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Fofino [41]
3 years ago
5

Which graph represents the solutions of 0.8x - 0.6 ≥ 0.9x + 4.1?​

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Solve for x:

0.8x -0.6 ≥ 0.9x +4.1

Multiply both sides by 10 to remove decimals:

8x -6 ≥ 9x +41

Add 6 to both sides:

8x ≥9x + 47

Subtract 9x from both sides:

-1x ≥ 47

Divide both sides by -1 and because you are dividing by a negative number you need to reverse the inequality:

x ≤ -47

The correct graph is A.

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Let f(x) = x2 - 16. Find f-1(x).
Arisa [49]
f(x)=x^2-16

To find f^{-1}(x), (the inverse of the function) you need to first replace the f(x) with y...
y=x^2-16
Then switch the x and the y.
x=y^2-16
Solve for y.
x+16=y^2
Take the square root of each side...
\boxed{y=\pm\sqrt{x+16}}
6 0
3 years ago
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Quadratic factorisation Question, help please.
luda_lava [24]
3x^2 + 5x + 2 

a = 3 , b = 5 , c = 2 

Start by mulitplying a*c = 3 * 2 = 6

Now find two number that multiply to 6 and add up to b or 5 

We could use 2 and 3 because ....

   
3 + 2 = 5 
   3 * 2 = 6

Now you rewrite....

3x^2 + 3x + 2x + 2 

Now pull out common factors...

3x ( x + 1 )  + 2 ( x + 1)

The factors of this expression is ( 3x + 2 ) ( x + 1) 
6 0
3 years ago
3. Machine A packs 4, cartons in 5 hour.
grigory [225]

Answer:

Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.

Step-by-step explanation:

3 0
3 years ago
*HELP ASAP*
k0ka [10]

Using unit concepts, it is found that:

  • a) Grams.
  • b) Grams.
  • c) Grams squared.
  • d) Grams squared.

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

  • For a data-set, the standard deviation has the same unit as the data-set, both for the sample and the population.
  • The variance has the unit squared, both for the sample and the population.
  • For example, if the data-set is in metres, the standard deviation will be in metres while the variance will be in squared metres.

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

In this question, the data-set is in grams.

  • The standard deviation, both for the sample and the population, in items a and b, will be in grams.
  • The variance, both for the sample and the population, in items c and d, will be in grams squared.

A similar problem is given at brainly.com/question/14524219

5 0
3 years ago
1. Name 4 technologies that have helped America develop into a powerful country.
irga5000 [103]
Telephone computers tv microwave
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3 years ago
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