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solong [7]
2 years ago
5

What is the value of minus 6 x cubed minus y squared minus 3 x y if if x = -2 and y = 4

Mathematics
2 answers:
Oksi-84 [34.3K]2 years ago
8 0

Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:

-6x^{2} -y^{2} -3xy

Then, if we insert the values for x and y, we get:

-6(-2)^{2} -(4)^{2} -3(-2)(4)

When we distribute and multiply:

144-16-24

And once we combine like terms:

104<em> is the answer</em>


Kaylis [27]2 years ago
8 0

The given statement can be written in expression form as

-6x^3-y^2-3xy

As the value of x=-2 and y=4 are given .

To find the value of expression at the given values of x and y , we have to insert the values into the expression

-6(-2)^3-(4)^2-3(-2)(4)

Now solving by cubing and squaring the numbers

-6(-8)-16-3(-8)

As negative negative is positive and positive negative is negative

48-16+24

Adding like terms and subtracting we get

72-16=56

56 is the Answer

Hope this will help

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In an apartment complex with 28 units, 19 of the renters keep a pet. What percentage does not keep a pet?
Aleks04 [339]

If 19 out of 28 renters keep a pet, there are 28-19 = 9 renters who don't keep a pet.

Whenever you have a subset of some set, and you want to know which percentage of the set the subset represents, you simply have to compute

\dfrac{\text{number of elements in the subset}}{\text{number of elements in the set}}\times 100

So, in your case, you're wondering what percentage of 28 does 9 represent. So, the formula becomes

\dfrac{9}{28}\times 100 = 0.32\overline{142857}\times 100 = 32.\overline{142857} \approx 32.14\%

6 0
1 year ago
The following data represent the length of life in
Natali [406]

Answer:

(a) For the stem-and-leaf plot, we need to organise all data in columns, one column is the stem and a second column is the leaf, but in this case, stems are going to be the digits to the left of the decimal point, and leafs are the digits to the right of the decimal point:

<u>Stem</u>            <u> Leaf </u>

0             2 2 2 3 3 4 5 7

1              0 2 3 5 5 8

2             0 3 5

3             0 3

4             0 5 7

5             0 5 6 9

6             0 0 0 5

(b) Relative frequency distribution.

Remember that, a relative frequency is calculated dividing the absolute frequency by the total data, in this case, we approximated to the hundredth.

Length of life    Absolute Frequency      Relative Frequency     % Relative Freq.

0.2                              3                                        0.1                                10

0.3                              2                                        0.07                              7

0.4                              1                                         0.03                              3

0.5                              1                                         0.03                              3

0.7                              1                                         0.03                              3

1.0                               1                                         0.03                              3

1.2                               1                                         0.03                              3

1.3                               1                                         0.03                              3

1.5                               2                                        0.07                              7

1.8                               1                                         0.03                              3

2.0                              1                                         0.03                              3

2.3                              1                                         0.03                              3

2.5                              1                                         0.03                              3

3.0                              1                                         0.03                              3

3.3                              1                                         0.03                              3

4.0                              1                                         0.03                              3

4.5                              1                                         0.03                              3

4.7                              1                                         0.03                              3

5.0                              1                                         0.03                              3

5.5                              1                                         0.03                              3

5.6                              1                                         0.03                              3

5.9                              1                                         0.03                              3

6.0                              3                                        0.10                               10

6.5                              1                                         0.03                              3

Total                          30                                          

(c)

To calculate the sample mean we need to sum all number, which results: 83.9. Then, we divide this result to the total 30, which result: 2.80.

The sample range is the difference between the highest and the lowest value: 6.5 - 0.2 = 6.3.

The sample standard deviation is calculated trough the following process:

Step 1: Subtract the mean from each number.

Step 2: Square each result.

Step 3: Add the squared deviations.

Step 4: Divide the sum by one less the total.

Step 5: Take the square root, and there you have it.

Doing this steps, the result is 2.22.

This last process is attached:

4 0
1 year ago
walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0
1 year ago
Given circle X with radius 10 units and chord AB with length 12 units, what is the length of segment CX, which bisects the chord
andrew-mc [135]
Consider the circle with center X, as shown in the figure. 

Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.

Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.

SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is  

\sqrt{ XB^{2}- CB^{2}} = \sqrt{ 10^{2}- CB^{6}}= \sqrt{100-36}= \sqrt{64}=8 units.


Answer: 8 units

7 0
2 years ago
Find the volume of the composite solid. Round to the nearest tenths. Radius:2 height:4
yKpoI14uk [10]

Answer:

60

Step-by-step explanation:

6 0
2 years ago
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