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kakasveta [241]

3 years ago

13

Which figures can have all of the properties shown below

1 answer:

yuradex [85]3 years ago

3 0

Answer:

quatrolatiral, square, rectangle

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The graph of ƒ(x) = -√x is shifted to the right five units. The domain of the function represented by this graph is x ≥>≤<

Mars2501 [29]

Answer:

Domain = [5,∞)

Step-by-step explanation:

Given: $f(x)=-\sqrt{x}$

We are given that f(x) is shifted right by 5 units.

Rule : f(x)→f(x-b)

The graph f(x) shifted b units right

So, using rule : $-\sqrt{x}$ → $-\sqrt{x-5}$

So, $g(x)=-\sqrt{x-5}$

Now to find domain:

$x-5>0$

$x>5$

So, Domain = [5,∞).

8 0

3 years ago

The function f is defined by f(x)=5x+k, where k is a constant. Find k, if the value of f at x=2 is equal to 14.

yKpoI14uk [10]

Answer:

k = 4

Step-by-step explanation:

f(x)=5x+k

Let x =2

f(2) = 5*2 +k

f(2) = 10+k

We know f(2) = 14

14 = 10+k

Subtract 10 from each side

14-10 = 10+k-10

4 =k

4 0

3 years ago

Read 2 more answers

Please help me this is very important:

zubka84 [21]

Is this for English it makes no sense at all if anything it should be for math dose not make sense at all........................................................................................................................................

8 0

3 years ago

The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig

natali 33 [55]

Answer:

a) the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

b) $y = 28.36^0 \ C$ ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

$\mathbf{y = A sin (Bt -C)+D}$

where A = amplitude and which can be determined via the formula:

$A = \dfrac{largest \ temperature - lowest \ temperature}{2}$

$A = \dfrac{29-14}{2}$

$A = \dfrac{15}{2}$

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then $\dfrac{2 \pi}{B } =365$

$B = \dfrac{2 \pi}{365}$ ( where 365 is the time period )

The vertical shift is found by the equation D;

D = $\frac{largest \ temperature + lowest \ temperature}{2}$

D = $\frac{29+14}{2}$

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

$y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5$

From the question; when it is 7th of the year ( i.e January 7);

t = 7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

$29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5$

$29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5$

$\frac{29-21.5}{7.5}= sin (\frac{14 \pi}{365} -C)$

$1= sin (\frac{14 \pi}{365} -C)$

$sin^{-1}(1)= (\frac{14 \pi}{365} -C)$

$\frac{\pi}{2}= (\frac{14 \pi}{365} -C)$

$C= (\frac{14 \pi}{365} -\frac{\pi}{2})$

$C= (\frac{28 \pi- 365 \pi}{730} )$

$C= \frac{-337 \pi}{730}$

Thus; the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

$y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5$

$y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5$

$y = 7.5 *( 0.915)+ 21.5$

$y = 6.8689+ 21.5$

$y = 28.36^0 \ C$ ( to two decimal places)

7 0

3 years ago

Read 2 more answers

What is the unit rate in centimeters per month

rjkz [21]

Answer:

The answer is 30 centimeters per month or 30/1

Step-by-step explanation:

Its actually pretty simple I convert it into a linear function which looks like this representing the answer

y=30x

the x represents the # of months

pls mark me as brainliest

8 0

3 years ago