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lorasvet [3.4K]
2 years ago
15

Solve for n. 3 (n 5) ≥ 3n 8 a. no solution b. n ≥ 23 c. n ≥ 7 d. all real numbers

Mathematics
2 answers:
REY [17]2 years ago
8 0
3(n + 5) ≥ 3n + 8
3n + 15 ≥ 3n + 8
3n - 3n ≥ 8 - 15
0 ≥ -7

Therefore, the solution to the inequality is all real numbers.
UNO [17]2 years ago
3 0

Answer:

All real answers.


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Please help. I don't understand​
Andreas93 [3]

Answer:

Length of third side is: \mathbf{8m^3-4m^2+3m}

Step-by-step explanation:

Perimeter of triangle = 18m^3+2m^2-m

Length of side 1= 5m^3+3m^2-2m

Length of side 2= 5m^3+3m^2-2m

We need to find length of third side.

The formula used is: Perimeter \:of\:triangle=Sum\:of\:all\:sides

Putting values and finding length of third side.

Perimeter \:of\:triangle=Sum\:of\:all\:sides\\18m^3+2m^2-m=5m^3+3m^2-2m+5m^3+3m^2-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=5m^3+5m^3+3m^2+3m^2-2m-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=10m^3+6m^2-4m+Length\:of\:3rd\:side\\Length\:of\:3rd\:side=18m^3+2m^2-m-(10m^3+6m^2-4m)\\Length\:of\:3rd\:side=18m^3+2m^2-m-10m^3-6m^2+4m\\Length\:of\:3rd\:side=18m^3-10m^3+2m^2-6m^2-m+4m\\Length\:of\:3rd\:side=8m^3-4m^2+3m

So, Length of third side is: \mathbf{8m^3-4m^2+3m}

5 0
3 years ago
Three functions are given below: f(x), g(x), and h(x). Find the axis of symmetry for each function, and rank the functions based
m_a_m_a [10]

Answer:

Step-by-step explanation:

f(x)=-4(x-2)²+3

put x-2=0

axis of symmetry is x=2

g(x)=-2(x²+8x)+15

=-2(x²+8x+4²-4²)+15

=-2(x+4)²+32+15

=-2(x+4)²+47

put x+4=0

axis of symmetry is x=-4

h(x) is minimum at x=1

axis of symmetry is x=1

3 0
2 years ago
Two brothers, richard and andrew, share a sum £30 in the ratio 3:7. how much does each brother get?
Elina [12.6K]

Answer:

£9,£21

Step-by-step explanation:

richard:andrew=3:7

3+7=10

£30÷10=£3

richard=3×£3=£9

andrew=7×£3=£21

5 0
2 years ago
Read 2 more answers
Solve the system: 10x-9y=8 21y+15x=0.5
artcher [175]

Answer:

x = 1/2 y = -1/3

Step-by-step explanation:

Split it into 2 equations:

10x-9y=8

and

21y+15x=0.5

10x - 9y = 8

Step 1: Divide both sides by 10:

x = (8+9y)/(10)

Substitute x = (8+9y)/(10) into 21y+15x=0.5 :

21y + (3(8+9))/(2) = 0.5

Solve for y

<u>y= -1/3</u>

Substitute y= -1/3 into x = (8+9y)/(10)

<u>x = 1/2</u>

<u />

3 0
2 years ago
PLEASE HELP Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 10
klemol [59]

The complete table will be:

Monday - 100\\ Tuesday-65\\ Wednesday- 120\\ Thursday-150\\ Friday-90\\ Saturday- 0\\ Sunday-175

<u><em>Explanation</em></u>

Suppose, the number of sit-ups in Sunday is x

Mean is the simple average of some numbers. <u>For finding the mean number</u> of sit-ups per day, we need to <u>divide the 'total number of sit-ups' by the 'total number of days'</u>.

Here the total number of days is 7 and the total number of sit-ups for 7 days = 100+65+120+150+90+0+x= 525+x

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175

So, the number of sit-ups you have to do Sunday is 175.

6 0
3 years ago
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