Answer:
53. ±6
51. 2
Step-by-step explanation:
According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, evaluate everything in grouping symbols first, then evaluate the exponents to avoid confusion:

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Subtract 10x
10x + y = -19
10x + 3y = -17
You would get:
-2y = -2
Two negatives make a positive number! Divide
y = 1
Plug in
10x + (1) = -19
10x = -20
Divide
x = -2
Your solutions are
x = -2
y = 1
Answer:
a) TRUE
b) FALSE
c) FALSE
d) TRUE
e) FALSE
Step-by-step explanation:
a)
TRUE because the slope of the correlation line is 2 and this is the rate of change of y respect to x
b)
FALSE
The correlation coefficient r is always between -1 and 1, so it can never be greater than one
c)
FALSE
A student might expect that there is a positive correlation between the age of their laptop and its resale value only if after collecting a large enough sample of data that relates age of the student and price of resale of their laptop, he or she finds that there is a positive correlation coefficient r>0
d)
TRUE
If there is a positive correlation, then the greater the x, the greater the y
e)
FALSE
If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be 0.
Add whole numbers: 2 + 6 + 8 = 16
Add fractions:
= 1/3 + 3/4 + 1/2
= (8 + 18 + 12) ÷ 24
= 38/24 or 1 14/24 or simplified to 1 7/12
Total surface area = 16 + 1 7/12 or 17 7/12
To find the average number of books donated per month, we first get the total number of books that Eric has donated within the span of (8 - 3) = 5 months.
Since from 157 books, there were only 102 books left after 5 months, that means he has donated (157 - 102) = 55 books.
That means that he has donated 55 books within the span of 5 monhs. Thus, the average number of books would be equal to (number of books) / (number of months) = 55 / 5 = 11 books per month.
<span>Answer: 11 books</span>