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Liono4ka [1.6K]
3 years ago
7

The coefficient of x in the expansion of the following is (x+3)^3 a) 1 b) 3 c) 18 d) 27 e) 9

Mathematics
1 answer:
VashaNatasha [74]3 years ago
3 0

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

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1 point
Dovator [93]

Answer:

70x + 100

Step-by-step explanation:

Trust me on this one

6 0
2 years ago
The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two peopl
fenix001 [56]

Answer:

between 222 and 223 days

Step-by-step explanation:

This relation includes the point (0, 2).

A proportional relation must include the point (0, 0).

This is not proportional, but it may be linear.

Points: (0, 2), (2, 20)

y = mx + b

20 = (20 - 2)/(2 - 0) × 2 + b

20 = 18/2 × 2 + b

b = 2

y = 18x + 2

When 4000 people know, y = 4000.

y = 18x + 2

4000 = 18x + 2

3998 = 18x

x = 3998/18

x = 222.111...

Answer: between 222 and 223 days

8 0
2 years ago
Triangle KLM was dilated according to the rule
Anna35 [415]

Answer:

The statement that is true is;

The vertices of the image are closer to the origin than those of the pre-image

Step-by-step explanation:

The dilation rule is 0.75(x,y)= (0.75x, 0.75y)

 K (-4,4)----------( 0.75*-4,0.75*4)-------K' (-3,3)

 L (2,4)-----------(0.75*2,0.75*4)---------L' (1.5,3)

M (-2,2)----------(0.75*-2,0.75*2)--------M' (-1.5,1.5)

4 0
3 years ago
Read 2 more answers
Jakes elevation decreases 350 meteors as he rides his bike to the bottom of the hill he completes the ride in 5 equal stages how
andrew-mc [135]

Answer:

70 decreases each stage

Step-by-step explanation:

350 / 5 = 70 decreases each stage

Since all decreases are equal and in 5 stages:

decreases * stages = total decreases

                     70 * 5 = 350

3 0
3 years ago
S(x)= 22x-8 and f(x)= -5. What is s(x) x f(x)?
zloy xaker [14]
-110x+40
You need to use the distributive property for this problem
You multiply 22x times -5 (which is -110x) and -8 times -5 (which is 40) to get -110x+40
6 0
3 years ago
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