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Kaylis [27]
3 years ago
6

Scientists are studying the frog population in a pond. The function g(x)=14(1.75)x can be used to determine the number of frogs

in a pond after x years. Determine how many frogs will live in the pond after 25 years.
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

A. 0.4

Step-by-step explanation:

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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
Jameson is leading a fundraiser to raise money for a river cleanup event. So far, he has collected $34.16 towards his goal of $2
Bogdan [553]
I think the answer is $110.00
7 0
3 years ago
Need help pls math plsssssssssssssssssssdssssssssssszzssszzzzzzzxxxxxxcgvvhvib
Svetradugi [14.3K]

Step-by-step explanation:

area of a parallelogram is b×h

2.4×1=2.4cm²

I would appreciate if my answer is chosen as a brainliest answer

7 0
3 years ago
0.7+-0.51 please answer
Verdich [7]

Answer:

0.58

Step-by-step explanation:

0.51+0.7=0.58

1+7=8+50=50=0.58

8 0
3 years ago
I need help on this and the first person who answer correctly gets a BRANLIST​
Alborosie

Answer:

It would be D

Step-by-step explanation:

All the coordinates are divided by half.

6 0
3 years ago
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