<u>Equivalent Fractions 1/2</u>
2/4
3/6
4/8
5/10
6/12
<u>Equivalent Fractions 1/4</u>
2/8
3/12
4/16
5/20
6/24
<u>Equivalent Fractions 1/8</u>
2/16
3/24
4/32
5/40
6/48
<u>Equivalent Fractions 1/3</u>
2/6
3/9
4/12
5/15
6/18
<u>Equivalent Fractions 1/6</u>
2/12
3/18
4/24
5/30
6/36
Answer:
x= 3
Step-by-step explanation:
19x-5=7+15x
19x-15x=7+5
4x=12
x=12/4
x=3
C bc i am a professor at Yale and it is simplistic............................................................... <span />
No, a closed circle does include that number.
Closed circles are used for greater than or equal to or less than or equal to
Open circles are only used for greater than or less than
Move the -5 over by adding 5 to both sides
3x^2+4x+5=0
must use quadratic formula
for an equation in the form
ax^2+bx+c=0
x=
![\frac{-b+/- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
a=3
b=4
c=5
x=
![\frac{-4+/- \sqrt{4^2-4(3)(5)} }{2(3)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%20%5Csqrt%7B4%5E2-4%283%29%285%29%7D%20%7D%7B2%283%29%7D%20)
x=
![\frac{-4+/- \sqrt{16-60} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%20%5Csqrt%7B16-60%7D%20%7D%7B6%7D%20)
x=
![\frac{-4+/- \sqrt{-44} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%20%5Csqrt%7B-44%7D%20%7D%7B6%7D%20)
x=
![\frac{-4+/- 2\sqrt{-11} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%202%5Csqrt%7B-11%7D%20%7D%7B6%7D%20)
remember that√-1=i
x=
![\frac{-4+/- 2i\sqrt{-11} }{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%2B%2F-%202i%5Csqrt%7B-11%7D%20%7D%7B6%7D%20)
x=
![\frac{-2+/- i\sqrt{-11} }{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2%2B%2F-%20i%5Csqrt%7B-11%7D%20%7D%7B3%7D%20)
x=
![\frac{-2+ i\sqrt{-11} }{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2%2B%20i%5Csqrt%7B-11%7D%20%7D%7B3%7D%20)
or x=