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2 years ago

Can someone help me and work it out plzzzz

Mathematics

1 answer:

UkoKoshka [18]2 years ago

6 0

9514 1404 393

Answer:

(c) x ≥ 0
(d) reals ≥ 2

Step-by-step explanation:

The square root is only defined for arguments that are greater than or equal to zero.

√x . . . . defined for x ≥ 0

It will only have non-negative values.

√x . . . . has values ≥ 0

Using these facts, we can answer the questions.

1. The domain is the set of values x may have. The square root function limits the domain to x ≥ 0.

2. The range is the set of values y may have. The square root function is never negative, so the range must be 2 or greater.

y ≥ 2

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statistical models predict that price p( in dollars) of a new smartphone will change according to the function p=900-4t^2. where

Gre4nikov [31]

we are given

$p=900-4t^2$

where

price p( in dollars) of a new smartphone

t is the number of months since January

now, we can solve for t

step-1:

Add both sides by 4t^2

$p+4t^2=900-4t^2+4t^2$

$p+4t^2=900$

step-2:

Subtract both sides by p

$p+4t^2-p=900-p$

$4t^2=900-p$

step-3:

divide both sides by 4

$\frac{4t^2}{4} =\frac{900-p}{4}$

$t^2=\frac{900-p}{4}$

$t^2=225-0.25p$

step-4:

Take sqrt both sides

$\sqrt{t^2} =\sqrt{225-0.25p}$

$t=\sqrt{225-0.25p}$

so, we get

$t=\sqrt{225-0.25p}$ ..............Answer

7 0

3 years ago

Given the set points K+1:(-1,8),(1,0) and (2,5), find the quadratic polynomial interpolate

Sauron [17]

Answer:

The interpolating polynomial is $p(x) = 1-4x+3x^2$ .

Step-by-step explanation:

We want to find a quadratic polynomial $p(x)$ such that $p(-1)=8$ , $p(1)=0$ and $p(2)=5$ . In order to do this let us write $p(x) = a_0+a_1x+a_3x^2$ .

Now, evaluating the polynomial in the points -1, 1 and 2 we get

$\begin{cases} 8 = p(-1) &= a_0-a_1+a_2\\ 0 = p(1) &= a_0+a_1+a_2\\ 5 = p(2) &= a_0+2a_1+4a_2\end{cases}$

This relations give us a linear system of equations:

$\begin{cases} 8 &= a_0-a_1+a_2\\ 0 &= a_0+a_1+a_2\\ 5&= a_0+2a_1+4a_2\end{cases}$

where the $a_0$ , $a_1$ and $a_2$ are the unknowns.

The augmented matrix of the system is

$\begin{pmatrix}1 & -1 & 1 & 8\\ 1 & 1 & 1 & 0\\ 1 & 2 & 4 & 5\end{pmatrix}$

In this matrix it is easy to eliminate the 1's of the first column and get

$\begin{pmatrix} 1 & -1 & 1 & 8\\ 0 & 2 & 0 & -8\\ 0 & 3 & 3 & -3\end{pmatrix}$

From this matrix we can find the values of each unknown. Notice that the second row gives us $2a_2=-8$ that yields $a_1=-4$ .

Then, the third row means $3a_1+3a_2=-3$ that gives $-12+3a_2=-3$ . So, $a_2=3$ .

Finally, the first row is $a_0-a_1+a_2=8$ and substituting is $a_0+7=8$ that yields $a_0=1$ .

Therefore, the interpolating polynomial is

$p(x) = 1-4x+3x^2$ .

8 0

2 years ago

Mr. Beebe asks the question in lines 6-7 ("Does . . .

shusha [124]

Correct option is D. Mr. Beebe asks the question in lines 6-7 ("Does . . .

quietly") primarily in order to note an apparent inconsistency.

Mr. Beebe sounds cynical (though he says he is not) of the fact that Lucy Honeychurch is someone who plays the piano beautifully and likes to live quietly. He believes that one these both qualities will 'mingle'. In the given context, it seems like Beebe believes that a person can not be both: good at music and like to live quietly. He thinks that it is reflects an inconsistency in Lucy's personality. Thus D is the best answer.

The lines of passage were -

Does it seem reasonable that she should play piano so wonderfully, and live so quietly? I suspect that someday she shall be wonderful in both. The water-tight compartments in her will break down,

To learn more about passages from given link

brainly.com/question/12555695

#SPJ4

4 0

1 year ago

What is the value of 9x - 4y if x = 3 and y = 2?

nordsb [41]

Answer:

Step-by-step explanation:

5 0

2 years ago

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I need someone to help me on this Solve -17<-195-r

vampirchik [111]

Answer:

r > -178

Step-by-step explanation:

Solving the equations means to find what "r" can be for the equation to be true.

If the sign < confuses you, you can always write = then change it back.

<u>To find "r", we need to isolate it</u>. To do this, we move "r" to the left side, and every other number to the right side. When you move something to the other side, remember you need to <u>do the reverse operation on both sides</u>.

I want to move -195 first. The opposite is +195.

-17 < -195 - r

-17 + 195< -195 + 195- r Add 195 to both sides. 195 cancels out on the right

-17 + 195 < -r Simplify left right by add 195 to -17

178 < -r The opposite of multiply by -1 is divide by -1.

178/-1 < -r/-1 Divide both sides by -1.

178/-1 < r "r" is isolated now. Simplify left side

-178 < r Answer is found. Put variable on left side. Remember the keep the open side of the symbol facing "r".

r > -178 The solution is when "r" is greater than -178.

5 0

2 years ago

Read 2 more answers