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Ann [662]
4 years ago
8

Given the table, find m. Show your work!

Mathematics
1 answer:
musickatia [10]4 years ago
7 0

Answer:

WHERE IS THE TABLE

Step-by-step explanation:


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Find the domain of the rational function.<br><br> C(x) = x+9/X^2 -16
scoundrel [369]

Answer:

Domain = {x : x ≠ 4 , -4}  or  (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Step-by-step explanation:

<u>TO FIND :-</u>

  • Domain of C(x) = \frac{x + 9}{x^2 - 16}

<u>SOLUTION :-</u>

Domain of a function is a value for which the function is valid.

The function C(x) = \frac{x + 9}{x^2 - 16} is valid until the denominator is 0.

So make sure that the denominator must not be 0.

=> x^2 - 16 > 0

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.

  • Add 16 to both the sides

=>x^2 - 16 + 16 > 0 + 16

=> x^2 > 16

=> x > \sqrt{16}

=> \boxed{x > 4} \: or \:\boxed{x > -4}

We can say that <u>4 & -4 can't be domains</u> because these values will make the function undefined.

Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.

<u>CONCLUSION :-</u>

The function will be valid for any value of 'x' except 4 & -4. So in :-

Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Set builder notation , it can be written as → {x : x ≠ 4 , -4}

6 0
3 years ago
Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.
Margaret [11]

The length of AC is 12 units . Option D

<h3>How to determine the length</h3>

The formula for area of a kite is given thus;

Area = \frac{p * q}{2}

Where p and q are the lengths

Area of kite = 48 square units

BD, q = 8 units

AC , p = unknown

Substitute the values

48 = \frac{AC * 8}{2}

Cross multiply

AC * 8 = 48 * 2

8AC = 96

AC = \frac{96}{8}

AC = 12 units

Thus, the length of AC is 12 units . Option D

Learn more about area of a kite here:

https://brainly.in/question/33613094

#SPJ1

5 0
2 years ago
PLEASE HELP ME, LIKE ACTUALLY! The sum of two numbers is 193. One of them in 71 more than the other. Find the larger of these tw
3241004551 [841]

Answer:

132

Step-by-step explanation:

X is smaller number

x + 71 is larger number.

x+ (x+71)=193

2x = 193-71

2x=122

x=61

x+71=largest number

61+71=132 largest numher

check answer

x+(x+71)=193

61+132=193

5 0
3 years ago
Read 2 more answers
If axb=0, then a=0 or b=0<br> 3x=0
stepladder [879]

Answer:

The given equation is

ax b= 0,

As we see that, it is a linear equation in one variable containing two constant.

So , a≠ 0 [then equation has no meaning.If a=0 , then 0 \times x=0, which is meaningless]. ∴ a=0 is incorrect.

Similarly , b≠ 0 [ Reason same as above]. ∴b=0 is incorrect.

⇒3 x=0

⇒x=0 is the correct response.

Let me explain by this giving an example

⇒5 x=0

⇒ x=0 but 5≠0

So, x=0 or 3 x=0 is correct response.





4 0
4 years ago
How do you add two negative decimals together?.
Elodia [21]

Answer:

-and a -= a positive

Step-by-step explanation:

-8+-9=19

4 0
3 years ago
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