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Zolol [24]
3 years ago
5

Determine what values makes this rational expression undefined x+1/x^2+2x-24

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

The expression ...

... (x+1)/(x²+2x-24)

will have a zero denominator when

... x² +2x -24 = 0

... (x +6)(x -4) = 0 . . . . . factored form

... x = -6, x = 4 . . . . . . . values of x that make the factors zero

The rational expression will be undefined when x = -6 or x = 4.

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What is x?<br><br> 3-2x=21<br><br> Show the steps?
JulsSmile [24]

Answer:

x = -9

Step-by-step explanation:

3-2x=21

-3       -3

-2x=18

/-2   /-2

x=-9

3 0
4 years ago
The half-life of a radioactive isotope is 10 years. About how long would it take 5 grams of the isotope to decay until there wer
valkas [14]

Answer:

Option A. 10 years

Step-by-step explanation:

we know that

Half-life (t^{\frac{1}{2}}) is the amount of time required for a quantity to fall to half its value as measured at the beginning of the time period.

In this problem  (t^{\frac{1}{2}}) of a radioactive isotope is 10 years, which means that after 10 years half of the sample would have decayed and half would be left as it is.

After 10 years ( first half life) 5/2 = 2.5 g decays and 2.5 g remains left

8 0
3 years ago
Jessica wants to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her c
kifflom [539]

Answer:

i believe it should be E

Step-by-step explanation:

domain is x

range is y

since x is the number of days (0-30) the domain would be [0,30]

for y since she is decreasing 40 every two days that would be 15 days x 40 calories which is 600 (on 30th day)

subtract 600 from 2500 = 1900

so the range would be [1900,2500]

7 0
4 years ago
Which of the following is a factor of x2 − 21x + 110?
ludmilkaskok [199]
X² - 21x + 110
first you break it up into two parenthesis & since x is squared you need two x's 
since 110 is positive and 21 is negitive, both of your signs need to be negitive
(x - ?)(x - ?)
then you need to think! what are the factors of 110?
Which of these factors add up to 21? those factors go in the parenthesis

Does this Help? Let me know if you need anything!
8 0
3 years ago
Read 2 more answers
I NEED HELP WITH THIS ASAP PLEASE!!!!!!!
monitta

Answer:

f(x) = (x+4)^2 / 2

Step-by-step explanation:

To make a horizontal shift to the left 4 units, we just need to substitute the value of x for 'x+4', then we will have:

f(x) = (x+4)^2

Then, to make a vertical shrink of 1/2, we just need to multiply the function (the new function after being shifted horizontally to the left) by 1/2, then we will have:

f(x) = (x+4)^2 / 2

7 0
3 years ago
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