A: Slope-intercept form: y = 2 x − 1 Point-slope form: y − 7 = 2 ⋅ ( x − 4 )
B: Slope-intercept form: y = 4 x + 7 Point-slope form: y + 1 = 4 ⋅ ( x + 2 )
C: Slope-intercept form: y = 1/2 x − 8 Point-slope form: y + 4 = 1/2 ⋅ ( x − 8 )
For many years, organized crime ran a numbers game that is now run legally by many state governments. the player selects a three digit number from 000 to 999. there are 1000 such numbers. a bet of $1 is placed on a number, say number 115. if the number is selected, the player wins $500. if any other number is selected, the player wins nothing. find the expected value for this game and describe what it means
Answer : 140
140 times 40% = 65 so the answer is 140
Looking at the graph you can see that the domain of the function is:
[0, 3.85]
To find the range of the function, we must follow the following steps:
Step 1)
Evaluate for t = 0
h (0) = - 4.87 (0) ^ 2 + 18.75 (0)
h (0) = 0
Step 2)
find the maximum of the function:
h (t) = - 4.87t ^ 2 + 18.75t
h '(t) = - 9.74 * t + 18.75
-9.74 * t + 18.75 = 0
t = 18.75 / 9.74
t = 1.925051335
We evaluate the function at its maximum point:
h (1.925051335) = - 4.87 * (1.925051335) ^ 2 + 18.75 * (1.925051335)
h (1.93) = 18.05
The range of the function is:
[0, 18.05]
Answer:
Domain: [0, 3.85]
Range: [0, 18.05]
option 1
Answer:
Solution given:
x^3 - 2x^2 -x+2
take common from two each term
x²(x-2)-1(x-2)
take common again and keep left one on other bracket
<u>(x-2)(x²-1) or (x-1)(x+1)(x-2)</u> is a required answer.
note:using formula a²-b²=(a+b)(a-b) for x²-1.
