Answer: D
Step-by-step explanation:
Consider the first equation. Subtract 3x from both sides.
y−3x=−2
Consider the second equation. Subtract x from both sides.
y−2−x=0
Add 2 to both sides. Anything plus zero gives itself.
y−x=2
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y−3x=−2,y−x=2
Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.
y−3x=−2
Add 3x to both sides of the equation.
y=3x−2
Substitute 3x−2 for y in the other equation, y−x=2.
3x−2−x=2
Add 3x to −x.
2x−2=2
Add 2 to both sides of the equation.
2x=4
Divide both sides by 2.
x=2
Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.
y=3×2−2
Multiply 3 times 2.
y=6−2
Add −2 to 6.
y=4
The system is now solved.
y=4,x=2
I don't like fractions, so I would turn 8/14 into a decimal.
Do 8 divided by 14 and you'll get .57
Now 8 + 0.57 = 8.57
The fraction form would be 60/7 and the mixed form would be 8 4/7
Answer:
P(A) = 3/10
P(B) = 7/30
P(A and B) = 2/15
P(A/B) = 4/7
No P(A/B) ≠ P(A)
No, events A and B are not independent events.
The answer is 3x^2 + 6x + 4 (the second one)
Let's start by removing the parenthesis to get 6x + 7 + x^2 + 2x^2 - 3
Then, let's combine like terms (terms with the same variable and exponent) to get 3x^2 + 6x + 4
This is an answer in the multiple choice, so the answer is 3x^2 + 6x + 4 (the second one)