Multiply (6x^3+8)(7x^2+8x+7)

Answer:

A) (2x − 7) (4x² + 14x + 49)

C) (3x + 5) (9x² − 15x + 25)

Step-by-step explanation:

Sums and differences of cubes factor as:

a³ + b³ = (a + b) (a² − ab + b²)

a³ − b³ = (a − b) (a² + ab + b²)

8x³ − 343 is a difference of cubes.

(2x)³ − 7³

(2x − 7) (4x² + 14x + 49)

27x³ + 125 is a sum of cubes.

(3x)³ + 5³

(3x + 5) (9x² − 15x + 25)

Answer:

x=48/8=6

Step-by-step explanation:

simple form

8x-48=0

fractionized

8(x-6)=0

The weight of the other block of wood is 400 grams.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Prasha has five blocks of wood the total weight of all five blocks of wood is 3 kilograms.

4 of the blocks of wood each have a weight of 650 grams.

∴ (4×650) = 2600 grams is the total weight.

So, the weight of the other block of wood is (3000 - 2600) grams.

= 400 grams.

learn more about the unitary method here :

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Answer:

Mass is the appropriate term.

Step-by-step explanation:

Answer:

law enforcement

Step-by-step explanation:

can yall please start answering more questions about the subject

Answer:

no company a gets 3 miles company b gets 5 miles

Step-by-step explanation:

Answer:

-17/60

Step-by-step explanation:

(-1/3)+1/4+(-1/5)

Answer:

x =2, The function g(x) = g(2) = 1

Queremos encontrar y resolver una expresion algebraica para ver cuantos paquetes necesitamos para empacar los vasos.

La solución es 137 paquetes.

Veamos como obtener la solución.

Cada paquete puede sostener 10 vasos, y tenemos un total de 1367 vasos.

Entonces lo que debemos ver es cuantos grupos de vasos tenemos en 1367, esto será simplemente el cociente entre 1367 y 10.

1367/10 = 136.7

El problema ahora es que no podemos sar un 0.7 de un paquete, así que debemos redondear esto al proximo número entero, que es 137.

Así, podemos concluir que se necesitaran 137 paquetes para empacar los 1367 vasos.

Si quieres aprender más, puedes leer.

https://brainly.com/question/21692632

Fun fact:

The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.

Cool right? Here are more fun facts.

1 “I am” is the shortest complete sentence in the English language.

2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.

Like that?

Banging your head against a wall for one hour burns 150 calories.

In Switzerland it is illegal to own just one guinea pig.

$4.15n - ($250 + $2.45n)

Now that we have our expression, let's set it greater than or equal to 0

$4.15n - ($250 + $2.45n) >= 0

Let's simplify the left side.

$4.15n - $250 - $2.45n >= 0.

Combine like terms.

$1.7n - $250 >= 0

Add $250 to both sides.

$1.7n >= $250

Divide both sides by $1.7

n >= 148

You would need to make 148 light sabers to make a positive profit.

Answer:118

Step-by-step explanation:

3!-5!-2!-2! =? IF ! MEANS FACTORIAL, 3! MEANS 3X2X1=6,

-5! MEANS -5X4X3X2X1=-120

-2!= -2X1=-2

-2!=-2X1=-2

PROBLEM BECOMES 6--120-2-2=118

Answer:

3500cm^2

Step-by-step explanation:

Area of a triangle= bxh/2

10x10=100

7x10=70

100x70=7000

7000/2=3500

Answer:

  3500 cm²

Step-by-step explanation:

The given triangle has an area of ...

  A = (1/2)bh = (1/2)(10 cm)(7 cm) = 35 cm²

The area of the enlarged triangle will be 10² = 100 times that, or 3500 cm².

__

You can see this if you use the enlarged dimensions in the area formula:

  A = (1/2)bh = (1/2)(10·10 cm)(10·7 cm) = 100·35 cm² = 3500 cm

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

Answer:

Rational number

Step-by-step explanation:

Rational numbers are defined as the quotient (division result) of two integers

Answer:207

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

10x + 300 = 800

subtract 300 from both sides

10x = 500

divide each side by 10

x = 50

Step-by-step explanation:

First group like terms

10x

[tex]10x + 300 = 800 \\ [/tex]

300 moves and joins 800 on the other side making it negative

[tex]10x = 800 - 300 = 500[/tex]

[tex]10x = 500[/tex]

10 then divides 500

Making the answer x=50

Complete Question

Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for [tex] x = 3[/tex] and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ​?

