Answer:
y = 5x2 + 10x - 15
We want this in format y = a(x-h)2 + k
where the vertex will be at (h,k)
y = 5(x2+2x) - 15
Complete the square on x2+2x
y = 5(x2+2x+1) - 15 - 5
We subtract 5 at the end because we are actually adding 5(1) = 5
so we need to remove it also to keep the total equal
y = 5(x+1)2 - 20
The vertex is at (-1,-20)
Answer:
No
Step-by-step explanation:
2/13=0.15384615
So Maurice would have 2N nickels
Total number of coins is N + 2N + 9 = 3N + 9
Each nickel is 5 pennies
3N of nickels = 15N pennies
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Their worth is 84 cents
15N + 9 = 84
15N = 75
N = 75/15 = 5
N = 5
This means Nina has 5 nickels.
95x=85x+288
You could add 288 to any side, it just shows that they're 288 miles apart.
Let's subtract 85x from both sides.
10x=288
28.8=x
It'll take 28.8 hours for the trains to meet. Let's make sure.
28.8×95
2,736
28.8×85
2,448
2,736-2,448
288
So, they'll meet up after 28.8 miles.
