[tex]solve : - \\ \\ factorise \: (x {}^{2} + 30x + 216) \\ \\ please \: help \: [/tex]
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Answer:

The volume of this rectangular prism equals [tex]V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Step-by-step explanation:

In order to solve this question, we have to use the formula provided in the question to find out the volume of the rectangular prism. The formula goes as follows...

V = l × w × h   (where "l" is the length, "w" is the width, and "h" is height.

From the question, we know that...

l = 4x

w = 5x

h = [tex]x^{2} + x + 2[/tex]

Now we just have to substitute all of these values into the equation and we get that...

V = l × w × h

V = 4x × 5x × [tex](x^{2} + x +2)[/tex]

[tex]V = (20x^{2})(x^{2} + x + 2)\\V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Therefore, The volume of this rectangular prism equals [tex]V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

[tex]\Rightarrow V-E+F=2[/tex]

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]

Thus, polyhedron has 30 faces.

Answer:

30

Step-by-step explanation:

its speed of projection is 20 ms^(-1)

Answer:

Solution given:

maximum range=40m

u²sin90°/g=40

u²*sin90°/10=40

u²=40*10

u=[tex]\sqrt{400}=20m/s[/tex]

Answer:

3/ 20

Step-by-step explanation:

4 1/5 × 1/3 - 1 1/4

= 21/5 × 1/3 - 1/5

= 7/5 - 5/4 = 28 - 25/ 20 = 3/20

= 3/20

Answer:

Step-by-step explanation:

Y equals mx plus b

Step-by-step explanation:

Therefore, the factors are x + 6 and 2x − 9.

The factors of the polynomial are (2x-9)(x+6)

Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.

Given is a polynomial 2x²+3x-54, we need to find its factors,

So,

Factors :-

= 2x²+3x-54

= 2x²+12x-9x-54

= 2x(x+6)-9(x+6)

= (2x-9)(x+6)

Hence, the factors of the polynomial are (2x-9)(x+6)

Learn more about factors, click;

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Answer:

[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]

Hello!

2x - 3 > 11 - 5x

2x + 5x > 11 + 3

7x > 11 + 3

7x > 14

x > 14 : 7

x > 2

x = 4 → the solution

Good luck! :)

Answer:your answer should be 2

Step-by-step explanation:

Answer:

3,4

Step-by-step explanation:

Answer:

use average seep hours

top = 77/12 = 6.4 (most)

middle = 6 (middle)

bottom = 50/9 = 5.5 (least)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function is,

f(x) = -x² - 2x - 1

     = -(x² + 2x + 1)

     = -(x + 2)²

Comparing this equation with the vertex form of a quadratic function,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex.

Vertex of the function is (-2, 0)

Leading coefficient of the function = -1

Therefore, parabola will open downwards.

Function will be increasing in the interval (-∞, -2).

Function will be decreasing in the interval (-2, -∞).

Domain of the function → (-∞, ∞)

Range of the function → (-∞, 0]

Answer:

Step-by-step explanation:

edge

Answer:

Uhh what??

Step-by-step explanation:

Do you mean like 1.75 in a decimal form??

Answer:

Sales tax: 402.80 Final cost: 5,702.80

Step-by-step explanation:

Sales price x sales tax rate = sales tax

5300 x .076 (7.6%) = 402.80

Sales price + tax = final cost

5300 + 402.80 = 5702.80

Answer:

A

Step-by-step explanation:

<CPA = 50o                     Given

<FPB = 50o                      Vertically opposite a 50 degree angle

<CPF = 90o                      Given

<CPB = <FPB + <CPF       Given or found

<CPB = 50 + 90                Substitute

<CPB = 140o

Answer:

y = 245/2

Step-by-step explanation:

y = k x^2

Where k is the constant of variation

Let y= 40 and x=4

40 = k *(4)^2

40 = k*16

40/16 = k

5/2 = k

y =5/2 x^2

Let x=7

y = 5/2 (7)^2

y = 5/2(49)

y = 245/2

Answer:

Slope = 2/3

Step-by-step explanation:

See the image attached below.

The red line represents the "run".

The blue line represents the "rise".

Slope = rise/run

Rise = 4 units

Run = 6 units

Slope = 4/6

Simplify

Slope = 2/3

Answer:

A. It acts perpendicular to an object

Answer

(1/6)⁴ = 1/1296

Step-by-step explanation:

robabilty of getting a 5 in a throw of dice is  1/6 . So, the required probability of getting 4 5’s in rolling a dice 4 times is  (1/6)4

Step-by-step explanation:

1+2+3+4+5=14 divided by 5=2.8 so, A.would be your answer.

The inverse of a function can be determined graphically by reflecting the graph over line y =x, the correct option is D.

An inverse of a function can be determined by interchanging variables in the function, y is interchanged by x in an f(x,y) function and then the equation is solved for y to determine the inverse of a function.

The equation is y = 2x+3

The inverse of a function is determined graphically the graph will be reflected in the line y =x.

The graph is attached with the answer.

Therefore, the correct option is D.

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[tex]x = 5 \: and \: y = 1.[/tex]

Step-by-step explanation:

[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]

[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]

Multiply Equation no (1) with 2 and Equation no (2) with 7.

[tex]14 x + 8y = 78.[/tex]

[tex]14x + 28y = 98.[/tex]

[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]

[tex]0x + -20y = - 20[/tex]

[tex] - 20y = - 20[/tex]

[tex]y = \frac{ - 20}{ - 20} [/tex]

[tex]y = 1[/tex]

Substitute the value of "y" in Equation no (1)

[tex]7x + 4y = 39.[/tex]

[tex]7x + 4(1) = 39.[/tex]

[tex]7x + 4 = 39.[/tex]

[tex]7x = 39 - 4[/tex]

[tex]7x = 35.[/tex]

[tex]x = \frac{35}{7} [/tex]

[tex]x = 5.[/tex]

Answer:

[tex] \:   7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]

Hope it helps

Answer:

y=(2/3)x+5/3

Step-by-step explanation:

y-9=2/3(x+7)

y=(2/3)x+14/3+9

The slope of this line is 2/3, and if a line is parallel to this line, their slopes are the same. So the line is:

y=(2/3)x+b (where b is the y-intercept)

We can plug in the values (2,3) into this equation to find b:

3=(2/3)*2+b

3=4/3+b

b=5/3

The equation is: y=(2/3)x+5/3

Answer and Step-by-step explanation:

We are given two functions, f and g. We are asked to find the value of f evaluated at g(x).

Here, we need to plug in every value of x in f(x) with the value of g(x).

f(g(x)) = [tex](x^2)^3-9(x^2)[/tex]

An exponent raised by an exponent results in the exponents multiplying together.

f(g(x)) = [tex]x^6 - 9x^2[/tex]   <- This is the final answer.

I hope this helps!

#teamseas #PAW (Plant And Water)

Answer:

-1 Not in domain

0 In domain

1 In domain

Step-by-step explanation:

The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:

[tex]x\geq0[/tex]

Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;

-1 => less than zero; Not in domain

0 => equal to zero; In domain

1  => greater than zero: In domain

Answer:

For this problem, we need to add to the price of the phone (50 $) the cost of the data usage (which is 0.20 $ per minute).

If he spends on average 200 minutes, we can calculate what that costs by multiplying the number of minutes by the cost of each one: 200 * 0.2 = $40

And we can now add to the $50 the $40: 50 + 40 = $90

Answer:

$40

Step-by-step explanation:

$.20×200=$40

it's pretty simple