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3 years ago

10

Fast! Which of the following are characteristics of the graph of the square root

1 answer:

svetlana [45]3 years ago

3 0

Answer:

Only choices B and C are correct.

Step-by-step explanation:

The square root parent function is $f(x)= \sqrt{x}.$

The function $f(x)$ is not a linear function, therefore it's graph cannot be a straight line. This rules out choice A.

The function $f(x)$ is defined at $x=0$ because $f(0)= \sqrt{0} =0$ . This means that choice B is correct.

The function $f(x)$ is only real for values $x\geq 0$ , because negative values of $x$ give complex values for $f(x)$ . This means that choice C is correct.

The function $f(x)$ can take only positive values which means it is confined to only the I quadrant, and is not defined in quadrants II, III, and IV. This rules out Choice D.

Therefore only choices B and C are correct.

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determine the householder transformation that annihilates all but the first entry of the vector [1 1 1 1 ]t. specifically, if (

Stolb23 [73]

Answer:

v=a+ 2e1= [3 1 1 1] $x^{T}$ .

Step-by-step explanation:

Let a = $^{}$ $\left[\begin{array}{ccc}\\1&1&1\\\end{array}\right] ^{T}$ and we know that $\alpha$ =±║α║₂= 2.

As we have gone over in class, the formula for v is v= a- $\alpha$ e1

with the sign of chosen to avoid subtraction. This gives v=a+ 2e1= [3 1 1 1] $x^{T}$ .

Disclaimer ;The question is incomplete

Question:

Determine the Householder transformation that annihilates all but the first entry of the vector[1 1 1 1]>Specifically, if

$I-2vv^{T}/v^{T}v\left[\begin{array}{ccc}1\\1\\1\\1\end{array}\right]$ == $\left[\begin{array}{ccc}\alpha \\0\\0\\0\end{array}\right]$

what are the values of α and v?

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1 year ago

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Daniel [21]

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2 years ago

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Nataliya [291]

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3 years ago

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Ksju [112]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

2 years ago