9514 1404 393
Answer:
y = 9x^2 -8x +9
Step-by-step explanation:
The given equation has derivative ...
y' = 2ax +b
The requirements on slope give rise to two equations:
2a(1) +b = 10
2a(-1) +b = -26
Adding these equations together gives ...
2b = -16 ⇒ b = -8
Then we have ...
2a -8 = 10
a = (10 +8)/2 = 9
__
The given point lets us find the constant term c.
y = 9x^2 -8x +c
c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9
The equation of the parabola is ...
y = 9x^2 -8x +9
11.-1+4.3+-2.8
-11+12-16
-15
I think
A. turn all fractions into decimals or all decimals into fractions; I've decided to turn all fractions into decimals
525
------- = 0.525
1000
3
-- = 0.75 = 0.750 ~ (add a zero at the end to make the decimal places 4 equal with 0.525)
0.55 = 0.55 = 0.550 ~<span>(add a zero at the end to make the decimal places equal with 0.525 and 0.750)
</span>
<span> Answer to Problem 'a':</span>
Smallest = 0.525 = 525
-------
1000
Middle = 0.550 = 0.55
Largest = 0.750 = 3
--
4
b. <span>turn all fractions/mixed fractions into decimals or all decimals into fractions; I've decided to turn all fractions/mixed fractions into decimals
</span>
3.805 = 3.805
3.85 = 3.850 ~ ( <span>add a zero at the end to make the decimal places equal with 3.805)
</span>
3 4/5 = 80
----- = 0.80 =0.800 ~ (add a zero at the end to make the decimal
100 places equal with 3.805 and 3.850)
Answers to Problem 'b':
Smallest = 0.800 = 0.80 = 3 4/5
Middle = 3.805 = 3.805
Largest = 3.850 = 3.85
Answer:
16 + 8b ≥ 50
4500
Step-by-step explanation:
He needs at least 50 rooms and has already reserved 16
They are in groups of 8
16 + 8b ≥ 50
Subtract 16 from each side
16+8b-16 ≥ 50 -16
8b≥ 34
Divide by 6
8b/8 ≥ 34/8
b≥ 4.25
We need to round up since we need at least 50
b = 5 since we want the least amount of rooms
Each block is 900
5*900 = 4500 more that he will have to spend
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