Explain how to determine the long term (end) behavior of the following two polynomials:
cubic polynomial with negative leading coefficient like y=-2x^3+3x^2+x+1;
quartic polynomial with positive leading coefficient like y=5x^4+3x^2+4x+9.

Answer:

A=36

Step-by-step explanation:

A=1/2(a+b)h

=1/2[(4+8)6]

=1/2[(12)6]

=1/2(72)

=36

Answer:

b = 7.14cm

Step-by-step explanation:

For this question, we need to use the pythagorean theorem, since it is a right triangle, and we know two sides. The formula for the Pythagorean theorem is c^2 = a^2 + b^2.

1. a = 5.8cm so a^2 will be 5.8 x 5.8 which is 33.64

2. c = 9.2cm so c^2 will be 9.2 x 9.2 which is 84.64

3. If we add these to our Pythagorean equation, it will be 84.64 = 33.64 + b^2. --> 51 = b^2 --> b = 7.141428....

4. Since we need to round it to two decimal places, b will be 7.14.

Answer: Altitude

Step-by-step explanation:

Altitude is perpendicular line made from vertex to side

The line PQ is the altitude, the correct option is C.

A triangle is a polygon with three sides, three vertices and three angles.

The Triangle PSR is an obtuse angle triangle,

The line PQ makes 90 degree with the line SR extended up to Q.

The line is the height of the triangle.

To know more about Triangle

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Answer:

y - 41°

x - ?

Step-by-step explanation:

use method of Z equation

Z 41° so y is 41° too

make sense

Answer:

It is true

Step-by-step explanation:

Hopes this help

Answer:

they are equal

Step-by-step explanation:

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

Répondre:

25

Explication étape par étape :

La question exigeait qu'un numéro de départ soit choisi ; 2 ajoutés au numéro de départ et le carré du résultat est effectué :.

Numéro de départ = - 7

Ajouter 2 à - 7

2 + - 7 = 2 - 7 = - 5

Carré du résultat /

-5² = 25

Answer:

X = 29

Y = 8

Step-by-step explanation:

X - y = 21

X = 2y + 5

Substitute:

2y+5-y= 21

2y = 16

Y = 8

X-8 = 21

X = 29

Answer:

256 ft

Step-by-step explanation:

cross multiply

4x = 32(32)

4x = 1024

x =256

256 ft

Answer:

the anserw would be B

Step-by-step explanation:

The relationship that explains the exponential relationship between the year and amount of energy used is: Option B: The amount of energy used decreases by different amount each year.

Rate of an exponential function is  in terms of exponential function itself. It's not constant, and always changing. For example, the rate of [tex]y = e^x[/tex] with respect to x is [tex]y' = e^x[/tex] itself, which increases as x increases.

The given table is:

Year(Serial no.)   Amount of energy used (kWh)

          1                      1,000,000

         2                         900,000

         3                         810,000

         4                         792,000
The differences between each consequent years of the amount of energy used is:

1000000 - 900000 = 100000

900000 - 810000 = 90000

810000 - 792000 = 18000

So, we see that the decrement is done by decreasing amount.

So rate of change wasn't constant but continuosly changing.

Thus, Option C is clearly wrong.

We see that 100,000 is 10% of 1,000,000

and 90,000 is 10% of next years amount 900,000

but 18,000 is not 10% of next years amount which is 810,000

Thus, Option A is wrong too.

Option B is correct in its statement, and so as option D because we don't see any immediate pattern in the decrement, except that the energy is just decreasing, so its unexpected.

The rate of exponentially related variables is not unexpected though.

So, its only Option B which is closest (among other options) to the intention of telling that the relation between the year and the amount of energy used is exponential, although it doesn't prove that the relationship is exponential. (because, suppose the function i take is [tex]y = x^2[/tex], then its rate with respect to x is [tex]y' = 2x[/tex] and this rate is also non-constant, but the function wasn't exponential).

Thus, the relationship that explains the exponential relationship between the year and amount of energy used is: Option B: The amount of energy used decreases by different amount each year.

Learn more about rates of exponential functions here:

https://brainly.com/question/1497850

Answer:

The answer would be the third one.

Given:

The inequality is:

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

To find:

The inequality after isolating the y-term.

Solution:

We have,

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

On simplification, we get

[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]

[tex]y+2>2x+3[/tex]

Subtracting 2 from both sides of the above inequality, we get

[tex]y+2-2>2x+3-2[/tex]

[tex]y>2x+1[/tex]

Therefore, the required inequality is [tex]y>2x+1[/tex].

Answer:

32%

Step-by-step explanation:

703/2226=32%

Answer:

you don't put the L value

Answer:

-14:9

Step-by-step explanation:

Given :

3 · (7 – 2) – 23 – (10 – 4) : 9

Now,

3 · (7 – 2) – 23 – (10 – 4) : 9

21-6-23-6:9

21-35:9

-14:9

Answer will be -14:9

Answer:

Use papa math

Step-by-step explanation:

Use papa math

Answer:

40

Step-by-step explanation:

Let the numbers be 2x and 3x

Then their L.C.M. = 6x

BUT also their LCM=48

6x=48

x=48/6

x=8

So,

First number=2x=2x8=16

Second number=3x=3x8=24

The numbers are 16 and 24.

Hence required sum =(16+24)=40

So none of the options are correct

Answer:

The slope is 3/2 and a point on the line is (-7,-4)

Step-by-step explanation:

Point slope form of a line is

y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y+4=-3/2(x+7)

y - -4 = 3/2 ( x - -7)

The slope is 3/2 and a point on the line is (-7,-4)

Answer:

[tex] \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]

Answer:

Step-by-step explanation:

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Answer:

Future population = 720800

Step-by-step explanation:

Below is the calculation of population after 15 years.

Given the present population = 340000

Growth in population = 5.25%

Use below formula to find the values:

Future population = Present population ( 1 + r)^n

Future population = 340000 ( 1 + 5.25%)^15

Future population = 340000 (2.15)

Future population = 720800

Answer:

-3

Step-by-step explanation:

If lines are parallel to each other, they will never touch so the slope will be the same.

So if the first line is already given in slope intercept form, that means the -3 is the slope.

So a line parallel to this would have the slope -3 and start at a different place on the y axis.

Answer:

86

hope this helps!

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Answer:

86

Step-by-step explanation:

Express 29% as a decimal, which is 0.29

Then divide 24.94 by 0.29, which gives you 86.

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

Answer:

Step-by-step explanation:

12 inches                               60 inches

---------------- is equivalent to ------------------

  1 foot                                        5 feet

This can be seen if we multiply both numerator and denominator of the first ratio by 5 (each).

120 inches

------------------ is another equivalent fraction (or ratio).

  10 feet

Answer:B and C

Step-by-step explanation:

12/1 = 60/5

1/12 = 5/60

Answer:

Arc AB = 110

Step-by-step explanation:

<C = 55 degrees. That's the way the triangle is marked. AB = BC.

The central angle is twice the angle made by the end points of line AB

The central angle = 2*55 = 110

The measure of arc AB equals the central angle which makes arc AB = 110