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e-lub [12.9K]
3 years ago
5

Can you explain please I don’t understand?

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0

don't be alarmed the two lines just mean absolute value, the problem is asking what is m. the problem is asking what number multipyed by 2, subtracted by 1 will give you 3?

2x2=4 right?

so 4-1=3 there!

m=4

so the problem is 2(4)-1=3

i hope i explained well enough!

Ipatiy [6.2K]3 years ago
5 0

|2m-1| = 3 is an absolute value equation and as such translates into two separate, different equations.  Just suppose that the quantity 2m-1 is already positive; then the absolute value operator has no effect on 2m-1.  Thus, in this first case,

2m - 1 = 3, or 2m = 4, or m = 2.  This is one of the two solutions of this absolute value equation.

The other case is where the quantity 2m-1 is negative.  Applying the absolute value operator to this results in -(2m-1), or -2m+1.  We then write -2m+1=3.  Subtracting 1 from both sides of this eqn results in -2m= 2, or m= -1.  This is the 2nd solution of the absolute value equation.

Thus, your solution set is {-1, 2}.


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One pumpkin weighs 7 lb 12 oz. A second pumpkin with 10 pounds 4 ounces. A pumpkin weighs 2 pounds 9 ounces more than the second
Nesterboy [21]

Answer:  30 lbs, 13 oz

This converts to 493 ounces

===============================================================

Explanation:

Pumpkin A weighs 7 lb, 12 oz. Let's convert that to ounces only

1 lb = 16 oz

7 lbs = 112 oz (multiply both sides by 7)

7 lbs, 12 oz = 112 oz + 12 oz .... add 12 oz to both sides

7 lbs, 12 oz = 124 oz

Pumpkin A's weight of 7 lbs, 12 oz is the same as 124 oz

-----------

Do something similar for pumpkin B

1 lb = 16 oz

10 lbs = 160 oz

10 lbs, 4 oz = 160 oz + 4 oz

10 lbs, 4 oz = 164 oz

Pumpkin B weighs 164 oz

-----------

Let's convert the "2 lbs, 9 oz" to ounces only

1 lb = 16 oz

2 lbs = 32 oz

2 lbs, 9 oz = 32 oz + 9 oz

2 lbs, 9 oz = 41 oz

So pumpkin C is 41 ounces heavier compared to pumpkin B

The weight of pumpkin C is 164+41 = 205 ounces

----------

We have these three weights in ounces only

  • Pumpkin A = 124 oz
  • Pumpkin B = 164 oz
  • Pumpkin C = 205 oz

Adding those three ounces only weights leads to

124+164+205 = 493 ounces

The total weight of all three pumpkins is 493 ounces

Now let's convert back to the unit "pounds, ounces"

Divide that result over 16 since there are 16 ounces per pound

493/16 = 30.8125

Ignore the decimal portion. The 30 is the quotient which means 493-30*16 = 13 is the remainder.

In other words,

493/16 = 30 remainder 13

which leads to

493 ounces = 30 pounds, 13 ounces

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

As a check,

1 lb = 16 oz

30 lbs = 480 oz

30 lbs, 13 oz = 480 oz + 13 oz

30 lbs, 13 oz = 493 oz

The answer is confirmed.

8 0
2 years ago
8. Find the values of angles x, y,
Eddi Din [679]

Answer:

option A

Step-by-step explanation:

option A is the correct answer of this question.

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8 0
3 years ago
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katrin [286]

Answer:

81

Step-by-step explanation:

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