Answer:
x = 6
Step-by-step explanation:
Find the equation of the line
y = mx + b
Use the slope given 3 and the x of 4 and the y of 11 from the point given (4,11)
11 = 3(4) +b Solve for y
11 = 12 + b Subtract 12 from both sides
-1 = b
y = 3x -1 This is the equation of the line. Substitute in 17 for y and solve for x
17 = 3x -1 Add 1 to both sides
18 = 3x Divide both sides by 3
6 = x
Answer:
B² - 4AC < 0
Step-by-step explanation:
Check for:
B² - 4AC
The equations for which
B² - 4AC < 0
have complex roots
For A, B and C, use this form of the quadratic:
Ax² + Bx + C = 0
Yes because when you have y = -3x²-7x -6 it is just the same as f(x) = -3x² -7x - 6
Answer:
0.4%
Step-by-step explanation:
In this case, because the coins have been replaced, the final probability would be multiplying the same probability six times (or raising it to exponent 6.). In other words, the probability of a dime coming out.
This probability would be the amount of dimes divided by the total number of coins, as follows:
Total coins = 10 + 8 + 2 = 20 coins.
So the probability would be: 8/20 = 2/5
The final probability would then be:
(2/5) ^ 6 = 0.004
In other words, the probability of this event occurring 6 times in a row is 0.4%
When functions are defined by more than one equation, they are called piecewise- defined functions.
Hope that helped