Answer:

The  generally expression for the slope of [tex]y = 2x^2 + 4x[/tex] is  [tex]y' = 4x +4[/tex]

The graph is shown on the first uploaded image

The  generally expression for the slope of [tex]y=2x^2+4[/tex] is   [tex]y' = 4x[/tex]

Step-by-step explanation:

From the question we are told that

  The  equation of the curve is [tex]y = 2x^2 + 4x[/tex]

First we differentiate the equation

So  

     [tex]y' = 4x +4[/tex]

Therefore the generally expression for the slope tangent to the curve [tex]y=2x^2+4x[/tex] is   [tex]y' = 4x +4[/tex]

The  next step is to substitute for x =  3 and  x =  0.5

So  for [tex]x_1 = 3 [/tex]

    [tex]y' = 4(3) +4[/tex]

     [tex]y' =m_1= 16[/tex]

And  for  [tex]x_2 = 0.5[/tex]

      [tex]y' = 4(0.5) +4[/tex]

       [tex]y' =m_2= 6[/tex]

Here m_1  and  m_2 are slops of the curve

Next we obtain the coordinates of the tangent lines

So  at [tex]x_1 = 3 [/tex]

   [tex]y_1 = 2(3)^2 + 4(3)[/tex]

  [tex]y_1 = 21[/tex]

So the coordinate for the first tangent line is  

    [tex](x_1 , y_1 ) = (3 , 21)[/tex]

At  [tex]x_2 = 0.5 [/tex]      

    [tex]y_2 = 2(0.5)^2 + 4(0.5)[/tex]

=>  [tex]y_2 = 2.5[/tex]

So the coordinate for the second  tangent line is  

    [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex]

Next we obtain the equation for the tangent lines

 So generally the slope is mathematically represented as

        [tex]m = \frac{y - y_1 }{x-x_1}[/tex]

For   [tex](x_1 , y_1 ) = (-3 , 21)[/tex] and  [tex]y' =m_1= 16[/tex]

       [tex] 16 = \frac{y -21 }{x-3)}[/tex]

=>    [tex]y = 16x - 27[/tex]

For  [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex] and  [tex]y' =m_2= 6[/tex]

       [tex] 6 = \frac{y -2.5 }{x-0.5}[/tex]

       [tex]y = 6x -0.5[/tex]

Generally the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) is mathematically evaluated by differentiating  y=2x^2+4 as follows

     [tex]y' = 4x[/tex]

Answer:

x=10000

Step-by-step explanation:

The break even point occurs when costs equal revenue. Write the break-even formula and solve to find

C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.

Answer:B = 200

Step-by-step explanation:multiply both sides by 5

5*1/5 = 5*40

B = 200

Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

Steps to solve:

|2x - 1| + 3 = 6

~Subtract 3 to both sides

|2x - 1| = 3

~Since we are working with an absolute value, one answer will be positive and one will be negative.

2x - 1 = 3

~Add 1 to both sides

2x = 4

~Divide 2 to both sides

x = 2

2x - 1 = -3

~Add 1 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

Answer:

  y = -4

Step-by-step explanation:

We can solve for x to see.

  x(y+4) +5y +20 = 1

  x(y +4) = -19 -5y . . . . . subtract 5y+20

  x = (-19 -5y)/(y +4)

x is undefined (no solution) for y = -4.

Answer:

y = -4

Step-by-step explanation:

If we look at xy + 5y, we see that both terms share a factor of y. This gives us

                                                   y(x + 5) + 4x + 20 = 1

Similarly, 4x and 20 share a factor of 4, giving us

                                                   y(x + 5) + 4(x + 5) = 1

Now we see that these two terms share a factor of x + 5, so factoring gives us

                                                   (y + 4)(x + 5) = 1

Dividing both sides by y+4 gives us

                                                    x + 5 = 1/(y + 4)

Finally, we subtract both sides by 5 to get

                                                    x = 1/(y + 4) - 5

Thus, since we can not have a 0 in the denominator, we see that if y = -4 then x will have no solution. For any other value of y, we can find the solution for x using this equation.

Answer:

B

Step-by-step explanation:

Answer:

1920 ft^2

Step-by-step explanation:

base = 48 ft

height = 48 ft - 8 ft = 40 ft

area = base * height

area = 48 ft * 40 ft

area = 1920 ft^2

Answer:

[tex]f(x) = {x}^{2} - 6x + 9[/tex]

Step-by-step explanation:

If f(x) = (tt)(x), that's essentially squaring t(x) so

[tex]f(x) = {t(x)}^2 \\ f(x) = (-x +3)^2 \\ f(x) = (-x +3)(-x +3) \\ f(x) = -x(-x +3) +3(-x +3)\\ f(x) = x^2 -3x -3x +9 \\ f(x) = x^2 -6x +9[/tex]

Answer:

domain = x

range = y

Answer:

Step-by-step explanation:

ohhh

Answer:

A B and E all fall on the line expressed.

Step-by-step explanation: