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Rudiy27
3 years ago
6

If f(x) = 2x – 1 and g(x) = 3x + 5, then (f o g)(x) is equal to

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

  (f◦g)(x) = 6x +9

Step-by-step explanation:

Use g(x) as the argument to f(x) and simplify.

  (f◦g)(x) = f(g(x)) = f(3x +5) = 2(3x +5) -1

  (f◦g)(x) = 6x +9

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A boat can travel 120 kilometers on 60 liters of gas. How far can it travel on 197 liters
Inessa [10]

Answer:

394 km

Step-by-step explanation:

197 is 197/60 times as much as 60

so the distance is also that much more: 120 km * 197/60 = 394

8 0
3 years ago
The Apple, Inc. sales manager for the Chicago West Suburban region is disturbed about the large number of complaints her office
ankoles [38]

Answer:

0.6856

Step-by-step explanation:

\text{The missing part of the question states that we should Note: that  N(108,20) model to } \\ \\  \text{ } \text{approximate the distribution of weekly complaints).]}

Now; assuming X = no of complaints received in a week

Required:

To find P(77 < X < 120)

Using a Gaussian Normal Distribution (\mu =108, \sigma = 20)

Using Z scores:

Z = \dfrac{77-108}{20} \\\\ Z = -\dfrac{35}{20} \\ \\  Z  -1.75

As a result  X = 77 for N(108,20) is approximately equal to  to Z = -1.75 for N(0,1)

SO;

Z = \dfrac{120-108}{20} \\ \\  Z = \dfrac{12}{20}\\ \\  Z = 0.6

Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)

Now, to determine:

P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)

From the standard normal Z-table:

P(-1.75 < Z < 0.6) = 0.7257 - 0.0401

P(-1.75 < Z < 0.6) = 0.6856

3 0
3 years ago
Plz help me get the answer to these
Pavlova-9 [17]

Remove the brackets

-5a + 9b + 7a               combine -5a and 7a

7a - 5a + 9b

2a + 9b                        Answer

Don't go any further. There is nothing else to do. These are unlike terms and cannot be reduced or combined.

8 0
3 years ago
Read 2 more answers
Determine whether 5, 226 is divisible by 2,3,4,5,6,9, or 10.
uranmaximum [27]

Answer:

2,3,6

Step-by-step explanation:

5,226   ...(1)

unit digit=6

6 is divisible by 2,

so (1) is divisible by 2.

last two digits=26 ,not divisible by 4,

so (1) is not divisible by 4.

5+2+2+6=15 divisible by 3 but not divisible by 9.

so (1) is divisible by 3 but not divisible by 9.

2×3=6,so (1) is divisible by 6.

unit digit=6≠0 or 5

so (1) is not divisible by 5 or 10.

8 0
3 years ago
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How do we post a picture?
svet-max [94.6K]

Answer:

click on the thing that looks like a paper clip and pick the pic u wanna post

Step-by-step explanation:

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3 years ago
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