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Kruka [31]
4 years ago
10

Which situation represents 25 x + 500 ≥ 50 x + 250?

Mathematics
1 answer:
inessss [21]4 years ago
4 0

Answer:

move 50x on to the other side then move 500 to the other side too so that it reads 25x-50x *sign*250-500

Step-by-step explanation:

-25x*sign*-250 divide both sides by 25so answer x*sign*100

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3 years ago
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Need explanation 20 points<br> The function f is such that f(x) = 2x - 6<br> Find f^-1(x)
Dvinal [7]

HEYA! <3

Explanation :

<u>GIVEN </u> :

  • f(x) = 2x - 6

<u>TO </u><u>FIND</u><u> </u> :

  • Inverse of f(x) i.e f ^{ - 1} (x)

<u>S</u><u>OLUTION </u> :

FOLLOW THESE THREE STEPS :

  • LET Y = f(x)

\longrightarrow \tt{y = 2x - 6}

\longrightarrow{ \tt{ \: 2x - 6 = y}}

  • MAKE X A SINGLE TERM IN LHS SIDE

\longrightarrow{ \tt{2x = y + 6}}

\longrightarrow{ \tt{x =  \frac{y + 6}{2} }}

  • INTERCHANGE THE VALUE OF X AND Y

\longrightarrow{ \tt{y =  \frac{x + 6}{2} }}

Hence ,

\boxed{ \boxed{ {f}^{ - 1} (x) =   \sf{ \bold{ \frac{x + 6}{2} }}}}

Hope I helped!

Have a wonderful day / night !

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4 0
3 years ago
A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find t
Elenna [48]

Answer:

Length: 12 cm

Width: 8 cm

Height; 7 cm

Step-by-step explanation:

We are told that the areas of 2 of the faces are 84cm² and 56cm².

Now, the side faces are 4 in total with 2 each having same areas.

Thus, it means they would have the same height.

Let's find the highest common factor between 84cm² and 56cm².

The highest number that can be divide each equally is 7.

Thus;

12 × 7 = 84 cm²

8 × 7 = 56 cm²

This means, the bottom part will measure 12 cm by 8 cm.

Thus, the complete measurement is;

Length: 12 cm

Width: 8 cm

Height; 7 cm

Let's check if it will give us a Volume equal to that given.

Thus;

Volume = 12 × 8 × 7 = 672 cm²

This is same as that given and so our dimensions are correct.

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Step-by-step explanation:

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