What does 'n' represent in the general term (tn) = an2 + bn+c of a sequence? ​

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

Given the rational function expressed as:

f(x) = x+6/x^2-9x+18

To determine the point where the function is decreasing, we will equate the numerator to zero to solve for the value of x

x + 6 = 0
x = -6

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

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Answer:

In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.

Answer:

a combination of individual choice and government protection

Step-by-step explanation:

For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4

To find the answer to this question, we will have to find the values of x where:

-5|x + 1| + 3 = -12

We can solve this equation for x to find the values of x that satisfy this equation.

-5|x + 1| + 3 = -12

Subtract 3 from both sides.

-5|x + 1| = -15

Divide both sides by -5.

|x + 1| = 3

Now here, the equation will split off into two different equations. These two are:

x + 1 = 3

x + 1 = -3

Lets solve the first one first.

x + 1 = 3

Subtract 1 from both sides.

x = 2

Now we solve the second one.

x + 1 = -3

Subtract 1 from both sides.

x = -4

So now we have the answers x = 2 and x = -4.

So the values of x are x = 2, -4

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Answer:

Step-by-step explanation:

a. These triangles are proportional. Identify the corresponding sides for all three sides.

40 AB------30 YZ

50 AC-------37.5 XY

60 BC---------45 XZ

b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.

Fraction: 3/4

40 x3/4 = 30

50 x 3/4 =  37.5

60 x 3/4 = 45

c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.

The triangles are similar

The Side-Side-Side Similarity Theorem states: “If all three corresponding sides of two triangles are proportional, then the triangles are similar".

Answer:

A. Sides AB, BC, and CA are proportional to YZ, ZX, and XY, respectively.

B. 3/4(AB) = YZ, 3/4(BC) = ZX, 3/4(CA) = XY

3/4 x 40 = 30    3/4 x 60 = 45    3/4 x 50 = 37.5

C. Yes, by SSS

Step-by-step explanation:

a. and b. are self-explanatory, but I will explain c.

When testing if two triangles are similar, they have to have the same except for scaling and flipping or turning. You know triangles are the same if all three sides are equal (SSS), two angles are equal (AA), or if there are two equal sides with an equal angle between them (SAS).

Since similar tringles can be scaled, these rules turn into if all three sides are proportional (SSS), two angles are equal (AA), or if there are two proportional sides with an equal angle between them (SAS).

These two triangles have proportional sides, so SSS applies and they are similar.

[tex] {x}^{8} + {x}^{4} + 1[/tex]

factorise

[tex] {x}^{8} + {x}^{4} + 1[/tex]

[tex] = x ^{8} + 2 {x}^{4} + 1 - {x}^{4} [/tex]

[tex] = ( {x}^{4} + 1 {)}^{2} - ( {x}^{2} {)}^{2} [/tex]

[tex] = ({x}^{4 } + 1 + {x}^{2}) ( {x}^{4} + 1 - {x}^{2} )[/tex]

[tex] = ( {x}^{4} + 2 {x}^{2} + 1 - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = (( {x}^{2} + 1 {)}^{2} - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = ( {x}^{2} + 1 + x)( {x}^{2} + 1 - x)[/tex]

[tex] = ( {x}^{4} - {x}^{2} + 1)[/tex]

Answer:

Below.

Step-by-step explanation:

Reflection in x-axis: (x, y) ----> (x, -y).   (x value stays the same)

Reflection in y-axis: (x, y) ----> (-x, y).   ( y value stays the same)

Answer: 24 units²

Step-by-step explanation:

      We will use the formula for the area of a parallelogram and solve.

      A = bh

      A = 6 * 4

      A = 24 units²

      Isn't this the same formula used for a rectangle? Correct! See attached, the "extra triangle" on the left side can be moved to the right side, and then we solve it like it is a rectangle.

Answer:

I think b

Step-by-step explanation:

Answer:

C. [tex]1\frac{2}{10}[/tex]

Step-by-step explanation:

[tex]\frac{30}{100}+\frac{9}{10}=\frac{30}{100}+\frac{90}{100}[/tex]

[tex]\frac{30}{100}+\frac{90}{100}=\frac{120}{100}[/tex]

[tex]\frac{120}{100}=1\frac{20}{100}[/tex]

[tex]1\frac{20}{100}=1\frac{2}{10}[/tex]

Explanation:

[tex] \frac{300}{100} + \frac{9}{10} [/tex]

[tex] \frac{30}{10} + \frac{9}{10} [/tex]

[tex] \frac{3 + 9}{10} [/tex]

[tex] \frac{3 + 9}{10} = \frac{12}{10} [/tex]

Cross out common factors.

