Answer:
x=-2
y=4
Step-by-step explanation:
find y intercept let x=0
y=2(0)+4
y=4
find x intercept let y=0
0=2x+4
-4=2x
x=-2
Answer:
D
Step-by-step explanation:
Consider all options:
A. False, because
![(a^2+b^2)(c^2+d^2)=a^2c^2+a^2d^2+b^2c^2+b^2d^2\\ \\(ab-cd)^2+(ac+bd)^2=a^2b^2-2abcd+c^2d^2+a^2c^2+2abcd+b^2d^2=\\ =a^2b^2+c^2d^2+a^2c^2+b^2d^2\\ \\a^2c^2+a^2d^2+b^2c^2+b^2d^2\neq a^2b^2+c^2d^2+a^2c^2+b^2d^2](https://tex.z-dn.net/?f=%28a%5E2%2Bb%5E2%29%28c%5E2%2Bd%5E2%29%3Da%5E2c%5E2%2Ba%5E2d%5E2%2Bb%5E2c%5E2%2Bb%5E2d%5E2%5C%5C%20%5C%5C%28ab-cd%29%5E2%2B%28ac%2Bbd%29%5E2%3Da%5E2b%5E2-2abcd%2Bc%5E2d%5E2%2Ba%5E2c%5E2%2B2abcd%2Bb%5E2d%5E2%3D%5C%5C%20%3Da%5E2b%5E2%2Bc%5E2d%5E2%2Ba%5E2c%5E2%2Bb%5E2d%5E2%5C%5C%20%5C%5Ca%5E2c%5E2%2Ba%5E2d%5E2%2Bb%5E2c%5E2%2Bb%5E2d%5E2%5Cneq%20a%5E2b%5E2%2Bc%5E2d%5E2%2Ba%5E2c%5E2%2Bb%5E2d%5E2)
B. False, because
![(a^2-b^2)(c^2+d^2)=a^2c^2+a^2d^2-b^2c^2-b^2d^2\\ \\(ac-bd)^2-(ad+bc)^2=a^2c^2-2abcd+b^2d^2+a^2d^2+2abcd+b^2c^2=\\=a^2c^2+b^2d^2+a^2d^2+b^2c^2\\ \\a^2c^2+a^2d^2-b^2c^2-b^2d^2\neq a^2c^2+b^2d^2+a^2d^2+b^2c^2](https://tex.z-dn.net/?f=%28a%5E2-b%5E2%29%28c%5E2%2Bd%5E2%29%3Da%5E2c%5E2%2Ba%5E2d%5E2-b%5E2c%5E2-b%5E2d%5E2%5C%5C%20%5C%5C%28ac-bd%29%5E2-%28ad%2Bbc%29%5E2%3Da%5E2c%5E2-2abcd%2Bb%5E2d%5E2%2Ba%5E2d%5E2%2B2abcd%2Bb%5E2c%5E2%3D%5C%5C%3Da%5E2c%5E2%2Bb%5E2d%5E2%2Ba%5E2d%5E2%2Bb%5E2c%5E2%5C%5C%20%5C%5Ca%5E2c%5E2%2Ba%5E2d%5E2-b%5E2c%5E2-b%5E2d%5E2%5Cneq%20a%5E2c%5E2%2Bb%5E2d%5E2%2Ba%5E2d%5E2%2Bb%5E2c%5E2)
C. False, because
![(a^2+b^2)(c^2-d^2)=a^2c^2-a^2d^2+b^2c^2-b^2d^2\\ \\(ac+bd)^2-(ad+bc)^2=a^2c^2+2abcd+b^2d^2-a^2d^2-2abcd-b^2c^2=\\=a^2c^2+b^2d^2-a^2d^2-b^2c^2\\ \\a^2c^2-a^2d^2+b^2c^2-b^2d^2\neq a^2c^2+b^2d^2-a^2d^2-b^2c^2](https://tex.z-dn.net/?f=%28a%5E2%2Bb%5E2%29%28c%5E2-d%5E2%29%3Da%5E2c%5E2-a%5E2d%5E2%2Bb%5E2c%5E2-b%5E2d%5E2%5C%5C%20%5C%5C%28ac%2Bbd%29%5E2-%28ad%2Bbc%29%5E2%3Da%5E2c%5E2%2B2abcd%2Bb%5E2d%5E2-a%5E2d%5E2-2abcd-b%5E2c%5E2%3D%5C%5C%3Da%5E2c%5E2%2Bb%5E2d%5E2-a%5E2d%5E2-b%5E2c%5E2%5C%5C%20%5C%5Ca%5E2c%5E2-a%5E2d%5E2%2Bb%5E2c%5E2-b%5E2d%5E2%5Cneq%20a%5E2c%5E2%2Bb%5E2d%5E2-a%5E2d%5E2-b%5E2c%5E2)
D. True, because
![(a^2+b^2)(c^2+d^2)=a^2c^2+a^2d^2+b^2c^2+b^2d^2\\ \\(ac-bd)^2-(ad+bc)^2=a^2c^2-2abcd+b^2d^2+a^2d^2+2abcd+b^2c^2=\\=a^2c^2+b^2d^2+a^2d^2+b^2c^2\\ \\a^2c^2+a^2d^2+b^2c^2+b^2d^2= a^2c^2+b^2d^2+a^2d^2+b^2c^2](https://tex.z-dn.net/?f=%28a%5E2%2Bb%5E2%29%28c%5E2%2Bd%5E2%29%3Da%5E2c%5E2%2Ba%5E2d%5E2%2Bb%5E2c%5E2%2Bb%5E2d%5E2%5C%5C%20%5C%5C%28ac-bd%29%5E2-%28ad%2Bbc%29%5E2%3Da%5E2c%5E2-2abcd%2Bb%5E2d%5E2%2Ba%5E2d%5E2%2B2abcd%2Bb%5E2c%5E2%3D%5C%5C%3Da%5E2c%5E2%2Bb%5E2d%5E2%2Ba%5E2d%5E2%2Bb%5E2c%5E2%5C%5C%20%5C%5Ca%5E2c%5E2%2Ba%5E2d%5E2%2Bb%5E2c%5E2%2Bb%5E2d%5E2%3D%20a%5E2c%5E2%2Bb%5E2d%5E2%2Ba%5E2d%5E2%2Bb%5E2c%5E2)
Step-by-step explanation:
Each roll has 6 possible outcomes, so two rolls have 36 possible sums. We can make a table showing what these sums are:
![\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccccc%7D%26%5Ctextbf%7B1%7D%26%5Ctextbf%7B2%7D%26%5Ctextbf%7B3%7D%26%5Ctextbf%7B4%7D%26%5Ctextbf%7B5%7D%26%5Ctextbf%7B6%7D%5C%5C%5Ctextbf%7B1%7D%262%263%264%265%266%267%5C%5C%5Ctextbf%7B2%7D%263%264%265%266%267%268%5C%5C%5Ctextbf%7B3%7D%264%265%266%267%268%269%5C%5C%5Ctextbf%7B4%7D%265%266%267%268%269%2610%5C%5C%5Ctextbf%7B5%7D%266%267%268%269%2610%2611%5C%5C%5Ctextbf%7B6%7D%267%268%269%2610%2611%2612%5Cend%7Barray%7D%5Cright%5D)
Of the 36 sums, 10 are greater than 8, and 18 are odd.
P(A) = 10/36 = 5/18
P(B) = 18/36 = 1/2
Answer:
the correct answer is b) 3-5/x