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Marysya12 [62]
3 years ago
9

Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?

Mathematics
1 answer:
Semenov [28]3 years ago
5 0

Answer:

x = - 16, x = 24

Step-by-step explanation:

Given f(x) = 7 then equate f(x) to 7

0.5 | x - 4 | - 3 = 7 ( add 3 to both sides )

0.5 | x - 4 | = 10 ( divide both sides by 0.5 )

| x - 4 | = 20

The expression inside the absolute value bars can be positive or negative, so

x - 4 = 20 ( add 4 to both sides )

x = 24

OR

- (x - 4) = 20

- x + 4 = 20 ( subtract 4 from both sides )

- x = 16 ( multiply both sides by - 1 )

x = - 16

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Read 2 more answers
Is the statement below always,sometimes,or never true? Give at least 2 examples to support your reasoning. The LCM of two number
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Answer: Never true. 24 times 12 is 288, however the LCM for them is 3. 8 times 20 is 160, however the LCM for them is 2.

Step-by-step explanation:

If you look at it by the fact that every number has a LCM of 1, and every even number has an LCM of 2, it is easy to take that and apply it to this question. Just factor in the numbers.

8 0
4 years ago
The hcp has ordered cefazolin 500 mg ivpb every 6 hours. the pharmacy sends cefazolin 500 mg in 50 ml of d5/w and it is to run o
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It is to be noted that the flow rate is 50mL/h for the first instance, and;

100mL/h for the second instance.

<h3>What is flow rate?</h3>

Flow rate (Fr) is computed with the following formula:
Fr (mL/h) = Volume (mL)/ Time (Hours)

<h3>Given that the drop factor of the IVBP set is 60 gtt per ml. what is the hourly rate?</h3>

Time = 1 hour

Volume = 50 mL

It is to be noted that we don't need 500mg because it is already infused into the 50mL solution) hence,

Hourly flow rate = unknown

<u></u>

<u>To compute for Flow Rate (Fr)

</u>Recall that:

Fr (mL/h) = Volume (mL)/ Time (Hours)

Inserting the values we have
Fr = 50/1

Fr = 50mL/h

<h3>What would the hourly rate be if the hcp ordered the cefazolin to run over 30 minutes?</h3>

<u></u>

We have been given the following:
Time = 0.5 hours (30 minutes = 0.5 hours)

Volume = 50mL

It is to be noted that we don't need 500mg because it is already infused into the 50mL solution) hence

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