[tex] \frac{6}{5} [/tex]

Answer:

[tex]1 \frac{2}{10} [/tex]

Hope this helps.

Answer:

1046.9

Step-by-step explanation:

The formula for calculating volume of a sphere is the following:

4/3·π·r³

The question asks for you to substitute 3.14 instead of using the exact number π.

∴V=4/3·3.14·6.3^3

V=1046.86344

Now round your answer to the nearest tenth:

1046.86344 -->1046.9

∴V=1046.9

There's a lot going on in this problem, but I think I know how to solve it. So let's first address the fact that opposite angles are equal.

Let's also address the fact that (x + 6) + (3x - 4) add up to equal 90. So with that information, we can write a problem.

x + 6 + 3x - 4 = 90

Add the x's.

4x + 6 - 4 = 90

Combine the 6 and 4.

4x + 2 = 90

Subtract the two on both sides.

4x = 88

Finally, divide by 4.

x = 22

But by no means are we done yet. We still have to find out the entire angle MFE's measure, so we'll substitute 22, our new x value, into the equation for MFE - (x + 6)

22 + 6 is the new equation.

22 + 6 = 28

Angle MFE is 28°. I took the liberty of solving for the other angle, too, so I could check the answer. And as of my checking, this answer is correct because

62 + 28 = 90

I hope this answers your question.

-Toremi

Answer:

a. $131.93

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge

Answer:

greater than 90 but less than 180

Step-by-step explanation: the angle on 2 is a obtuse

hope this helps :)

Answer:

  154°

Step-by-step explanation:

Angles formed from opposite rays and sharing a vertex are called "vertical angles." Vertical angles are congruent.

Angle 2 and the one marked 154° are vertical angles, so they have the same measure.

Angle 2 is 154°.

_____

Additional comment

For this question, line WZ and angles 4 to 7 are irrelevant.

Answer:

No

Step-by-step explanation:

The biggest is the third side and the other two triangles have to bigger than that side and 8.0 plus 3.5 equals 11.5.

Answer: C. 2 3/4 yards.

Hope this helps! :)

Please mark me brainliest.

Answer:

2  3/4

Step-by-step explanation:

Longest  - shortest =

  4 1/2     -   1 3/4   =  2 3/4

Answer:

[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

LCD: 120

[tex]\frac{4}{15} +\frac{7}{8} -\frac{11}{12}[/tex]

[tex]\frac{32}{120} +\frac{105}{120} -\frac{110}{120}[/tex]

[tex]\frac{27}{120}[/tex]

[tex]\frac{9}{40}[/tex]

Hope this helps!

Answer:

9/40

hope this helps.

If Carrie has a string 9 inches long, what she will cut the piece into  is mathematically given as

X=2.25pcs

Generally, the equation for the number of pieces  is mathematically given as

X=Total number *ratio

Therefore

X=9*1/4

X=2.25

In conclusion, If Carrie has a string 9 inches long, she will get 2.25 pics at a 1/4 ratio

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Answer:

10

Step-by-step explanation:

The median is arranged in numerical value.

it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.

Answer:

its 9

Step-by-step explanation:

19-1 divided by 2

so 19-1=18

18/2 equals 9

and thats your answer

Answer:

1,2,3,4 on edge

Step-by-step explanation:

Answer:

it would be 5.5

Step-by-step explanation:

0.3  1.2  3.7  5.5  5.8  8.1  9.7

Answer:

4.9

Step-by-step explanation:

Median; add up all the numbers then divide by the amount of data points

1.2 + 5.8 + 3.7 + 9.7 + 5.5 + 0.3 + 8.1

7 + 3.7 = 10.7

10.7 + 9.7 = 20.4

20.4 + 5.5 = 25.9

25.9 + 0.3 = 26.2

26.2 + 8.1 = 34.3

34.3 / 7 =4.9

Answer:

3/4

Step-by-step explanation:

p = root under (h square - b square)

Answer:

0

Step-by-step explanation:

•103n+26n = 131n

Combine 103 n and 26 n to get 129n

•129n=131n

Substract 131n from both sides

•129n-131n=0

Combine 129n and -131n to get 2n

•-2n=0

Product of two numbers is equal to 0 if atleast one of them is 0. Since -2 is not equal to 0, n must be 0.

•n=0

Answer:

(2, 4)

Step-by-step explanation:

A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).

Answer:

-8

Step-by-step explanation:

The opposite of a positive integer is a negative integer so it must be -8