the percentage:





Then, the percentage is:




75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.
You can learn more about the percentage concept at brainly.com/question/10491646
Answer:
1. slope= 2/9
2. y intercept=-3
3. the line is increasing
Step-by-step explanation: