Answer:
x = 2 or 1/4
Step-by-step explanation:
-13/4 -x= 1/2x -1
Collect like terms
-13/4+1=1/2x+x
Using LCM
(-13+4)/4=(1+2x²)/2x
9/4=(1+2x²)/2x
Cross multiply
9(2x)=4(1+2x²)
18x=4+8x²
Turn into quadratic and solve
8x²-18x+4
Using formulae method
-b±(√b²-4ac)/2a
Where a=8, b= -18 and c=4
(-(-18)±(√(-18)²-4(8)(4))/2(8)
(18±(√324-128))/16
(18±√196)/16
(18±14)/16
(18+14)/16 or (18-14)/16
32/16 or 4/16
2 or 1/4
Answer:
Ratio of Non Fiction : Fiction books = 7 : 6
Step-by-step explanation:
Total number of books checked out = 52
Number of fiction books checked out = 24
So, number of non fiction books = Total books - number of fiction books
Or, number of non fiction = 52 - 24 = 28 books
Now, ratio of Non Fiction : Fiction books = 28 : 24
Solving the ratio term in its lowest form, we get
The Ratio of Non Fiction : Fiction books = 7 : 6
<em><u>The solution is (4, 4)</u></em>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
Make the right side of equation 0
<em><u>Solve by quadratic equation</u></em>
<em><u>Substitute x = 4 in eqn 2</u></em>
y = 2(4) - 4
y = 8 - 4
y = 4
Thus solution is (4, 4)
GCF(24, 30, 42) = 6 I think it is.