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mariarad [96]
3 years ago
5

Solve the inequality -8 - 1/3n < -25

Mathematics
1 answer:
Mumz [18]3 years ago
8 0
Isolate the variable:

Add -8 on both sides then you’ll have

- 1/3n < -17

Divide -1/3 on both sides or multiply -3 on both sides:

n < 51

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<img src="https://tex.z-dn.net/?f=y%20%3D%20x%20%7B%7D%5E%7B2%7D%20-%209x%20%2B%2014" id="TexFormula1" title="y = x {}^{2} - 9x
svetoff [14.1K]

Answer:

a = - \frac{9}{2} , b = - \frac{25}{4}

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- \frac{9}{2} )x + \frac{81}{4} - \frac{81}{4} + 14

  = (x - \frac{9}{2} )² - \frac{81}{4} + \frac{56}{4}

  = (x - \frac{9}{2} )²- \frac{25}{4} ← in the form (x + a)² + b

with a = - \frac{9}{2} and b = - \frac{25}{4}

8 0
3 years ago
Read 2 more answers
Sam can rent a canoe for $3 an hour. If he rents the canoe, he would also have to pay $15 for a non-refundable deposit. He has $
Nikitich [7]
So, We Need To Write An Equation. Lets Make Some Variables.
Max Amount He Can Spend: X
Max Amount Of Hours: H
Cost Per hour: P
Deposit : D
So, Lets Start.
We Can Write:
H = (X - D) / P
Now, Just Plug In The Known Values.
H = (30 - 15) / 3
That Is Our Equation.

Now, Just For Fun, I Will Solve It.
So, We Need To Simplify.
30 - 15 = 15.
So, We Have:
H = 15/3
So, We Know:
15/3 = 5.
So, We Can Substitute 5 for 15/3.
We Get:
H = 5
So, He Can Canoe For 5 Hours.  
8 0
3 years ago
What's the answer for those two questions and explain how you get that answer
swat32
B. and D. For the both I'm most likely sure
3 0
3 years ago
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Sally makes 3 quarts of punch. How much punch is that in pints?
notsponge [240]

Answer:

6 pints

Step-by-step explanation:

8 0
2 years ago
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What property allows 3=x to be written as x=3
borishaifa [10]
It's the same thing, the different is depends in which side was x
5 0
3 years ago
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