The area of the outer square = (x+5)² = x² + 10x + 25
The area of the inner square = (x-2)² = x² - 4x + 4
The area of the shaded region = (x² + 10x + 25) - (x² - 4x + 4)
= x² + 10x + 25 - x² + 4x - 4
= 14x + 21 square units
Answer:
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.314
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 34.6 - 0.646 = $33.954
The upper end of the interval is the sample mean added to M. So it is 34.6 + 0.646 = $35.246
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
ANSWER
(–4.5, 4.25)
EXPLANATION
The first equation is

This function is in the slope-intercept form
The second equation is:
x + 2y = 4
2y =-x+ 4

The graph of the two functions are shown in the attachment.
The point of intersection represents the solution to the system of equations they represent.
The solution is
(–4.5, 4.25)
Answer:
y^4
Step-by-step explanation:
2y^10, 5y^4, 6y^5
We first need to find the factors of each term
2y^10 = 2*yyyyyyyyyy
5y^4 = 5yyyy
6y^5 = 3*2 yyyyy
The greatest common factor is the largest term that appears in all the terms
The greatest common factor is yyyy = y^4