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Alex777 [14]
3 years ago
15

Use absolute value notation to represent the distance between x and 8 is no more than 4

Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0
The distance: use absolute value
Between x and 8: x-8

The distance between x and 8: | x-8 |

“is no more than” means it can be that or be less than that, so use ≤

The distance between x and 8 is no more than 4

| x-8 | ≤ 4
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4 years ago
3x+-2y=-6<br> 5x-2y=7<br> how do i solve this Elimination pls
tatuchka [14]

Answer:

x=\frac{13}{2}, y=\frac{51}{4}

Step-by-step explanation:

We\ are\ given,\\3x-2y=-6\\5x-2y=7\\Considering\ this\ system\ of\ equations,\\Let\ 3x-2y=-6\ be\ E_1\\Let\ 5x-2y=7\ be\ E_2,\\Hence,\\Multiplying\ E2\ with\ -1, we\ get:\\3x-2y=-6\\-1(5x-2y)=7*-1\\Hence,\\3x-2y=-6\\-5x+2y=-7\\Now,\\Lets\ add\ E_1\ and\ E_2\ together\\Hence,\\(3x-2y)+(-5x+2y)=(-6)+(-7)\\Hence,\\3x-2y-5x+2y=-13\\Arranging\ And\ Adding\ Like\ terms,\ we\ have:\\3x-5x-2y+2y=-13\\Hence,\\-2x+0y=-13\\-2x=-13\\x=\frac{-13}{-2}=\frac{13}{2}

Now,\ we\ can\ substitute\ x=\frac{13}{2}\ in\ E_1\ or\ E_2,\\But,\\Here,\ we'll\ substitute\ it\ in\ E1,\\Hence,\\Substituting\ x=\frac{13}{2}\ in\ E1,\ we\ have:\\3*\frac{13}{2}-2y=-6\\\frac{39}{2}-2y=-6\\-2y=-6- \frac{39}{2}\\-2y=\frac{-12-39}{2}\\-2y=\frac{-51}{2}\\y=\frac{-51}{2*-2}=\frac{51}{4}\\Hence,\\x=\frac{13}{2}, y=\frac{51}{4}

4 0
3 years ago
Aa please help thanks if you do (:
frosja888 [35]
I believe the answer is 60
8 0
3 years ago
Read 2 more answers
What is polynomail area​
erastova [34]

Answer:

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Step-by-step explanation:

it was pretty simple

5 0
3 years ago
Maria has five more than twice as many hats as Beth. Together they have 26 hats. How many hats does Maria have?
Firdavs [7]
Maria has 19 hats.

b=beth
m=maria
Equations: 2b+5=m
                  b+m=26

plug in 2b+5 for m in equation 2: b+2b+5=26
add like terms: 3b+5=26
subtract 5 from both sides: 3b=21
Divide 3 from both sides: b=7
now plug in 7 for b: 7+m=26
subtract 7 from both sides: m=19
m=Maria
therefore Maria has 19 hats
4 0
3 years ago
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