Use synthetic division to divide x³ + 3x² - 4x - 10 by x - 2
2
1
1
The quotient is:
The remainder is: 2
2
5
3
10
6
-4
>
>
Note: Enter only a number for the remainder, no fraction.
12
2
-10

If the sum of a number and three is ​tripled the result is one less than twice the number. The number is 14.

Write an equation and expressions by defining variables first.

"a number" is x.

Then "the sum of a number and three is tripled" is 3(x+3).

And "five less than twice the number" is 2x - 5.

Set them equal and solve for x.

3(x+3) = 2x -5

3x+9 = 2x-5

x+9 = -5

x = -14

Every aspect of our daily life involves numbers, including the number of rounds we run around the race track, the number of hours we sleep at night, and much more. In mathematics, numbers can be even or odd, prime or composite, decimal, fractional, rational or irrational, natural or integer, real or whole, rational or irrational, or any combination of these.

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If the sum of a number and three is ​tripled the result is one less than twice the number is -10.

Given that,

We have to write an equation and expressions by defining variables first.

Numbers are present in every part of our everyday lives, including the number of laps we complete on the racetrack, the number of hours we sleep at night, and many other things. In math, a number can be even, odd, prime, composite, decimal, fractional, rational, irrational, natural, integer, real, whole, or any combination of these.

Let take "number" is x.

Then from given "the sum of a number x and 3 is tripled" is 3(x+3).

And "twice the number x  and less then 1" is 2x - 1.

Set them equal and solve for x.

3(x+3) = 2x -1

3x+9 = 2x-1

x+9 = -1

x = -1-9

x=-10

Therefore, the number is -10.

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Answer:

A: Tax paid us $1370

B: Total cost= car cost + taxes

$27,400+ $1370

=$28,770

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

3 x 10 = 30

2 x 10 = 20

30 x 20 = 600

Answer:

Step-by-step explanation:

Givens

C is the midpoint of AE

D is the midpoint of BE

DC is given as 46

Remark

Triangle CED is similar to AEB by SAS for similarity

Therefore DC is 1/2 the size of AB

Solution

1/2 AB = DC

1/2 AB = 46          Multiply both sides by 2

AB = 2*46

AB = 92

Step-by-step explanation:

Let the integer be x.

4 times of positive integer = 4x

Twice its square = 2x²

Less by 10

ATQ,

[tex]2x^2-4x-10=0\\\\x^2-2x-5=0\\\\x=3.44, -1.44[/tex]

Hence, this is the required solution.

Answer:

D.

Step-by-step explanation:

Answer:

this person is right the answer is D

Step-by-step explanation:

have a good day good luck on the test

edg 2022

adolf hitlerStep-by-step explanation:

Answer:

go look at my first question

Step-by-step explanation:

Answer: x=8

Step-by-step explanation:

4x+6y=50

4x+6(3)=50

4x+18=50

4x=32

x=8

The value of x when y = 3 in the linear function 4x + 6y = 50 is x = 8.

Use the concept of linear fucntion defined as:

The formula for a linear function is f(x) = mx + b, where m and b are real values. The slope-intercept form of a line is represented by the equation,

y = mx + b.

The given linear fucntion is:

4x+6y= 50

To find the value of x when y = 3,

Substitute y with 3 in the equation and solve for x.

4x + 6(3) = 50

4x + 18 = 50

To isolate x,

Subtract 18 from both sides:

4x = 50 - 18

4x = 32

Now we divide both sides by 4:

x = 32/4

x = 8

Hence,

When y = 3, the value of x in the linear function 4x + 6y = 50 is 8.

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Answer:

10.15

Step-by-step explanation:

Answer:

d=2

c= 5/2

Step-by-step explanation:

Answer:

-5/7 (irreducible)

Step-by-step explanation:

Answer:

with the X you now know you will have to multiply then you need to figure out what the other side of the = sign is with X and you should get your answer!

