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notsponge [240]
2 years ago
15

Helppppppppppppppppppppppppppppppp

Mathematics
1 answer:
NemiM [27]2 years ago
4 0
The first answer, subtract 6 from 27, then divide by 3
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<img src="https://tex.z-dn.net/?f=%20x%20-%202%5Csqrt%7Bx%20-%203%20%3D%200%7D%20" id="TexFormula1" title=" x - 2\sqrt{x - 3 = 0
GrogVix [38]

Answer:

No Real Solutions

Step-by-step explanation:

So we have:

x-2\sqrt{x-3}=0

First, determine the domain restrictions. The expression under the radical cannot be less than 0. Therefore:

x-3\geq 0\\x\geq 3

Therefore, our final answers must be greater than or equal to 3:

Now, going back to the original equation, subtract x from both sides:

-2\sqrt{x-3}=-x

Now, square both sides:

4(x-3)=x^2

Distribute:

4x-12=x^2

Subtract 4x and add 12 to both sides:

0=x^2-4x+12

This isn't factor-able. Let's use the quadratic formula. a is 1, b is -4 and c is 12:

x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}

Substitute:

x=\frac{4\pm\sqrt{(-4)^2-4(1)(12)}}{2(1)}

Simplify the radical:

x=\frac{4\pm\sqrt{-32}}{2(1)}

The number under the radical is negative. In other words, there are no real solutions.

7 0
2 years ago
A stero in the shape of a triangle pyramid has a height of 6 inches The area of the base of the speaker is 11 square inches
horsena [70]

Answer: 22 inch

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How many calories are in 1 cup of chocolate ice cream
rusak2 [61]

Answer: 286 Calories

Step-by-step explanation: Hope this helps ;)

8 0
2 years ago
The sample mean is x = 12.8%. let x be a random variable that represents the percentage of wheat crop in that county lost to hai
katen-ka-za [31]
Given that \bar{x}=12.8\% and \sigma=5.0\%, given that the population mean is \mu=11\% and the sample size is n = 16, the test statistic is given by

z= \frac{\bar{x}-\mu}{\sigma/\sqrt{n}}  \\  \\ = \frac{12.8-11}{5/\sqrt{16}}  \\  \\ = \frac{1.8}{5/4} = \frac{1.8}{1.25}  \\  \\ =1.44 \\  \\ \Rightarrow p-value=p(z\ \textgreater \ 1.44) \\  \\ =1-P(z\ \textless \ 1.44)=1-0.92507 \\  \\ =0.07493

Since the test is a two tailed test, the p-value is 2(0.07493) = 0.14986

Since the p-value is greater the significant level of α = 0.01, thus, we fail to reject the null hypothesis and conclude that there is no sufficient evidence that <span>the percentage of wheat crop lost to hail in that county is different from the national mean of 11%</span>.
8 0
3 years ago
50 POINTS!!! <br> Which function is shown on the graph below?<br> See photo
Volgvan

Answer:

C. y=\sqrt{2x-6}+1

Step-by-step explanation:

From the graph of the function, we can see that the domain of the function is x\ge 3, the range of the function is y\ge 1.

Consider the parent function y=\sqrt{x}.

The domain of this function is x\ge 0, the range of this function is y\ge 0.

The function y=\sqrt{2x-6}+1 has

the domain

2x-6\ge 0\\ \\2x\ge 6\\ \\x\ge 3

and the range

y\ge 0+1\\ \\y\ge 1

All other options have different domain, or the range, or both the domain and the range.

4 0
2 years ago
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