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2 years ago

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The new releases make up of the available DVDs at a DVD store. The equation below is used to determine the total number of DVDs

(d) in the store.
What is the total number of DVDs in the store?

1 answer:

lilavasa [31]2 years ago

5 0

I’m so sorry I forgot about you texting me lol I just got home and I’m not getting tired

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Shannon states that 7 5/8 - 5 1/3 = 2 4/5 because 7 - 5 = 2, 5- 1 = 4, and 8 - 3 = 5. First, state whether you agree or disagree

skad [1K]

Answer:

Disagree. Actual answer:

Step-by-step explanation:

The answer to the question is in the image below. If you want to subtract mixed numbers with unlike denominators, you need to check the greatest common denominator between all of them.

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2 years ago

Brandon buys a radio for $46.49 in a state where the sales tax is 7%.

zysi [14]

Answer:

Brandon pays $49.74 in total

Step-by-step explanation:

$46.49 x 1.07 = $49.74

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3 years ago

Please follow the directions. Don't round immediate calculations.<br>Please try to get it right

marin [14]

Answer:

well without rounding <em>anything</em><em>,</em><em> </em><em>I</em><em> </em><em>got</em><em> </em><em>511.9999999992</em><em> </em><em>people</em><em> </em>

Step-by-step explanation:

so the ratio I used was 36 people for every 225 people( 225 because in total he asked 225 people) then I divided 3,200 into 225 to see how many times It would fit, the answer was 14.2222222222 then I multiplied that by 36 and my answer was 511.9999999992 people. I hope this helps, I tried to be as accurate as possible.

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3 years ago

2. -6 < -3; Divide both sides by -3

elena-s [515]

The answers for one, two, and three are:
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3 years ago

Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!

Greeley [361]

Answer:

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

$\frac{3}{x + 4} - \frac{1}{x + 3} = \frac{x + 9}{(x^2 + 7x + 12)}$

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

$\frac{3*(x + 4)}{x + 4} - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

$3 - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x + 3)

$3*(x + 3) - \frac{(x + 4)*(x+3)}{x + 3} = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$3*(x + 3) - (x + 4) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$(2*x + 5) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x^2 + 7*x + 12)

$(2*x + 5)*(x^2 + 7x + 12) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}*(x^2 + 7x + 12)$

$(2*x + 5)*(x^2 + 7x + 12) = (x + 9)*(x + 4)*(x+3)$

Now we need to solve this:

we will get

$2*x^3 + 19*x^2 + 59*x + 60 = (x^2 + 13*x + 3)*(x + 3)$

$2*x^3 + 19*x^2 + 59*x + 60 = x^3 + 16*x^2 + 42*x + 9$

Then we get:

$2*x^3 + 19*x^2 + 59*x + 60 - ( x^3 + 16*x^2 + 42*x + 9) = 0$

$x^3 + 3x^2 + 17*x + 51 = 0$

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

$x^3 + 3x^2 + 17*x + 51 = (x + 3)*(x^2 + 17) = 0$

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17

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3 years ago