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sveticcg [70]
3 years ago
15

CHECK ANSWERS -

Mathematics
1 answer:
Tju [1.3M]3 years ago
6 0
Both are correct.

Good job!
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Fill in the table using the graph.
Makovka662 [10]
Find an x value and f(x) is just it's y value. we can start with x=0

when x=0 y= -3

when x= 2 y= -2

and so on, choose easy to read numbers.

you can finish the rest, let me know if you wanna check your answers or if you are stuck.
8 0
3 years ago
Read 2 more answers
Find the domain and range of<br><br> f(x)= (2x+6) / ((x^2)-x-12)
creativ13 [48]

Answer:

Step-by-step explanation:

If you want to determine the domain and range of this analytically, you first need to factor the numerator and denominator to see if there is a common factor that can be reduced away.  If there is, this affects the domain.  The domain are the values in the denominator that the function covers as far as the x-values go.  If we factor both the numerator and denominator, we get this:

f(x)=\frac{2(x+3)}{(x-4)(x+3)}

Since there is a common factor in the numerator and the denominator, (x + 3), we can reduce those away.  That type of discontinuity is called a removeable discontinuity and creates a hole in the graph at that value of x.  The other factor, (x - 4), does not cancel out.  This is called a vertical asymptote and affects the domain of the function.  Since the denominator of a rational function (or any fraction, for that matter!) can't EVER equal 0, we see that the denominator of this function goes to 0 where x = 4.  That means that the function has to split at that x-value.  It comes in from the left, from negative infinity and goes down to negative infinity at x = 4.  Then the graph picks up again to the right of x = 4 and comes from positive infinity and goes to positive infinity.  The domain is:

(-∞, 4) U (4, ∞)

The range is (-∞, ∞)

If you're having trouble following the wording, refer to the graph of the function on your calculator and it should become apparent.

8 0
3 years ago
What are the x-intercepts of the graph of the quadratic function
Svetllana [295]
  • Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.

(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

Now you can rewrite the equation as: 0=(5x-1)(x+1)

Now apply zero product property to the factors to solve for x:

5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>

5 0
3 years ago
The original price of a ski jacket was $270. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off th
igor_vitrenko [27]

25% of $270 is $67.50

10% of $270 is $27.0

 27.0

+67.50

is $94.50

$270 - $94.50 is

$175.50 (Final Answer.)    [I hope this helped you!]

8 0
3 years ago
If p=12 and q=24, evaluate the following expression:p+q/4​
Rus_ich [418]

Answer:

18

Step-by-step explanation:

12+24/4

12+6

18

jdndhdjd

7 0
2 years ago
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