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ahrayia [7]
3 years ago
14

Select all the expressions that are equivalent to 24x + 12.

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0

Answer:

2(12x + 6)

-6(-4x - 2)

12(1 + 2x)

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The recursive rule for a sequence is shown.an=an−1+9a1=21 what is the explicit rule for this sequence?
bixtya [17]

Answer:

Meaning of Explicit rule , is the general rule for a sequence.

The given sequence is defined as,

a_{n}=a_{n-1}+9a_{1}-21----(1)

Common Difference(d) of an airthmetic Sequence= N th term - (N-1) th term

                                 =a_{n}-a_{n-1}\\\\=a_{n-1}-a_{n-2}                                            

Equation 1 can be written as,

a_{n}-a_{n-1}=9 a_{1}-21\\\\ d =9a_{1}-21

General rule or explicit rule for this sequence is given as:

a_{n}=a_{1} +(n-1)d\\\\a_{n}=a_{1}+(n-1)(9a_{1}-21)\\\\a_{n}=a_{1}+9na_{1}-21 n-9a_{1}+21\\\\a_{n}=-8a_{1}+21+n(9a_{1}-21)

6 0
3 years ago
35% of what number is 60?
tatyana61 [14]

Answer:

60/35*100 = 171.428571429

Step-by-step explanation:

N/A

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A pilot approaching a 3000-meter runway finds that the angles of depression of the ends of the runway are 14° and 20°. How far i
Amanda [17]
Answer:  The plane is 6,547 feet from the closer edge of the runway.

This is a trigonometry problem that will involve setting up 2 different triangles. One going to the closer edge of the runway and the other going to the far end of the runway.

The constant between the 2 triangles is the height of the plane. You can solve for this is both triangles and set them equal to each other. 

Do that will give you the equation:

x/tan(70) = (x+3000)/tan(76) where x is the distance to the closer end of the runway. 

If you solve that equation, you will get x = 6547 feet.

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Step-by-step explanation:

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Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
Verdich [7]

Answer:

it  will cost $42 for 28

Step-by-step explanation:

8 0
3 years ago
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