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wlad13 [49]
2 years ago
14

F(x) = 2x - 1 g(x) = - 3x + 2

Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

Answer: − The answer to this problem is x + 3.

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Someone help me out please
uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\   (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4.

2 step (A): simplify to obtain the final radical term on one side of the equation.

-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2.

3 step (F): raise both sides of the equation to the power of 2 again.

(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2.

4 step (E): simplify to get a quadratic equation.

4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0.

5 step (D): use the quadratic formula to find the values of x.

D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}.

6 step (C): apply the zero product rule.

x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}.

Additional 7 step: check these solutions, substituting into the initial equation.

3 0
3 years ago
10.1 and 10.15 witch one is greater
RUDIKE [14]

Answer:

10.15

Step-by-step explanation:

Subtract:

10.15 - 10.1 = 0.05

10.15 is greater than 10.1 by 0.05

~

6 0
3 years ago
Read 2 more answers
Which graph best represents the equation 3x + y = -5?
lara [203]

Answer:

the one that looks closest to this

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
an ice cream shop manager lowered the price for a single scoop of ice cream from 2.50 to 2.00 what is the precent of decrease in
igomit [66]
2.50-2.00=0.5
2.50/0.5= 5 = 100%
2.00/0.5=4 = 80%
100-80= 20%
6 0
1 year ago
2 tacos cost $6. What is the cost for 6 tacos?
ipn [44]

Answer:

2 tacos = $6

1 tacos = $3

6 tacos = 6 X 3

= $18

18$ is the cost for 6 tacos

7 0
3 years ago
Read 2 more answers
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