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notka56 [123]
2 years ago
13

Solve 8n + 20 < 6n + 24

Mathematics
2 answers:
Ilia_Sergeevich [38]2 years ago
6 0

Answer: n<2

Step-by-step explanation:

antoniya [11.8K]2 years ago
4 0

Answer:

  n < 2

Step-by-step explanation:

This inequality can be solved the same way the corresponding 3-step linear equation would be solved.

  8n +20 < 6n +24 . . . . . given

  2n +20 < 24 . . . . . . . . step 1, subtract 6n to isolate the variable on the left

  2n < 4 . . . . . . . . . . . . step 2, subtract 20 to separate constants and variable terms

  n < 2 . . . . . . . . . . . divide by the coefficient of the variable

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Tyler and Han are trying to solve this system by substitution: x+3y=-5 9x+3y=3 Tyler's first step is to isolate x in the first e
Lelechka [254]

Answer:

Yes, they can both be solved and get the same answer.

Step-by-step explanation:

<u>Tyler's way:</u>

Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

<u>Han's way:</u>

Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

3 0
3 years ago
4.6x-9.3=27.5 NEED HELP asap
gavmur [86]

Answer:

x=8

Step-by-step explanation:

4.6x-9.3=27.5

      +9.3  +9.3

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

4.6x=35.8

4.6x/4.6       35.8/4.6

x=8

3 0
3 years ago
Read 2 more answers
1/2(5x-6)-1/3(9x-15)+1
djverab [1.8K]

1/2(5x-6)-1/3(9x-5)+1

5/2x-3-3+5+1     distribute

5/2x-6+5+1        combine like terms

5/2

6 0
3 years ago
Read 2 more answers
Guven the following absolute value function sketch the graph of yhe function and find the domain and range. F (x) = |x + 3| - 1
lana66690 [7]

Answer:

See below

Step-by-step explanation:

The graph is formed from f(x) = |x|.

f(x) = |x| is shaped like a V with the vertex at  the origin and the slope of each arm = 1.  Then f(x) = |x + 3| will have the same shape but will be moved 3 units to the left so the vertex  is at (-3,0). The - 1  ( to give f(x) = |x + 3| - 1) translates the whole graph 1 unit down so the vertex is at the point (-3, -1).

The domain is All Real x and the range = All real values of f(x)

equal or greater than -1.

4 0
4 years ago
Find the measure of angle d when angle a is 128 angle b is 126 and angle c is 54
amm1812

Step-by-step explanation:

sum of four angles=360°

a=128

b=126

c=54

d=?,let d=x

128+126+54+x=360°

308+x=360

find like terms

x=360-308

x=52°

7 0
3 years ago
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