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scoundrel [369]
4 years ago
15

How do I algebraically solve |4x-3|=5√(x+4)

Mathematics
1 answer:
Zepler [3.9K]4 years ago
3 0

Answer:

Step-by-step explanation:

|4x-3|=5√(x+4)  ⇔ |4x-3|²=5²(√(x+4))²  and x+4 ≥ 0

                         ⇔ (4x-3)² = 25(x+4)  and x+4 ≥ 0  ( because : /a/² = a²)

                         ⇔16x²-24x+9 = 25x +100  and x+4 ≥ 0

                         ⇔ 16x² -49x - 91 =0 and x+4 ≥ 0 quadratic equation

Δ = (-49)²-4(16)(-91) = 8225

two solution : X1 = (49-√8225)/32  ≅ - 1.3 accept (-1.3+4 ≥ 0)

                     X2 = (49+√8225)/32  ≅4.37 accept (4.37+4 ≥ 0)

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Please help with this!
Klio2033 [76]

Answer:

  • y = 8
  • RS = 51
  • ST = 29

Step-by-step explanation:

(a) You use the fact that the lengths RS and ST total the length RT.

  RS +ST = RT

  (6y+3) +(3y+5) = 80 . . . . . substitute the given values

  9y +8 = 80 . . . . . . . . . . . . .simplify

  9y = 72 . . . . . . . . . . . . . . . .subtract 8

  72/9 = y = 8 . . . . . . . . . . . .divide by the coefficient of y

___

(b) Now, the value of y can be substituted into the expressions for RS and ST to find their lengths.

  RS = 6y +3 = 6·8 +3

  RS = 51

  ST = 3y +5 = 3·8 +5

  ST = 29

___

<em>Check</em>

  RS +ST = 51 +29 = 80 = RT . . . . the numbers check OK

5 0
4 years ago
What is the original price of 38.70 dollars when you got a 40% discount?
Pavlova-9 [17]
40% of 38.70= 15.48

15.48+38.70= 54.18
6 0
3 years ago
HELP!! 50 points !!
Alex73 [517]

Answer:2

234.234

Step-by-step explanation:

432

5 0
2 years ago
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The circle has a circumference of 628 inches. Find x. Use π = 3.14.
Ratling [72]

Answer:

x = 99.9

Step-by-step explanation:

628 = 2πx

---> x = 99.9

8 0
3 years ago
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Jordan has 300 pieces of candy. He gives Adrian ¼ pieces, 10% was given to Darien and he gave his little brother 25 pieces. Expl
mihalych1998 [28]

Answer:

300-225=74 pieces

Step-by-step explanation:

1/4 of 300= 75

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total of 75+30+25=225

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3 years ago
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