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Licemer1 [7]
3 years ago
6

The graph for the equation y=-2x+1 is shown below. If another equation is graphed so that the system has no solution, which equa

tion could that be
Mathematics
1 answer:
12345 [234]3 years ago
5 0
Y=-2x+3 (could be any y-int as long as it has the same slope)

This line is parallel to the original line so they never intersect

Therefore the answer is no solution
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Determine the first four terms of the sequence in which the nth term is a_n=(n+1)!/(n+2)!
Vilka [71]

Answer: Choice B) 1/3, 1/4, 1/5, 1/6

=============================================

Plug in n = 1 to find the first term

a_n = ( (n+1)! )/( (n+2)! )

a_1 = ( (1+1)! )/( (1+2)! )

a_1 = ( 2! )/( 3! )

a_1 = ( 2*1 )/( 3*2*1 )

a_1 = 2/6

a_1 = 1/3

The first term is 1/3. Optionally you can stop here because only choice B has 1/3 listed as the first term, so this must be the answer. However, I'm going to keep going to show how to find the three other terms. This will help confirm why choice B is the answer, and it will be handy for those times when you aren't given multiple choice answers.

------------

Plug in n = 2

a_n = ( (n+1)! )/( (n+2)! )

a_2 = ( (2+1)! )/( (2+2)! )

a_2 = ( 3! )/( 4! )

a_2 = ( 3*2*1 )/( 4*3*2*1 )

a_2 = 6/24

a_2 = 1/4

The second term is 1/4

------------

Plug in n = 3

a_n = ( (n+1)! )/( (n+2)! )

a_3 = ( (3+1)! )/( (3+2)! )

a_3 = ( 4! )/( 5! )

a_3 = ( 4*3*2*1 )/( 5*4*3*2*1 )

a_3 = 24/120

a_3 = 1/5

The third term is 1/5

------------

Plug in n = 4

a_n = ( (n+1)! )/( (n+2)! )

a_4 = ( (4+1)! )/( (4+2)! )

a_4 = ( 5! )/( 6! )

a_4 = ( 5*4*3*2*1 )/( 6*5*4*3*2*1 )

a_4 = 120/720

a_4 = 1/6

The fourth term is 1/6

------------

The first four terms are: 1/3, 1/4, 1/5, 1/6, so that confirms why choice B is the answer.

4 0
3 years ago
what is the second term in a geometric sequence is 50. the forth term in the same sequence is 112.5 what is the common ratio in
Ulleksa [173]
The common ratio is 1.5 50 * 1.5 = 75, 75 * 1.5 = 112.5 etc.
7 0
3 years ago
PLEASE HELP!!! YOU GET 10 BRAINLIST!!!! PLEASE SHOW ALL OF YOUR WORK/HOW YOU GOT THE ANSWER!!!
Mrrafil [7]
The answer is x< 9 so yeah

5 0
3 years ago
Read 2 more answers
Rogue Industries reported the following items for the current​ year: Sales​ = $3,000,000; Cost of Goods Sold​ = $1,500,000; Depr
Nataly_w [17]

Answer:

Rogue's operating income is $770000

Step-by-step explanation:

Given data

Sales​ = $3,000,000

Cost of Goods Sold​ = $1,500,000

Depreciation Expense​ = $170,000

Administrative Expenses​ = $150,000

Interest Expense​ = $30,000

Marketing Expenses​ = $80,000

Taxes​ = $300,000

to find out

operating income

solution

we find income by this formula that is given below

income = Sale - Cost of Goods Sold - Depreciation Expense - Administrative Expenses - Interest Expense -  Marketing Expenses - Taxes

so put now all these value to get the income      

income = 3,000,000 - 1,500,000 - 170,000 - 150,000 - 30,000 - 80,000 - 300,000

hence            

so  Rogue's operating income is $770000

7 0
3 years ago
What is the area of the segment?
vagabundo [1.1K]

Answer:

The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)

3 0
3 years ago
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