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Setler [38]
3 years ago
9

If 15bx-20>35 where b is a positive constant which of the following best describes all possible values of 4-3bx

SAT
2 answers:
Anuta_ua [19.1K]3 years ago
8 0
Quora Open This sounds like a multiple-choice test question from a standardized test. But let's take a look at it. If 15bx – 20 > 35 ,where b is a positive constant ... So you are given an equation here. Next you are given something to compare it to. 4 – 3bx. So we want to go from 15bx – 20 to 4 – 3bx. The point is for you to think about the relationship. What is the relationship of -20 to 4? How would you turn -20 into 4? By dividing by -5. Of course, division by a negative means you have to reverse the direction of the inequality. 15bx – 20 > 35 15bx – 20 35 -5 -5 4 – 3bx < -7. Note. You will be given an option with the incorrect inequality! After all, they want to see whether you remember every part of handling an inequality like this. Notice that we didn't have to solve for x. We didn't have to do a lot to the equation. We just had to do enough. That's why it is important to take your time to read the problem carefully and think about what it wants.
kotegsom [21]3 years ago
6 0

Answer: Any values greater than -7

Explanation: answered it

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Explanation:

#37: The data is per milliliter, so to find out how much pen*cillin is present for TEN milliliters, multiply the value by 10. So, after 5 minutes, there were 152 micr*grams of penic*llin per milliliter in the kidn*ys, which means 1520 (152 x 10) micr*grams per TEN milliliters of bl*od. Now, for step 2 we need to go to row three and calculate the amount of penic*llin (in micr*grams, no conversion necessary) per EIGHT milliliters of bl*od, NOT TEN. Therefore, we are going to multiply the per milliliter value by EIGHT. 118 x 8 = 944. To answer the question we need to find the positive difference (the questions asks for how much MORE, NOT LESS) between 1520 and 944. This is 576 (1520 - 944 = 576).

#38: to get an the most accurate reading for variable P, you can use any data in the table except for row one, because this is immediately after injection, the full amount of penic*llin given in the d*se.

Formula for depreciation of penic*llin in body after inj*ction (measured in intervals of 5 mintues): P(t) = 200b^(t/5)

See, if we solve for "b" using any of the rows after 1 we will get a very similar answer and when rounded to the nearest tenth, they will all equal 0.8.

**the "P(t)" is the same as function of x which is equivalent to the output (y value) in a table.

<h2>Row Two</h2>

P(5) = 200b^(5/5)\\152 = 200b^1\\152 = 200b\\152/200 = b\\b = 0.76 = 0.8\\ (nearest tenth)

<h2>Row Three</h2>

P(10) = 200b^(10/5)\\118 = 200b^2\\118/200 = b^2\\59/100 = b^2\\b = \sqrt{.59} = 0.768114575\\b = 0.77 = 0.8 (nearest tenth)

<h2>Row Four</h2>

P(15) = 200b^(15/5)\\93 = 200b^3\\93/200 = b^3\\0.465 = b^3\\b = \sqrt[3]{0.465} = 0.774731089\\b = 0.77 = 0.8(nearest tenth)

<h2>Row Five</h2>

P(20) = 200b^(20/5)\\74 = 200b^4\\74/200 = b^4\\37/100 = b^4\\b^4 = .37\\b = \sqrt[4]{0.37} = 0.77992067098508\\b = 0.78 = 0.8 (nearest tenth)

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