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Karo-lina-s [1.5K]
3 years ago
7

What are the coefficients for the expression

2%20" id="TexFormula1" title="4x4 + x3 - 2x2 - 6x + 2 " alt="4x4 + x3 - 2x2 - 6x + 2 " align="absmiddle" class="latex-formula">


​
Mathematics
2 answers:
In-s [12.5K]3 years ago
8 0

6x - 2 + 2x = -2 + 4x + 8

Simplifying

6x + -2 + 2x = -2 + 4x + 8

Reorder the terms:

-2 + 6x + 2x = -2 + 4x + 8

Combine like terms: 6x + 2x = 8x

-2 + 8x = -2 + 4x + 8

Reorder the terms:

-2 + 8x = -2 + 8 + 4x

Combine like terms: -2 + 8 = 6

-2 + 8x = 6 + 4x

Solving

-2 + 8x = 6 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x

-2 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0

-2 + 4x = 6 + 0

-2 + 4x = 6

Add '2' to each side of the equation.

-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0

0 + 4x = 6 + 2

4x = 6 + 2

Combine like terms: 6 + 2 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

kirill115 [55]3 years ago
5 0
4x^4+x3-2x^2-6x+2
step by step:

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

2. ((((4•(x4))+(x3))-2x2)-6x)+2 (equation at the end of step 1)

3. equation at the end of step 2:

(((22x4 + x3) - 2x2) - 6x) + 2

4. polynomial roots caclulator:
3.1 Find roots (zeroes) of : F(x) = 4x4+x3-2x2-6x+2
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is 2.

final result:

4x4 + x3 - 2x2 - 6x + 2
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Step-by-step explanation:

51/8 = 6.37

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3 years ago
Write the following number as ratios of integers
s2008m [1.1K]

Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.

We'll let x=7.\overline{6}. We want to cut the 0.\overline{6} bit off completely, so let's create the scalpel that'll let us do that. If x=7.\overline{6}, then we can also say that 10x=76.\overline{6}. Maybe I was lying a bit: the x is our real scalpel here, and 10x is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting x off of 10x) leaves us with:

10x-x=76.\overline{6}-7.\overline{6}\\9x=69

The operation was a success! We can now simply divide either side by 9 to find x = 69/9, which, when reduced by dividing the numerator and denominator by 3, gives us x=23/3

7 0
3 years ago
vlad a economiit o suma de bani.A cheltuit 20 lei pentru felicitari apoi tatal i-a dublat suma. A cheltuit 40 lei pe martioare a
timurjin [86]

He had saved 320 initially

Step-by-step explanation:

Let the amount he saved be 'a'

Amount spent = 20 + 40 + 30

= 90

His grand father gave 50

At the end he has 280

280 = a - 90 +50

a = 280 -50 +90

= 320

He had saved 320 initially

7 0
3 years ago
5 watermelons 6 cantaloupes cost $54. 4 watermelons and 8 cantaloupes $56. how much is a cantaloupe
GREYUIT [131]

Answer:

A cantaloupe costs $4

Step-by-step explanation:

Watermelons = W

Cantaloupes = C

Write given statements as equations

5W + 6C = 54

4W + 8C = 56

Simplify the second equation

4W + 8C = 56

Subtract 8C from both sides of the equation

4W = 56 - 8C

Divide both sides of the equation by 4

W = 14 - 2C

Substitute into second equation

5W + 6C = 54

5(14 - 2C) + 6C = 54

Multiply 5(14 - 2C)

70 - 10C + 6C = 54

Add -10C + 6C

70 - 4C = 54

Add 4C to both sides of the equation

70 = 54 + 4C

Subtract 54 from both sides of the equation

16 = 4C

Divide both sides of the equation by 4

C = 4

A cantaloupe costs $4

5W + 6(4) = 54

Multiply 6(4)

5W + 24 = 54

Subtract 24 from both sides of the equation

5W = 30

Divide both sides of the equation by 5

W = 6

A cantaloupe costs $4

A watermelon costs $6

Hope this helps :)

8 0
3 years ago
Help please!! Show work if possible!
Natasha2012 [34]

Answer:

Please see the attached pictures for full solution.

5 0
3 years ago
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