B=books
Sold half of book: b/2
Bought six more: b/2+
Now has 12: b/2+6=12
Subtract 6 on both sides: b/2+6-6=12-6
b/2=6
Multiply both sides by 2: b=12
Answer= 12 books
In this question, you have given the table length (7. 1/2 feet) and the table maximal area (46 7/8 square feet). The question is about whether Julia buys a table greater than 6ft wide, in other words, we need to determine the table maximum width. The equation from this problem can be written as:
Table max area = 46 7/8 ft
Table length= 7 1/2 ft
Using area formula, the calculation for maximal width would be:
length * max width = max area
7 1/2 ft * max width = 46 7/8 ft
max width = 46.875/ 7.5 = 6.25ft
The answer to this question would be yes, she can buy a table with more than 6 ft width. But it should not more than 6.25ft width
45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)
Answer:for ax^2+bx+c=0 the discriminant is b^2-4ac
there are 3 basic cases of what happens for different discriminants
1. if the discriminant is less than 0, then there are no real zeroes
2. if the discriminant is 0, then it has 1 zero
3. if the discriminant is greater than 0, it has 2 zeroes
so given
0=3x^2-7x+4
a=3,b=-7,c=4
thus the discriminant is (-7)^2-4(3)(4)=49-48=1
the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0
the answer is the equation has two zeroes because the discriminant is greater than 0
Step-by-step explanation:
