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maw [93]
3 years ago
11

The solution to #68 and #70

Mathematics
1 answer:
atroni [7]3 years ago
8 0
The trick is to write appropriate equations and then solve the system of equations you've created.

"sum of two numbers is -5:"  x + y = -5

"difference                   is  -1:"  x-y = -1

Add these two equations together.  This will cause y to drop out, and you will be left with an equation in x alone:

2x  = - 6, so x = -3.  Subst. -3 for x in either equation, above, and find the corresponding y value.

Then write your solution as (-3, y ) (write in your value for y).
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Henry is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Henr
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Geometric sequence general form: a * r^n
For Greg, we are given the elimination of the medicine as a geometric nth term equation:
200 * (0.88)^t
The amount of medicine starts at 200 mg and every hour, decreases by 12%;
To compare the decrease in medicine in the body between the two, it is useful to get them in a common form;
So, using the data provided for Henry, we will also attempt to find a geometric nth term equation that will work if we can:
As a geometric sequence, the first term would be a and the second term would be ar where r = multiplier;
If we divide the second term by the first term, we will therefore get r, which is 0.94 for Henry;
We can check that the data for Henry can be represented as a geometric sequence by using the multiplier (r) to see if we can generate the third value of the data;
We do this like so:
282 * (0.94)^2 = 249.18 (correct to 2 d.p)
We can tell that the data for Henry is also a geometric sequence.
So now, we just look at the multiplier for Henry and we find that every hour, the medicine decreases by 6%, half of the rate of decrease for Greg.

The answer is therefore that <span>Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.</span>
3 0
3 years ago
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16. The price of an item will increase by RM4 every month. If the current price
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According to the scale on a map, 1 inch on the map = 15 miles. How many miles are represented by 2.5 inches on the map?
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3 years ago
I am thinking of three positive numbers. The mode is 5 The median is 5 The range is 9 Work out the three numbers.
Aleksandr-060686 [28]

Answer: either 5, 5, 14

First, we know the median is 5.  Thus, the middle value of the data is 5, so the set can now be read x, 5, y.  Then, because the mode is 5 and the set is not trimodal, either x or y must be 5.  Thus, the set could either be 5, 5, 14, or

-4, 5, 5.  However, because it must contain only positive number, the answer is 5, 5, 14

Hope it helps <3

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3 years ago
What was the day of the week on Alex’s 39 day of his trip
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Answer:

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Step-by-step explanation:

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