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Nana76 [90]
3 years ago
14

Write an expression that is equivalent to 123x + x + 2x

Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0
This simplified is 126x so that is equivalent to this expression
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Regardless of the policy name, the two types of life insurance are
Rudiy27

Answer:

Level term and decreasing term

Step-by-step explanation:

level- Death benefit stays the same during the course of the policy term.

term-death benefit drops usually in one year increments over the course of the policy term.

3 0
3 years ago
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
Wendy jogs a 5.5-mile route in the city with her running club once a week. She also jogs a nature trail near her home once a wee
Readme [11.4K]

Answer:

7 miles in all

Step-by-step explanation:

1

5.5

+1.5

= 7.0

8 0
3 years ago
Using a simulator at space​ camp, you practice landing your individual spaceship on landing platforms that have different shapes
Mila [183]

The Area of the platform is 33m²

Step-by-step explanation:

As the question says, the height of vertex from the base (D from AB) is 7m whereas the height of left vertex from the base (E from AB) is 4m

Thus it means the height of the Δ DCE (DX)= 7-4 ⇒3m

Since the platform is five-sided, the figure can be broken down into constituting parts

  1. Parallelogram ║ABCE
  2. Δ DCE

Are of the figure= Area of ║ABCE+ area Δ DCE

Area of ║ABCE= breadth * height

= 6*4 ⇒24m ²

Area Δ DCE= ½*(base)(height)

Putting the value of base is 6m and height as 3m

Area Δ DCE= ½*6*3

=9m ²

Total area= 24+9= 33m ²

3 0
3 years ago
John runs 500 feet in 1 minute. Identify the correct conversion factor setup required to compute John's speed in inches per seco
slavikrds [6]

Answer:

see the procedure

Step-by-step explanation:

Remember that

1\ ft=12\ in

To convert feet to inches multiply by 12

1\ min=60\ sec

To convert minutes to seconds multiply by 60

we have

500\frac{ft}{min}=500(\frac{12}{60})=500(\frac{1}{5})=100\frac{in}{sec}

7 0
3 years ago
Read 2 more answers
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