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2 years ago

What is the equation to the quadratic function that has zeros at -6 and 16?

Mathematics

1 answer:

ollegr [7]2 years ago

7 0

Answer:

x^2 -10x -96 =0

Step-by-step explanation:

Subtract the zeros from x in factors

(x - -6) (x-16)

(x+6) (x-16)

Set these equal to zero since they are zeros

(x+6) (x-16) =0

FOIL

x^2 -16x+6x -96 =0

x^2 -10x -96 =0

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2 years ago

two leaky containers are filling with water. water enters container a at a rate of 2/3 cup per 1/2 minute and leaks out at a rat

kipiarov [429]

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<u>Step-by-step explanation:</u>

Here we have , two leaky containers are filling with water. water enters container a at a rate of 2/3 cup per 1/2 minute and leaks out at a rate of 1/4 cup per 3/4 minute. water enters container b at a rate of 3/4 cup per 1/2 minute and leaks out at a rate of 1/2 cup per 3/4 minute. We need to find which container needs to be filled faster in order for both containers to gain the same amount of water per minute . Let's find out:

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Rate of leaking Container A:

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⇒ $\frac{\frac{3}{4} }{\frac{1}{2} }$

⇒ $\frac{3}{4} (\frac{2}{1}) = \frac{3}{2}$

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⇒ $\frac{\frac{1}{2} }{\frac{3}{4} }$

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Since , Rate of water per minute in container A is 1 and , Rate of water per minute in container B is 5/6 , container A fills faster by container B by

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Therefore , container B needs to be filled faster in order for both containers to gain the same amount of water per minute , and by 1/6 water per minute .

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2 years ago

8 BASIC LEVEL 1. On weekends, a movie ticket costs $10.50. Form an inequality and solve it to find the maximum number of tickets

Brrunno [24]

Answer:

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Step-by-step explanation:

Given,

The cost of one ticket = $ 10.50,

The cost of x tickets = 10.50x dollars,

Since, the total cost can not exceed $ 205,

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∵ 10.50 > 0 thus, when we multiply both sides by 1/10.50 the inequality sign will not change,

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