Is f(x) = 2x²+4 reducible over z ​

Answer:

The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Center (0, -3)

This means that [tex]x_0 = 0, y_0 = -3[/tex]

Radius square root of 11

This means that [tex]r = \sqrt{11}[/tex]

Equation of the circle:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - 0)^2 + (y - (-3))^2 = (\sqrt{11})^2[/tex]

[tex]x^2 + (y + 3)^2 = 11[/tex]

The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]

Answer:

44

Step-by-step explanation:

50% is half of the whole

88/2=44

Answer:

44

Step-by-step explanation:

88/2

Answer:

DE = 21

Step-by-step explanation:

Recall: the ratio of the corresponding side lengths of similar triangles are equal

Given that ∆ABC ~ ∆DEF, therefore,

AB/DE = BC/EF = AC/DF

AB = 8.4

DE = x

BC = 10

EF = 25

AC = 16.5

DF = 41.25

Let's find DE using AB/DE = BC/EF. Thus:

8.4/x = 10/25

Cross multiply

x*10 = 25*8.4

10x = 210

Divide both sides by 10

x = 210/10

x = 21

DE = x = 21

Answer:

11 pieces

Step-by-step explanation:

19 1/4 ÷ 1 3/4

19 x 4 = 76 + 1 = 77

1 x 4 = 4 + 3 = 7

77/4 ÷ 7/4

77/4 ÷ 7/4 = 11/1

11 pieces

(Just copy my work above for Part B)

Answer:

the answer is A

Step-by-step explanation:

[tex] log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60[/tex]

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Answer:

  1 7 21 35 35 21 7 1

Step-by-step explanation:

Numbering from k=0 to k=7, the k-th coefficient in the row is ...

  C(7, k) = 7!/(k!(7-k)!)

You know the first two in row 7 are 1 and 7. There are 8 in the row, and the row is the same forward and backward. This means you only need to find C(7, 2) and C(7, 3). These are ...

  C(7, 2) = 7!/(2!(5!)) = 7·6/(2·1) = 21

  C(7, 3) = 7!/(3!(4!)) = 7·6·5/(3·2·1) = 35

So, row 7 is ...

  1, 7, 21, 35, 35, 21, 7, 1

Answer:

not existing

Step-by-step explanation:

[tex] \frac{ - 6 + x}{ {x}^{4} } [/tex]

lim x goes to 0 is

[tex] \frac{ - 6 + 0}{ {0}^{4} } = \frac{ - 6}{0} [/tex]

so not exist

I'm not sure if u mean that or this

Answer:

A. x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 216 = 6^{2x - 1}[/tex]

Step 2: Solve for x

Answer:

0

Step-by-step explanation:

12.5/3.79 = 3.2981530343

3.2981530343 rounded = 3.3

1/3 = 3.33333333333333

3.33333333333333 rounded = 3.3

3.3 - 3.3 = 0

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Answer:

  $0.03 per ounce

Step-by-step explanation:

The unit rate for the smaller bag is ...

  $1.00/(3 oz) = $0.333 /oz

For the larger bag, it is ...

  $3.79/(12.5 oz) = $0.303 /oz

Then the difference in unit rates is ...

  $0.333 -0.303 = $0.03 . . . per ounce

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Answer:

  x = 24

Step-by-step explanation:

The two angles are complementary, so their sum is 90°.

  x° +(3x -6)° = 90°

  4x = 96 . . . . . . . . . . . . divide by °, add 6

  x = 24 . . . . . . . . . . . . . divide by 4

Answer:

-14

Step-by-step explanation:

just like 8+6 = 14

-8-6 = -14

Answer:

((5 * 5) + 5 - 5 - 5) * 5

Step-by-step explanation:

((5 * 5) + 5 - 5 - 5) * 5

((25) + 5 - 5 - 5) * 5

(30 - 5 - 5) * 5

(25 - 5) * 5

20 * 5

100

Answer:

According to me it should be Option B, 15.31

Hope this helps!

The expected value for the age of a randomly chosen student is,

⇒  15.38

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.

To know more about probability:

brainly.com/question/743546

#SPJ7

Answer:

A=1

45(5+25)a2

Step-by-step explanation:

Answer:

I think the manager is correct because Jenny should not order the belts according to its sold quantity or according to the demand of other people.She must choose the size according to her waist size and the other's for whom she is going to buy.

Will you mark it the brainliest please because I answered your question inspite of being in class:)

Answer:

C

Step-by-step explanation:

it describes how much the shown graph extends left and right.

Note that 4 is included, but -2 itself not. that's why it's empty and A isn't correct.

