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Bess [88]
3 years ago
6

I need help with these three problems (college algebra)

Mathematics
2 answers:
Paraphin [41]3 years ago
8 0

5. After 6 hours, the concentration is halved. After 12 hours, it will be quartered. If the original concentration is 200 nmol, a quarter is 50 nmol.

14. The population doubles after 3 hours, and a day is 24 hours. That means that the original population should be multiplied by 2^{24/3}, or 2^8. 3 million times 2^8 is 3 * 256 million, or 768 million.

15. The concentration is halved every 8 hours and the original concentration is 100 nmol. So now, how many times do you halve 100 to get to 12.5?

100/2 = 50, 50/2 = 25, 25/2 = 12.5. That's three times. 3 * 8 is 24 hours, or 1 day.

Igoryamba3 years ago
8 0

Answer:

5 50 nmols

14d 768 million

15 a 1 day

Step-by-step explanation:

5. We can use ratios to solve this

At 6 hours there is 100 nmols in the system

For each 6 hours, we decrease by 1/2

As 12 hours  there will be 1/2 of this amount in the in the system so 1/2(100) = 50 nmols

14. 0 hour = 3 million

We double every 3 hour

3 hour = 2*3million = 6 million

6 hours = 2*6 million = 12 million

9 hours = 2*12 million = 24 million

12 hours = 2*24 =48 million

15 hours = 2*48 = 96 million

18 hour = 2*96 = 192 million

21 hour  = 2 * 192 =384 million

24 hour = 1 day = 2 *384 = 768 million

15   0 hours = 200 mg = 100 nmols

We divide by 2 every 8 hour

      8 hour                        50 nmols

    16 hours                        25 nmols

     24 hours  =1 day           12.5 nmol

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2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
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3 years ago
The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?
tester [92]
<h2><u>AnswEr :</u> </h2>

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

\sf \:  {6x}^{2}  - 9x - 15 \\  \\  \leadsto \:  \sf \:  3\bigg( {2x}^{2}  - 3x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg( {2x}^{2}  - 5x + 2x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)

Length of the rectangle is 2x - 5

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\leadsto \:  \sf \: (2x - 5)(3x + 3)

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Step-by-step explanation:

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3 years ago
If f(x)=×^2+7x-5 and you divide by x-2, What is the quotient and remainder?
katrin [286]

Answer:

The quotient is : x+9

The remainder is : 13

Step-by-step explanation:

The question requires you to perform the long division method;

This will be;

x-2\sqrt{x^2+7x-5}

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;

x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x

    -  x²-2x+0 ------------perform subtraction of like terms

---------------------

            9x-5  ----now divide this answer by x-2 ,starting with x and 9x

----------------------This will give , 9 then multiply  9 by x-2 to get 9x-18 and perform the subtraction operation as;

             9x-5

      -      9x-18

------------------------

                     13

So the answer will be; x+9 remainder 13

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