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3 years ago

15

What is the solution set of the following equation? -5x + x + 9 = -4x + 12

1 answer:

podryga [215]3 years ago

7 0

A linear equation with one variable, x, is an equation that can be written in the standard form a x+b=0 where a and b are real numbers and a≠0. For example. 3x−12=0. A solution to a linear equation is ...Answer:

Step-by-step explanation:A linear equation with one variable, x, is an equation that can be written in the standard form a x+b=0 where a and b are real numbers and a≠0. For example. 3x−12=0. A solution to a linear equation is ...

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Which expression represents the phrase, "the quotient of two times a number decreased by six and three"?

Alex73 [517]

I don't know if you have multiple choices, but it could be: 2x-9

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3 years ago

The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?

pashok25 [27]

Answer:

Yes, it is true that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ .

Step-by-step explanation:

Let us try to factorize $x^4+3x^3-2x^2-3x+1$

$x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3$

Let us try to make a whole square of the given terms:

$\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\$

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Formula used above:

$a^{2} -2 \times a \times b +b^{2} = (a-b)^2$

In the above equation, we had $a = x, b = 1$ .

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Further solving the above equation, taking $3x$ common out of $3x^3-3x$

$\Rightarrow (x^2-1)^2+3x(x^2-1)\\$

Taking $(x^{2} -1)$ common out of the above term:

$\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)$

So, the two factors are $(x^2-1)\ and\ (x^2+3x-1)$ .

$\therefore$ The statement that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ is <em>True.</em>

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3 years ago

Who was the first United States president

scoray [572]

The answer is George washington.

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3 years ago

Read 2 more answers

You can work at most 20 hours next week. You need to earn at least $92 to cover your weekly expenses. Your dog-

kicyunya [14]

Answer:

x+y ≤ 20

7.50x+6y ≥ 92

x = dog walking in hours

y = car washing in hours

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3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

KonstantinChe [14]

Step-by-step explanation:

RS = 8 × cos(61°) = 2.9 [1 dp] = 3cm

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3 years ago