B and D are completely inapplicable

pls brainliest

Answer:

15

Step-by-step explanation:

let the number be n, then

[tex]\frac{n+62}{7}[/tex] = n - 4 ( multiply both sides by 7 to clear the fraction )

n + 62 = 7n - 28 ( subtract n from both sides )

62 = 6n - 28 ( add 28 to both sides )

90 = 6n ( divide both sides by 6 )

15 = n

That is the number is 15

It would be a rectangular prism

Answer: 6:14

Step-by-step explanation:

3 + 7 = 10x

10x of 20 = 20/10

10x of 20 = 2

3*2:7*2 = 6:14

Answer:

6:14

Step-by-step explanation:

3+7= 10... Double the numbers. The line should be drawn so that 6 is on one side and 14 are on the other.

Answer:

D

Step-by-step explanation:

Answer:

B:yes because the paper slips were equally size and the bag was shaken

Step-by-step explanation:

Taking the test

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Answer:

  8. A = {Delaware, New Jersey, Pennsylvania}

  9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

  A = {Delaware, New Jersey, Pennsylvania}

__

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

  |B| = 3

Answer:

36 green apples

Step-by-step explanation:

Red=40%

Green =x%

40/100 × 60apples

0.4×60

24red apples

so 60-24

36green apples

Answer:

b) 36.

Step-by-step explanation:

Justicemoya35 has an excellent answer, but I will provide a slightly different approach!

According to the word problem, the box contains 60 apples.

If 40% of the apples are red, then 60% of the apples are green.

As I mentioned before, there are 60 apples; 60% of the 60 apples are green.

This means we have the find 60% of 60.

We can find the percentage of a number by using this formula:

60% OF 60

[tex]\frac{is}{of} =\frac{percent}{100}[/tex]

[tex]\frac{x}{60} =\frac{60}{100}[/tex]

Now that I've correctly set up the problem, we cross multiply, then divide the products.

[tex]60*60=3600[/tex]

[tex]100*x=100x[/tex]

[tex]3600/100x=36[/tex]

[tex]x=36.[/tex]

Therefore, 36 apples are red.

Answer:

Step-by-step explanation:

take 23 degree as reference angle

using tan rule

tan 23=opposite/adjacent

0.42=x/3.2

3.2*0.42=x

1.34=x

1.3=x

Answer:

x equals to about 1.36

Step-by-step explanation:

Okay so first of all list write out Sin Cos and Tan. SOH-CAH-TOA

Now lets see what we are given. For the reference angle we are given 23.

We are also given 3.2 which is the adjacent angle. And the angle opposite of the reference angle is x. So all in all we have <23, Adjacent length 3.2, opposite length x.

Now we see which one would fit for this. That would be Tan since it deals with adjacent and opposite angles.

Now lets write it out as an equation. tan(23)= x/3.2 | Okay now next to get x alone we move it to the right side. That would leave us with tan(23)*3.2 which equals to about 1.36 "1.35831941187". Remember to use degree and not radiant.

An image is also added.

Hope it helps.

Answer:

[tex]y=-2x+8[/tex]

Step-by-step explanation:

In slope-intercept form, the equation of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] represent the coordinates of any point the line passes through.

Since we're given two points the line passes through, we can find the slope of the line using the slope formula [tex]m=\frac{\Delta y}{\Delta x}[/tex]:

[tex]m=\frac{-8-6}{8-1}=\frac{-14}{7}=-2[/tex]

Now we can plug in any point the line passes through to find the y-intercept:

[tex]6=-2(1)+b,\\6=-2+b,\\b=8[/tex]

Thus, the equation of this line is equal to [tex]y=-2x+8[/tex].

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; [tex]o_i[/tex]  60   90   92    58

data sample = 300

Expected [tex]e_i[/tex] = 300 / 4 = 75

the x² test statistic = ?

[tex]X^2_{stat[/tex] = ∑[ ([tex]o_i[/tex] - [tex]e_i[/tex])²/[tex]e_i[/tex]]

[tex]X^2_{stat[/tex] = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

[tex]X^2_{stat[/tex] = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

[tex]X^2_{stat[/tex] = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Answer:

C. 11.60 ounces to 12.60 ounces

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 12.10, standard deviation 0.25.

In which range will the amount of water dispensed be found 95% of the time?

By the Empirical Rule, within 2 standard deviations of the mean. So

12.10 - 2*0.25 = 12.10 - 0.5 = 11.60

12.10 + 2*0.25 = 12.10 + 0.5 = 12.6

So the correct answer is given by option C.

Answer:

v=3.14 r 2 h

3.14 (2)(2)(7)= 87.9

Answer:

The answer for the Volume is 87.9 to 1d.p or 88in³ to the nearest tenth

Step-by-step explanation:

Volume of a cylinder =pir²h

r=d/2=4/2=2in

V=3.14×2²×7

V=3.14×4×7

V=87.92in³

V=87.9in³ to 1d.p

V=88in³ to the nearest tenth