Solve the equation for the variable 49-2/3x=32-1/6x

The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125

The function in the equation is given as

f(x) = (x+5)^3

Rewrite this function properly

So, we have the following representation

f(x) = (x + 5)³

Solving further, we need to expand the expression into factors

So, we have the following representation

f(x) = (x + 5)(x + 5)(x + 5)

Next, we expand the first two brackets in the equation

This gives

f(x) = (x² + 5x + 5x + 25)(x + 5)

Evaluate the like terms

This gives

f(x) = (x² + 10x + 25)(x + 5)

Solving further, we need to expand the last two brackets

So, we have the following representation

f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)

Evaluate the like terms

This gives

f(x) = (x³ + 15x² + 75x + 125)

Remove the brackets

So, we have

f(x) = x³ + 15x² + 75x + 125

Hence, the function is f(x) = x³ + 15x² + 75x + 125

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Answer:

[tex]d=\sqrt{61}[/tex]

Step-by-step explanation:

The distance is given by the expression[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}[/tex]

Answer:

6 chapters per hour

Step-by-step explanation:

[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]

Hope this helps

Answer:

The Mississippi home

Step-by-step explanation:

I would get the Mississippi home because it has 5 bedrooms with 7 bathrooms, it would be a great home for a family and guest to go to. and it also depends on the condition of the home and the amount of people in you family.

Answer:

L=16xS

Step-by-step explanation:

Answer:

first one: x<9 second: x<3.5 or 7/2

Step-by-step explanation:

first: substract 3 from both sides

second: substract 5 and then divide by 2

Answer:

the equation will be 2y=5x

Answer:

3/7 and 2/7.

Step-by-step explanation:

P(e) = No of favourable outcomes/ Total no of possible outcomes.

total outcomes=3+1+1+2=7.

(1) p(D) = 3/7.

(2)p(A)=2/7

Answer:

A square pyramid has five faces: four triangle faces and one square face.

Step-by-step explanation:

Answer:

check online for more information

Answer:

Missing side = x+2

Step-by-step explanation:

The perimeter of the classroom, 6x+3, is equal to the 4 side lengths added up.

In their first line of work, the first plus sign should be an equal sign as follows:

6x+3 = 3x+1+x+x+?

simplify

6x+3 = 5x+1+?

subtract (5x+1) from both sides

x+2 = ?

There's the length of the missing side.

Answer:

it's 11

Step-by-step explanation:

Answer:

neither of them are

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line starts at -35, meaning that she starts the ascent 35 meters below the surface and goes upwards over time.

Answer:

a

Step-by-step explanation:

the starting point of the graph or also known as the y axis starts at -35

Answer: 4

Step-by-step explanation: +9-(-3)=12

81-78=3

so 12/3=4

all real numbers except the 90 and 270 because of cosx

[tex]\huge \rm༆ Answer ༄[/tex]

The value of x is ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve for x ~

I hope it helped ~

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

The value of x in the given equation is [tex]-\frac{4}{5}[/tex]

From the question,

We are to solve the given equation

The given equation is

[tex]log_{6}(36) = 5x +6[/tex]

This becomes

[tex]log_{6}(6^{2} ) = 5x +6[/tex]

From one of the laws of logarithms, we have that

[tex]log_{x}(x^{2} ) = 2log_{x}(x)[/tex]

and

[tex]log_{x}(x) = 1[/tex]

∴ [tex]log_{6}(6^{2} ) = 5x +6[/tex] becomes

[tex]2log_{6}(6) = 5x +6[/tex]

and

[tex]2(1)= 5x +6[/tex]

[tex]2 = 5x +6[/tex]

Now, subtract 6 from both sides

[tex]2-6 = 5x +6-6[/tex]

[tex]-4 = 5x[/tex]

∴ [tex]x = -\frac{4}{5}[/tex]

Hence, the value of x in the given equation is [tex]-\frac{4}{5}[/tex]

Learn more on solving equations here: https://brainly.com/question/11802986

Answer:

I am not exactly sure of the answer, i am just trying to help

I think the angle O is 135

The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.

