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Elis [28]
3 years ago
6

How many vertical asymptotes does the graph of this function have f(x)=3/(x-11)(x+4)

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

2

Step-by-step explanation:

The function is given as  f(x)=\frac{3}{(x-11)(x+4)}

Vertical asymptotes occur when the denominator is set to 0.

Thus,

(x-11)(x+4) = 0

x = 11 or x = -4

Hence, there are 2 vertical asymptotes

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Donna took twice as long to drive 720 miles and Maple took to drive 200 miles. Find the rates and ties of both if Donna's speed
shepuryov [24]

Answer:

Donna traveled for 8 hours at 90 mph

Maple traveled for 4 hours at 50 mph

Step-by-step explanation:

The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.

7 0
4 years ago
Jeff has 2 dimes. Each day he gets 3 more. Which shows how many he has after (x) days?
balu736 [363]

Answer:

3x+2

Step-by-step explanation:

Jeff starts with 2 dimes (+2). Jeff then gets 3 more dimes for each day or he gets 3 dimes for each x. 3 dimes x times is just 3 times x or 3x. Therefore the answer is 3x+2.

6 0
4 years ago
A^4 * b^7 * a^6 * c
vivado [14]

Answer:

C

Step-by-step explanation:

Becuase 5^5^7^8=666

6 0
3 years ago
OMG plz help me. IDK how to do thisI need help asap
larisa [96]
1)1.10w+2.35(172-s)=294.20
When you solve
1.10x+2.35(172-x)=294.20 solve for x
X water=88
S=172-88=84
2)2t+4(40-f)=100
When you solve
2x+4(40-x)=100 solve for x
X=30 for t
40-30=10 for f
Hope it helps
5 0
4 years ago
What is the simplified form of (6 to the 2nd power +4)-15
Ad libitum [116K]

Answer:

1,281

Step-by-step explanation:

6^4 is 1,296 subtract 15 you get 1,281

6 0
4 years ago
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