Hey guys 25 points and brainliest!

The result of the given equation  [tex](3x^2 - 2^x + 5) -(x^2 + 3x - 2)\\[/tex] is [tex]4x^4-10x^3 + 14x^2[/tex]

"Cubic polynomial is a type of polynomial based on the degree i.e. the highest exponent of the variable. Hence, a cubic polynomial is a polynomial with the highest power of the variable or degree is 3. A polynomial is an algebraic expression with variables and constants with exponents as whole numbers"

"The general form of a cubic polynomial is p(x): ax3 + bx2 + cx + d, a ≠ 0, where a, b, and c are coefficients and d is the constant with all of them being real numbers. An equation involving a cubic polynomial is called a cubic equation. "

The given equation is given as[tex](3x^2 - 2^x + 5) - (x^2 + 3^x - 2)[/tex]

Solving it ,we get [tex]2x^2 - 5x +7[/tex]

Now multiplying it by [tex]1/2x^2[/tex] gives us [tex]4x^4-10x^3 + 14x^2[/tex]

Hence the answer is [tex]4x^4-10x^3 + 14x^2[/tex]

To know more about cubic polynomial here

https://brainly.com/question/12726811

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Answer:

1:15am

Step-by-step explanation:

Answer:

The length is 9 feet and the width is 4 feet.

Step-by-step explanation:

Let the dimensions be L (the length)  and L - 5 (the width).

From the given information the area is:

A = L(L - 5)

When L becomes L + 3 and width becomes (L - 5) -1  = L - 6 we have:

A = (L + 3)(L - 6) so

L(L - 5) = (L + 3)(L - 6)

L^2 - 5L = L^2 - 3L - 18

-2L  = -18

L = 9

so the width = 9 - 5 = 4.

Answer:

for class A

mean ={3+4+8(5)+6+7)/12}=5hours

mean absolute deviation (MAD) for A

=[|5-3|+|5-4|+8|5-5|+|5-6|+|5-7|]/12=6/12=1/2

for class B

mean =4 hours given

mean absolute deviation (MAD) for B

=[|4-7|+|4-8|+8|4-9|+|4-10|+|4-11|]/12=60/12=5

Answer:

Step-by-step explanation:

we are given some data 3,4,5,5,5,5,5,5,5,5,6,7

we want to figure out the MAD (Mean absolute deviation) of the given database

remember that,

[tex] \rm\displaystyle \: MAD = \frac{1}{n} \sum_{i = 1} ^{n} |x_{i} - m(x)| [/tex]

where m(X) represents the mean of the given database and [tex]|x_{i}-m(X)|[/tex] tells us to subtract every data with the got mean and n represents the number of data

let figure out m(X)

[tex] \rm\displaystyle \: m(x) = \frac{3 + 4 + 5(8) + 6 + 7 }{12} [/tex]

simplify multiplication:

[tex] \rm\displaystyle \: m(x) = \frac{3 + 4 + 40 + 6 + 7 }{12} [/tex]

simplify addition:

[tex] \rm\displaystyle \: m(x) = \frac{60}{12} [/tex]

simplify substraction:

[tex] \rm\displaystyle \: m(x) = 5[/tex]

let's figure out [tex]\sum[/tex] and [tex]|x_i-m(X)|[/tex]

[tex] \displaystyle\begin{array} {|c |c| } \hline |x_{i} - m(x) | & \displaystyle\sum_{i = 1} ^{n} |x_{i} - m(x) | \\ \hline |3 - 5 | & 2 \\ \hline | 4 - 5 | &1 \\ \hline |5(8) - 5(8)| &0 \\ \hline |6 - 5|&1 \\ \hline |7 - 5| &2 \\ \hline \\ \text{total} & 5 \\ \hline\end{array}[/tex]

last part let's figure out MAD

[tex] \displaystyle \: MAD = \frac{5}{12} [/tex]

simplify division:

[tex] \displaystyle \: MAD = 0.42[/tex]

likewise class-2

given database 7,8,9,9,9,9,9,9,9,9,10,11

figure out m(X)

[tex] \rm\displaystyle \: m(x )= \frac{7 + 8 + 9(8) + 10 + 11}{12} [/tex]

simplify multiplication:

[tex] \rm\displaystyle \: m(x )= \frac{7 + 8 + 72 + 10 + 11}{12} [/tex]

simplify addition:

[tex] \rm\displaystyle \: m(x )= \frac{108}{12} [/tex]

simplify division:

[tex] \rm\displaystyle \: m(x )= 9[/tex]

likewise

figure out [tex]\sum[/tex] and [tex]|x_i-m(X)|[/tex]

[tex] \displaystyle\begin{array} {|c |c| } \hline |x_{i} - m(x) | & \displaystyle\sum_{i = 1} ^{n} |x_{i} - m(x) | \\ \hline |7 - 9 | & 2 \\ \hline | 8- 9 | &1 \\ \hline |9(8) - 9(8)| &0 \\ \hline |10 - 9|&1 \\ \hline |11- 9| &2 \\ \hline \\ \text{total} & 5 \\ \hline\end{array}[/tex]

figure out MAD

[tex] \displaystyle \: MAD = \frac{5}{12} [/tex]

simplify division:

[tex] \displaystyle \: MAD = 0.42[/tex]

Pregunta completa:

Una caja contiene lápices azules y rojos. ¿Cómo se interpreta que la relación entre

los lápices azul y rojo en la caja es 3: 1?

A Hay tres lápices rojos y un lápiz azul.

B Hay tres lápices azules y un lápiz rojo.

C Hay tres veces más lápices rojos que azules.

D Hay tres veces más lápices azules que rojos.

Responder:

B Hay tres lápices azules y un lápiz rojo.

