Answer:
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
Step-by-step explanation:
Let the number of
Fiction books = x
Non fiction books = y
The libary has 4,000 books in total.
Hence: x + y = 4000........ Equation 1
The number of fiction books in a libary is %150 of the number of non-fiction books.
x = 150% of y
x = 150/100 × y
x = 1.5y
We substitute 1.5y for x in Equation 1
x + y = 4000
1.5y + y = 4000
2.5y = 4000
y = 4000/2.5
y = 1600 non fiction books
Solving for x
x = 1.5y
x = 1.5 × 1600
x = 2400 fiction books.
Therefore,
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
Answer:
the answer is 3×3×5×5×17=3825 use prime factorization
Y=a(x-h)^2+k
vertex form is basically completing the square
what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway
y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13
vertex form is
y=2(x+6)^2+13
Answer:
2/3
Step-by-step explanation:
17/21-1/7
17/21-3/21
14/21=2/3
Answer:12
Step-by-step explanation:
And it will be 2 left over