I dont know if you understan what i am trying to say

Answer:

24

Step-by-step explanation:

a - and a - make a +

so -3 x -8 becomes positive

so 3 x 8 = 24

Answer:

x=61

Step-by-step explanation:

2x-6+x+3=180

3x-3=180

3x=183

x= 61

Answer:

x>-1

Step-by-step explanation:

8x>2-10

8x>-8

x>-1

Answer:

x>-1

interval notation: (-1,infinty)

well, the numeric difference will be 136 - 80 = 56, now, if we take 80 (original price) to be the 100%, what is 56 (the increase) in percentage off of it?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ 56&x \end{array}\implies \cfrac{80}{56}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x = \cfrac{700}{10}\implies x = \stackrel{\%}{70}[/tex]

Answer:

The first answer is 21x+22.

Second answer is 36+3x.

Third answer is 29x+6.

Step-by-step explanation:

I just simplified

Answer:

I thinck letter c.

Step-by-step explanation:

Because C.

Answer:

x < -5

Step-by-step explanation:

3 ( -2x - 4 ) > 18

→ Expand the brackets

-6x - 12 > 18

→ Add 12 to both sides

-6x > 30

→ Divide both sides by -6

x < -5

Answer:

[tex]\boxed {\boxed {\sf x< -5}}[/tex]

Step-by-step explanation:

We are asked to solve the following inequality for x.

[tex]3(-2x-4) > 18[/tex]

Solve for x by isolating it and performing the inverse operations.

3 is being multiplied by (-2x-4). The inverse operation of multiplication is division. Divide both sides of the inequality by 3.

[tex]\frac {3(-2x-4)}{3} > \frac{18}{3}[/tex]

[tex](-2x-4) > \frac{18}{3}[/tex]

[tex]-2x-4 > 6[/tex]

4 is being subtracted from -2x. The inverse operation of subtraction is addition. Add 4 to both sides of the inequality.

[tex]-2x-4+4 > 6+4 \\[/tex]

[tex]-2x > 10[/tex]

x is being multiplied by -2. The inverse operation of multiplication is division. Divide both sides by -2.

[tex]\frac {-2x}{-2} > \frac {10}{-2}[/tex]

[tex]x> \frac {10}{-2}[/tex]

Since we divided by a negative number, the inequality sign must be flipped.

[tex]x< \frac{10}{-2}[/tex]

[tex]x < -5[/tex]

Answer:77°

Step-by-step explanation:

Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.

[tex]F=\frac{9}{5}C+32[/tex]

[tex]F=\frac{9}{5}25+32[/tex]

[tex]F=45+32[/tex]

[tex]F=77[/tex]

The answer is 77°

Answer:

166

Step-by-step explanation:

83x2(twice the height)

Step-by-step explanation:

that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?

it is zero, if just one of the 3 factors is 0.

and that would happen for

x = 0

x = -6

x = 1

so, A, D and E are correct.

Using the together rate, it is found that:

The together rate is the sum of each separate rate.

In this problem, we have that:

Applying the together rate:

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

[tex]\frac{x + 3 + x}{x(x + 3)} = \frac{1}{2}[/tex]

[tex]4x + 6 = x^2 + 3x[/tex]

[tex]x^2 - x - 6 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 1, b = -1, c = -6[/tex], hence:

[tex]\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-6) = 25[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{25}}{2} = 3[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{1 - \sqrt{25}}{2} = -2[/tex]

We are interested into the positive root, then [tex]x = 3[/tex], [tex]x + 3 = 6[/tex], which means that:

You can learn more about the together rate at https://brainly.com/question/25159431

Hey there!

(5 * 6) * 4

= 30 * 4

= 120

So you’re basically looking for something that’s equivalent to 120

CHOICE A.

5 * (5 * 6)

= 5 * 30

= 150

So, Choice A is probably NOT the answer you’re looking for!

CHOICE B.

4 * (5 * 6)

= 4 * 30

= 120

Choice B. is probably the answer you’re probably looking for.

So, I recommend you to color it apricot. :)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)