Explicación paso a paso:

Si se le da eso; La relación entre los lápices azul y rojo es de 3: 1

El primer número en la expresión de razón representa el color del lápiz indicado primero en la expresión

Por lo tanto ;

Lápiz de color azul = 3

Lápiz de color rojo = 1

Por lo tanto, hay tres lápices azules y un lápiz rojo.

Answer:0.75

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation:

9 inches to feet is 0.75

0.75 as a fraction is 3/4

Answer:

D

Step-by-step explanation:

180-43=137

Answer:

180 - (43 + 56) = 81 (angle 1)

180 - 81 = 99 (angle 2)

180 - 56 = 124 (angle 3)

180 - 43 = 137 (angle 4)

Step-by-step explanation:

Answer: 6 boards

Step-by-step explanation:  If you convert 2/3 into ninths by multiplying by 3/3 you will get 6/9.  You can then easily see that 6/9 has 6 individual 9ths or 6 boards to cut.

Answer:

[tex]x^{3}[/tex]

Step-by-step explanation:

in powers:

when there is x to the power of 6 to the power of 6 as an example you should multiply 6x6=36

so in this one try to do it like the one up there

6*[tex]\frac{1}{2}[/tex]=3 so it is [tex]x^{3}[/tex]

Answer:

y = -[tex]\frac{5}{3}[/tex] x -2

Step-by-step explanation:

The line is going down to the right so it has the negative slope, with a y- intercept of (0, -2) and a slope of m = rise/run = -5/3

Answer:

area = 120.7 cm²

Step-by-step explanation:

net area = area of rectangle - area of semi-circle

area = (19 x 7.5) - 1/2(3.14)(4.5²)  

area = 152.5 - 31.8 = 120.7 cm²

The triangle is an isosceles right triangle, and the true statements about the triangle are

The given parameters are:

Angle = 90 degrees

Two side lengths = 5 cm

Given that one of the angles is 90 degrees, then it means that the triangle is a right triangle.

Also since two sides are equal, then the triangle is an isosceles triangle, and the other angles are 45 degrees each

Hence, the true statements about the triangle are (a), (c) and (e)

Read more about isosceles right triangles at:

https://brainly.com/question/9164906

Answer:

+4√5

Step-by-step explanation:

Note that this is a right triangle.  Therefore, the lengths of the three sides are related through the Pythagorean Theorem:  a^2 + b^2 = c^2, where c is the length of the hypotenuse.  

Thus, x^2 + 19^2 = 21^2, or, after solving this for x^2,

x^2 = 441 - 361 = 80

x is therefore +√80, or +4√5.

Answer:

13 Cans

Step-by-step explanation:

If the lengths of the ceiling are 52 feet, the area would be 2704 square ft. 2704÷208=13

Se trata de 12.6. Espero que esto haya ayudado!

Answer:

$362.64

Step-by-step explanation:

Assuming that "S" represents the money in U.S. dollars, we are given the starting amount as 270 pounds.

We first need to convert the pounds into euros, since £1 = €1.11

So all we have to do is £270 × €1.11 = €299.70

Then, we need to convert euros into dollars, since €1 = $1.21

So all we have to do here is €299.70 × $1.21 = $362.637

Which rounds to $362.64

Answer:

Decrease

Step-by-step explanation:

50 is bigger than 20, so it's decreasing and the units are the same.

Answer:

28, let me know if you got it right

Answer:

Perimeter of rectangle = 4x + 80

Area = x² + 40x + 384

Step-by-step explanation:

Perimeter of rectangle = 2*(length + width)

                                      = 2* (x + 24 + x + 16)

                                      = 2*( x +x + 24 + 16)    {Combine like terms}

                                      = 2* (2x + 40)

Use Distributive property : a*(b +c) = a *b + a*c

                                     = 2*2x + 2*40

                                     = 4x + 80

Area of rectangle = length * width

                             = (x + 24) (x + 16) {use FOIL method}

                            = x*x + x*16 + 24*x + 24*16

                             = x² + 16x + 24x + 384  {Combine like terms}

                             = x² + 40x + 384

Answer: 4units^2

Step-by-step explanation:

B*H/2

4*2/2= 4

So 4units^2 is the area

Answer:

4 unit²

Step-by-step explanation:

Here,

base = 2

height = 4

Area of the triangle = 1/2 x base x height

= 1/2 x 2 x 4

= 4 unit²

Answer:

D

Step-by-step explanation:

i think it D because I look up

13cm, 7cm 6cm it a lil close to Sorry if u wrong

Answer:

A11 = 230.66015625

Step-by-step explanation:

hi!

the first thing that you have to do when solving for the 11th term in a geometric sequence is to find the common ratio!

I did this by dividing 6/4 = 3/2 (I did multiply this by 6 to test if it was correct, and it was)

the next thing you can do is use this formula:

An = A1*r^(n-1)

An = the nth term of the sequence

A1 = the first term in the sequence

r = common ratio

n = the number of term that you are solving for

A11 = 4*(3/2)^(11-1)

A11 = 4*(3/2)^10

A11 = 230.66015625

Answer:

The answer is x = -11

Answer:

8x+207=6x+185

8x-6x=185-207

2x=-22

divide by 2

x=-11

Answer:

1 batch

Step-by-step explanation:

Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.

4.8 + 5.6 = 10.5 pounds per soup

10.5*2 = 21 > 20 pounds

Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.

Answer:

5r + 2

Step-by-step explanation:

9r-5r+2+r=5r+2

\mathrm{Group\:like\:terms}

=9r-5r+r+2

\mathrm{Add\:similar\:elements:}\:9r-5r+r=5r

=5r+2

Answer: Isosceles acute

Step-by-step explanation:

A acute triangle has all angles less than 90 degrees. An isosceles triangle have 2 equal sides