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vagabundo [1.1K]
2 years ago
7

Bamboo plants grow rapidly. A bamboo plant is 113 inches tall. Tomorrow it will be 120 inches tall, the next day it will be 127

inches tall, and on the next day it will be 134 inches tall. Write a rule to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 18 days? A ; 232 inches B ; 239 inches C ; 239 inches D ; 232 inches
Mathematics
1 answer:
Allisa [31]2 years ago
3 0
18 x 7 = 126
113 + 126 = 239

239 inches
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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
What is the following sentence written as an expression?" Add the product of 3 and 6 to 4".
N76 [4]
The expression will look like this. (3*6)+4
3 0
3 years ago
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3x + 17 + 5x = 7x + 10
Sphinxa [80]

Answer: x=-3

Step-by-step explanation:

First you add 3x+5x cause they are both variables.They equal 8x.

Then you subtract 7x from both sides to get x+17=10

then you subtract 17 from both sides.

you will get x= -3

Hope that helps!

5 0
2 years ago
Read 2 more answers
Please answer quickly:
mina [271]

You have to move variables on one side and constants on the other   aby - b + b = c + b aby = c + b y = (c + b)/ab

3 0
2 years ago
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After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decrease
Digiron [165]

Answer:

the answer is 5.5

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2 years ago
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