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3 years ago

What is the domain of the function; y= (x-1)2 -2

Mathematics

1 answer:

valkas [14]3 years ago

5 0

It should be 2 but i’m not positive

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PLEASE HELP ASAP i’ll mark brainliest !!!

Murljashka [212]

Answer:

y = 4x-9

Step-by-step explanation:

16x-4y-36 = 0

-4y = -16x+36(subtract 16x from both sides and add 36)\

y = 4x-9(divide both sides by -4)

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3 years ago

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saul85 [17]

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Step-by-step explanation:

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3 years ago

a theater can seat 391 people .the number of rows is 6 less than the number of seats in each row.how many rows of seats are ther

Tema [17]

X(x-6) = 391
x2-6x-391 =0(x-23)(x+17)=0

since the number of seats should be positive,

x = 23

The number of rows is 23 - 6 = 17

( To check our work )

391 / 17 = 23

So, there are 17 rows of seats.

6 0

3 years ago

Can someone help me with algebra 2 with an explanation?

sammy [17]

Answer: This took me a long time to type, hope you read it and find it helpful and easy to understand...

1. $x=1$

2. $x=\frac{3}{2}$

3. $x=1$

4. $x=\frac{6}{5}$

Step-by-step explanation:

$\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}$

To make it easier to add / subtract fractions, we are looking for common denominators. I can see that if I move the fraction on the left with a denominator 3x to the right, I'll be able to add two equations with like denominator.

Let's add $\frac{x-2}{3x}$

$\frac{1}{x}=\frac{4}{3x}+\frac{x-2}{3x}$

Add the numerators and keep the same denominator.

$\frac{1}{x}=\frac{4+x-2}{3x}$

$\frac{1}{x}=\frac{2+x}{3x}$

To get rid of the denominator x on the left side, we can multiply by x.

$(x)\frac{1}{x}=\frac{2+x}{3x}(x)$

$1=\frac{2+x}{3}$

Now multiply by 3.

$(3)1=\frac{2+x}{3}(3)$

$3=2+x$

Subtract 2.

$3-2=x\\1=x$

The value of x is 1.

Proof.

$\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}$

$\frac{1}{1}-\frac{1-2}{3(1)}=\frac{4}{3(1)}$

$1-\frac{-1}{3}=\frac{4}{3}$

$1+\frac{1}{3}=\frac{4}{3}$

$\frac{1*3+1}{3} =\frac{4}{3}\\\frac{4}{3}=\frac{4}{3}$

I can't show the proof to the following problems because I have a 5000 character limit.

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$\frac{5x-5}{x^2-4x} -\frac{5}{x^2-4x}=\frac{1}{x}$

Again, we have like denominators, therefore, we can simply subtract the numerators and keep the same denominator.

$\frac{5x-5-5}{x^2-4x}=\frac{1}{x}$

$\frac{5x-10}{x^2-4x}=\frac{1}{x}$

Again, we can multiply by x to get rid of the x in the denominator.

$(x)\frac{5x-10}{x^2-4x}=\frac{1}{x}(x)$

Do not distribute the x in the numerator yet because we're gonna eliminate it later.

$\frac{(x)(5x-10)}{x^2-4x}=1$

Factor the denominator.

$\frac{(x)(5x-10)}{(x)(x-4)}=1$

Simplify x's.

$\frac{5x-10}{x-4} =1$

Multiply by x-4 to get rid of the denominator.

$(x-4)\frac{5x-10}{x-4} =1(x-4)$

$5x-10=x-4$

Add 10

$5x=x-4+10$

Subtract x

$5x-x=-4+10$

Combine like terms;

$4x=6$

Divide by 4.

$\frac{4x}{4}=\frac{6}{4}$

$x=\frac{6}{4}$

Simplify by 2.

6/2 = 3

4/2 = 2

$x=\frac{3}{2}$

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$\frac{x^2-7x+10}{x}+\frac{1}{x}=x+4$

Same denominator, add numerators.

$\frac{x^2-7x+10+1}{x}=x+4$

$\frac{x^2-7x+11}{x}=x+4$

Multiply by x to get rid of the x.

$(x)\frac{x^2-7x+11}{x}=(x+4)(x)$

$x^2-7x+11=x^2+4x$

Subtract $-x^2-4x$

$x^2-7x+11-x^2-4x=0$

Combine like terms;

$-11x+11=0$

Subtract 11.

$-11x=-11$

Divide by -11

$x=\frac{-11}{-11} \\x=1$

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$\frac{x^2+7x+10}{5x-30}+\frac{x}{x-6}=\frac{x^2-13x+40}{5x-30}$

It's easier if you move the operation with denominator x+6 to the right side with negative sign and bring the operation on the right side to the left side with negative sign as well.

$\frac{x^2+7x+10}{5x-30}-\frac{x^2-13x+40}{5x-30}=-\frac{x}{x-6}$