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lakkis [162]
3 years ago
12

The Boss Battle, Sole This Math Problem :)

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

x = -7, x = 1

Extraneous Solution: x = -7

Step-by-step explanation:

If |x - 5| is positive

 

        |x - 5| = 2(x + 1)\\\\x - 5 = 2x +2\\\\x - 7 = 2x\\\\-7 = x

If |x - 5| is negative

         |x - 5| = 2(x + 1)\\\\-x + 5 = 2x + 2\\\\5 = 3x + 2\\\\3 = 3x\\\\x = 1

Now, check for extraneous:

|-7 - 5| = 2(-7 + 1)\\\\|-12| = 2(-6)\\\\|-12|=-12

|1-5|=2(1+1)\\\\|-4| = 2(2)\\\\4 = 4

-7 is extraneous because the absolute value of |-12| ≠ -12

-Chetan K

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tigry1 [53]

Answer:

The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

Step-by-step explanation:

This can be determined using the formula for calculating the future value (FV) formula as follows:

FV = PV * (1 + r)^n ................................. (1)

Where;

FV = Future value or the amount the graduate will have at end of 36 months = ?

PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850

r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778

n = number of days = 36 months * 360 days = 12,960

Substituting the values into equation (1), we have:

FV = $2,850 * (1 + 0.0000277777777777778)^12,960

FV = $2,850 * 1.43332224806396

FV = $4,084.96840698229

Approximating to the nearest cent as required, we have:

FV = $4,084.97

Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

5 0
3 years ago
Tìm x <br><br>a,(2x+3x)^2-4x^2=10<br><br>b,(x+2)^-(x-2)(x+1)=3<br><br>c,(2x+3)^-4(x-1)^2=0
mash [69]

Answer:

Step-by-step explanation:

7 0
3 years ago
Andres playsa soccer video game. He earns 3 stars for every goal hs scores and loses 3/4 stars every time he misses the goal. He
bekas [8.4K]

Answer:

Andres has 12 stars.

Step-by-step explanation:

  • 3 stars - 1 goal
  • -3/4 stars - Missed goal
  • Scored 5
  • Missed 4

3 * 5 = 15

He has 15 stars but then misses 4 goals.

3/4 * 4 = 3

He loses 3 stars becuase he missed 4 goals.

15 - 3 = 12

He ends with 12 stars.

6 0
3 years ago
PLEASE I NEED COORDINATES!!! What is the solution of the system? Use the elimination method. 2x+y=206x−5y=12 Enter your answer i
Butoxors [25]

the answer of 2x +y = 20 ;  6x -5y =12

{ explained in image}

8 0
3 years ago
Classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle:
slavikrds [6]

Answer:

It is not a right triangles because 15^2 + 13^2 is NOT EQUAL to 19^2

let x, y, and z be the angles inside the triangle.

Law of cosines says:

19^2 = 13^2 + 15^2 - 2(13)(15)cos x

361 = 169 + 225 - 390 cos x

-33 = -390 cos x

-33/-390 = cos x

11/130 = cos x

x = inverse cosine (11/130)

= 85.14609471338569.....

Per law of sines:

sin x/19 = sin y / 13

(13/19)sinx = sin y

inverse_sine ( (13/19) sin x) = y

y = 42.9810733896016548....

Per law of sines

sin x/19 = sin z / 15

z = inverse_sine( (15/19) sin x)

= 51.8728352950227805....

So it is an acute triangle and yes, these angles add up to 180

8 0
3 years ago
Read 2 more answers
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