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BartSMP [9]
3 years ago
13

Need help with this ASAP! thank you!

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Answer:

-4x^3 + 9x^2+35x -45

Step-by-step explanation:

The notation (f*g)(x) actually just means f(x)*g(x)

We just substitute what f(x) is and what g (x) is

(4x-9) * (-x^2 - 3x + 5 )

4x * -x^2 = -4x^3

4x * -3x = -12x

4x*5 = 20x

-4x^3 + -12x+20x

and

-9 * -x^2 = 9x^2

-9*-3x = 27x

-9*5 = -45

-4x^3 + -12x+20x + 9x^2 + 27x +-45

Now to put this in standard form, we have to order it with the terms with the highest exponents to the ones with the lowest exponents

-4x^3 + 9x^2 -12x+20x+27x -45

-12x+20x+27x

-12x+47x

35x

-4x^3 + 9x^2+35x -45

-45 goes last because it is equal to -45x^0

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Which of the following is true for the rational function f(x) = x-16/x-4 ?
Ratling [72]
 <span>First of all, F is true because (16 - 16)/(16 - 4) = 0. It just means when you plug in that number (16) you'll get 0. This will NOT happen for 4 because the 0 is in the denominator. 

Look what happens if you have x = 4. This gives you 12/0, which is undefined. For some graphs, this is a hole, but let's look closer. 

What happens if you have x = 3.9? You'll have 12.1/0.1. 3.9999? 12.0001/0.0001. The closer you get to 4, the closer you'll get to y = infinity. 

But what if you have 4.1? 11.9/-0.1. You'll get the same results, but NEGATIVE infinity. So it is NOT a hole in the graph. 

If you draw it out, you'll see that there is a vertical asymptote at x = 4. 

B and F are true. 

As for horizontal asymptotes, look at it like this: y = 16-16/16 - 4 means y = 0. There is no asymptote here. Try subbing in 1 = (x -16)/(x - 4). 
Multiply by x - 4 on both sides 
x - 4 = x - 16 
There is no solution here; there will be an asymptote, so D is also true. 

B, D, and F are true. ,"yahoo answers"//////////////////if i get busted at least i put down my main source (you know what I'm saying)</span>
5 0
3 years ago
Read 2 more answers
7 3/4% as a fraction in simplest form
andriy [413]

this probably isn't right but this is what the internet says 31/400

8 0
4 years ago
Is 5y=x+ (1 over 3) proportional?
icang [17]
No.

The relation is proportional when it can be written as
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As soon as you add a constant, you destroy the proportionality.
8 0
3 years ago
The dimensions of Kara’s bedroom floor are 8 3/4 feet by 10 2/3. What if the area of her bedroom floor
olasank [31]

Answer:

93\frac{1}{3}

Step-by-step explanation:

The area of a bedroom floor is the width multiplied by the length. We know that the length's is 10\frac{2}{3} feet and the width is 8\frac{3}{4} feet. We just multiply the 2 fractions to find the area of her bedroom floor in feet squared

10\frac{2}{3} * 8\frac{3}{4}

→ There area various methods but I am going to use the improper fraction method. First convert the fractions into improper fractions

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→ We can cancel out 4 and 32 with 1 and 8

\frac{8}{3} *\frac{35}{1}

→ Multiply like normal fractions

\frac{280}{3}

→ Convert into mixed fraction

93\frac{1}{3}

6 0
3 years ago
A toxic radioactive substance with a density of 9 milligrams per square centimeter is detected in the ventilating ducts of a nuc
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  Think about what a half-life means as a table.

years amount Left

20 1/2

40 1/4

60 1/8

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Starting at t = 0, the amount left (or density) = (1/2)^(t/20)

For t =35, the decay factor = .297

Since you need to work backwards, divide by that factor.  6 / .297 = 20.18 mg per sq cm

6 0
3 years ago
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