Answer:
y = -2x^2 -4x +1
Step-by-step explanation:
y-3 = -2 (x+1)^2
Foil (x+1)^2
(x+1)(x+1) = x^2 +x+x+1 = x^2 +2x+1
Substitute this back in
y-3 = -2(x^2 +2x+1)
Distribute
y-3 = -2x^2 -4x -2
Add 3 to each side
y-3+3 = -2x^2 -4x -2+3
y = -2x^2 -4x +1
Answer:
3,786
Step-by-step explanation:
Answer:
v0 + 1/2at
Step-by-step explanation: Given that the distance a race car travels is given by the equation d = v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled.
The equation for the driver's average speed s during the acceleration will be:
(v0t+12at2) / t
Since Average speed is equal to distance divided by time.
Therefore, the equation will be:
v0+1/2at
Answer:
24/30
Step-by-step explanation:
The answer to 8a. is 17, the answer to 8b. is 3.9, the answer to 8c. is 1 / 2, the answer to 8d. is 7 7 / 8, the answer to 9a. is commutative property, the answer to 9b. is multiplicative identity property, the answer to 9c. is associative property, and the answer to 9d. is additive inverse property.
Regarding the whole "explain using mental math" thing, I pretty much just used the fact that 8a. and 8b. both had the same number of decimal places. For 8c., I just made each number have a denominator of 10. And last, for 8d., all of the denominators were already the same, which made it pretty easy. I apologize for this section of my answer being so informal lol, I haven't had to do these kinds of problems in like 5 years <span />
