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ioda
3 years ago
6

What are the discontinuities of the function f(x) = x^2+2x-24/6x+24?

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0

Answer:

  a vertical asymptote at x=-4

Step-by-step explanation:

f(x)=\dfrac{x^2+2x-24}{6x+24}=\dfrac{(x+6)(x-4)}{6(x+4)}

The binomial denominator factor is not canceled by a numerator factor, so represents a vertical asymptote at x=-4. That is the only discontinuity

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−0.85 – (−1.9) +– 2.06
sveticcg [70]

Answer:

−1.01

Step-by-step explanation:

Simplify the expression!

7 0
3 years ago
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Suppose James randomly draws a card from a standard deck of 52 cards. He then places it back into the deck and draws a second ca
qwelly [4]

Answer:

1.92%

Step-by-step explanation:

The probability for first case, picking a queen out of deck, will be:

\frac{4}{52}

as there will be 4 queens in a deck, one of each suit.

For the second pick, the probability of picking a diamond card, will be:

\frac{13}{52}

here the total will remain 52 as he has replaced the first card and not kept it aside and there will be 13 cards in diamond suit (including the three face cards).

Thus the net probability for both cases will be:

P = \frac{4}{52}  * \frac{13}{52}\\ P = \frac{1}{52}\\ P = 0.01923\\P = 1.923\%\\\\P = 1.92\%

Thus total probability for the combined two cases will be 1.92%

7 0
3 years ago
What is x?
iren2701 [21]
X = 5 - 

-7x  - 3x + 2 = -8x - 8
+ 7x                 +7x
-3x + 2 = -x - 8
+3x        +3x
2 = 2x -8
+8       +8
10 = 2x
/2      /2
x = 5
7 0
3 years ago
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6x^+4(x^-1) simply this question
Nadusha1986 [10]
1. when you see 4(x² - 1), then you have to multiply 4 with everything in the bracket. keep in mind that you always have to be cautious of the sign whether it is a positive or a negative.

positive ×/÷ positive = positive
negative ×/÷ negative = positive
positive ×/÷ negative = negative
negative ×/÷ positive = negative

^ you have to remember this.

2. only like terms (same alphabet) can plus or minus each other.

3. simplify by taking out the common factor and placing it outside the bracket.

6 0
3 years ago
PLEASE!!!!!!!!!!!!!!!!!!!!THIS IS DUE TODAY
rjkz [21]

3 + 1.75m

This represents 1.75 per mile plus a one time 3 charge.

Another way this can be written is

(1.75m + 6) - 3

This is a less efficient way, but represents the same. It is 1.75 per mile, this is plus 6, therefore we add the -3 outside the parenthesis so it evens out to +3 as the base charge.

Example: Lets say its 3 miles.

3 + 1.75 (3) = 8.25

(1.75 (3) + 6) - 3 = 8.25

6 0
3 years ago
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