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3 years ago

What two numbers add to -18 and multiply to -81 Please help

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

Thats kinda not possible but -9 and -9 makes -18 but it would multiply to positive 81 i don;t know

Step-by-step explanation:

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Let f(x) = Square root of 6x and g(x) = x - 3. What's

atroni [7]

For this case we have the following equations:

$f (x) = \sqrt {6x}\\g (x) = x-3$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \sqrt {6 (x-3)}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined. That is to say:

$6 (x-3) \geq0\\(x-3) \geq0\\x \geq3$

Then, the domain is given by [3, ∞)

Answer:

The smallest number that is the domain of the composite function is 3

3 0

3 years ago

You are to give an injection of a drug. The dosage is 0.4 mg per kilogram of bod The concentration of the drug in vial is listed

shusha [124]

Answer:

We inject 60.9628 milliliters of dosage.

Step-by-step explanation:

Given : You are to give an injection of a drug. The dosage is 0.4 mg per kilogram of bod The concentration of the drug in vial is listed as 500 ug/ml. The patient's chart Hosts weight as 168 pounds.

To find : How many milliliters (= cc) are you to inject?

Solution :

We know that,

1 pound = 0.453592 kg,

Patient's weight = 168 pounds

Patient's weight in kg = $168\times 0.453592=76.203456$ kg

The dosage is 0.4 mg per kilogram of bod.

So, dosage of patient weight = $0.4 \times 76.2035\ mg = 30.4814\ mg$

We know, 1 micro gram = 0.001 mg

Concentration of drug is given by,

$500\ \text{micro grams/ml}= 500\times 0.001\ \text{mg/ml} = 0.5\ \text{mg/ml}$

Now we are supposed to find milliliters inject,

So, milliliters of dosage required to inject is

$d= \frac{30.4814}{0.5} = 60.9628$

Therefore, We inject 60.9628 milliliters of dosage.

3 0

4 years ago

The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop

ella [17]

The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2= Σ(x-mean)^2
n

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations.

Data: 90, 75, 72, 88, 85 n= 5
Mean=Σx
n
Mean = 90+75+72+88+85 = 410 = 82
5 5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two.

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

x mean x-mean (x-mean)^2
90 82 8 64
75 82 -7 49
72 82 -10 100
88 82 6 36
85 82 3 9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

6 0

4 years ago

Type in your answer as a reduced mixed number with the negative in front of the whole number -8 3/4+ -11 1/3

motikmotik

$-8\dfrac{3}{4}+\left(-11\dfrac{1}{3}\right)=-\left(8\dfrac{3\cdot3}{4\cdot3}+11\dfrac{1\cdot4}{3\cdot4}\right)\\\\=-\left(8\dfrac{9}{12}+11\dfrac{4}{12}\right)=-\left[(8+11)+\left(\dfrac{9}{12}+\dfrac{4}{12}\right)\right]\\\\=-\left(19+\dfrac{13}{12}\right)=-\left(19+1\dfrac{1}{12}\right)=-20\dfrac{1}{12}$

7 0

3 years ago

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The midpoint of the sides of triangle ABC are labeled D, E, and F. If the perimeter of triangle DEF is 24 find the perimeter of

AleksAgata [21]

Ok well the only thing that makes since to me is that the triangle is a Equilateral Triangle, so all the sides are going to be the same. And if the perimeter is 24, then you divide that by 3, and you get 8. And if DEF is the midpoints of triangle ABC, then DEF is an upside down triangle in the triangle ABC. So all the sides of ABC are double whatever DEFs are. And DEFs were 8, so 8 times 2 is 16. And to get the perimeter you add that together 3 times and you get 48. So i'm not sure exactly how you would do this, but i'm pretty sure this is the way. If not i'm sorry i couldn't help. :(

8 0

3 years ago

Read 2 more answers