We have system:
y=2x+1
y=2x^2+1
To find which ordered pair is solution to this system we need to solve system for x and y.
Left sides are same so the right sides must be same too.
2x+1=2x^2+1
2x-2x^2+1-1=0
2x-2x^2=0
2x(1-x)=0
x1=0
x2=1
y1=2*0+1=1
y2=2*1+1=3
The solution are pairs (0,1) and (1,3).
The answer of your first question is the part (C)
The answer of your second question is also part (C)
The answer of your third question is part (b)
Considering the median, the missing value of the data-set is of 31.
<h3>What is the median of a data-set?</h3>
The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
In this problem, since the set has even cardinality, the median is the mean of the middle elements, which are 23 and x. Since it is of 27, we have that:
(23 + x)/2 = 27
23 + x = 54
x = 31
Hence, the missing value of the data-set is of 31.
More can be learned about the median of a data-set at brainly.com/question/24732674
Answer:
20 books
Step-by-step explanation:
given that the shelf can hold 25 1/2 lbs (i.e 25.5 lbs), and that each book weighs 1 1/4 ln (i.e 1.25 lbs)
number of books which the shelf can hold
= weight that the shelf can hold ÷ weight of each book
= 25.5 ÷ 1.25
= 20.4 books
because having 0.4 of a book (i.e part of a book) would not be very feasable, we have to round the number of books down to the nearest whole number)
20.4 books rounded down to nearest whole number = 20 books (answer)
Y-y1=m(x-x1)
does this help or do you need help plugging in and finding slope?
