Answer:
(- 4, - 2 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3x - 6 → (1)
y = x + 2 → (2)
Substitute y = x² + 3x - 6 into (2)
x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
C.) because 2/3=.666 then .666/2 = .333 so .333 times 6/5 equals .4 which is the same as 2/5.
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the <em>opposite operation </em>in order to find the answer.)
Therefore, 53 is the amount of gallons of fuel needed.
Answer:
0.55
Step-by-step explanation:
The right-hand column of the table gives us the probabilities of the probability function. We know from elementary probability theory that the "probability" of any event(s) happening would be from 0 to 1 inclusive.
The total probability of all events would add up to 1. So, we look at the probabilities given for each even, x, and add them:
0.29 + 0.09 + 0.03 + 0.04 = 0.45
All of these probabilities and the probability at x = 2 (the unknown) would add up to 1, so we can say:
0.45 + probability (x = 2) = 1
Probability at x = 2 = 1 - 0.45 = 0.55