Step-by-step explanation:

That's all I know Sorry

It took them 4 days to install 480 chairs which means if they were working at a constant rate they got 120 chairs installed daily. with 360 chairs left that means in 3 days they will finish. so overall, it took the workers 7 days to finish, or a week.

7500000 is interest will pay quarterly .

What do compound and simple interest mean?

p = $50000

r = 10%

t = 15 years

interest  =  50000  * 10 * 15 /100

               = 7500000

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The value of given function is  f'(x)=4 e^sin(x)cos (x)

The derivative is what calculus is all about. The instantaneous pace at which a function changes with regard to one of its variables is known as the derivative. Finding the slope of the tangent line to the function at a given point is equal to doing this.

f'(x) =  d/dx ( 4 e^sin(x))

using differential rule d/dx (a x f ) = a x d/dx(f)

f'(x) = 4 x d/dx ( e ^ sin(x))

use the chain rule

f'(x)= 4 x d/dg ( e^g) x d/dx (sin (x))

f'(x)= 4 e^g x d/dx (sin (x))

f'(x)= 4 e^g x cos (x)

f'(x)=4 e^sin(x) x cos (x)

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Answer:

Please check the explanation.    

Step-by-step explanation:

Given the expression

[tex]\:x^3+25\:[/tex]

Please note that the given expression could not factor further.

But, wait!

Let me take a sample expression and factor that sample expression so that you could get an idea of how to factorize the expression

Given the sample expression

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

Breaking the expression into groups

[tex]\:x^2-5x+6=\left(x^2-2x\right)+\left(-3x+6\right)[/tex]

Factor out x from x²-2x: x(x-2)

Factor out -3 from -3x+6: -3(x-2)

                   [tex]=x\left(x-2\right)-3\left(x-2\right)[/tex]

Factor out the common term (x-2)

                   [tex]=\left(x-2\right)\left(x-3\right)[/tex]

Thus, factorizing the expression such as:

[tex]x^2-5x+6=\left(x-2\right)\left(x-3\right)[/tex]      

Answer:

b

Step-by-step explanation:

i did it

Answer:D

Step-by-step explanation:

Shalu is 16 years old.

The equation can be defined as a mathematical term that refers to a situation in which several factors must be considered. It is defined as the state of being equal and is frequently represented as a math expression with equal numbers on either side.

Two expressions joined by an equal sign form a mathematical statement known as an equation.

Shalu's brother was born 2 years before Shalu.  

Shalu's sister was born 4 years after Shalu.  

And the sum of Shalu's brother and sister's age is 30 years. 

Let x be the age of Shalu.  

As Shalu's brother was born 2 years before her = x + 2

As Shalu's sister was born 4 years after her = x - 4.

Therefore,  

x + 2 + x - 4 = 30

2x - 2 = 30

Adding 2 on each side of the equation,

2x -2 + 2 = 30 + 2

2x = 32

Dividing each side of the equation by 2.

2x / 2 = 32 / 2

x = 16

Therefore, Shalu is 16 years old.

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Answer:

40

Step-by-step explanation:

The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,

So, the equation =

n = 5÷1/8

n = 40

Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

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Answer:

A

(x+1)(x-2) / (x-2)(x+3) = (x+1)/(x+3)

The simplification of the given rational expression when x is not equal to 2 or negative 3 is determined as (x + 1)/(x + 3).

The simplification of the given expression when x is not equal to 2 or negative 3 is determined as follows;

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

cancel "x-2" since it is common to numerator and denominator

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

Thus, the simplification of the given rational expression when x is not equal to 2 or negative 3 is determined as (x + 1)/(x + 3).

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Answer:

[tex] BG = 38 [/tex]

Step-by-step explanation:

Based on centroid theorem of triangles:

[tex] BG = \frac{2}{3} \times BF [/tex]

[tex] BF = 57 [/tex]

Plug in the value into the equation

[tex] BG = \frac{2}{3} \times 57 [/tex]

[tex] BG = \frac{2 \times 57}{3} [/tex]

[tex] BG = \frac{114}{3} [/tex]

[tex] BG = 38 [/tex]