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1 year ago

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Which of the following graphs model exponential functions? Select all that apply.

1 answer:

Kitty [74]1 year ago

8 0

The graphs model exponential functions will remain positive. Then the correct options are A and D.

<h3>What is an exponent?</h3>

Let a be the initial value and x be the power of the exponent function and b be the increasing factor. The exponent is given as

y = a(b)ˣ

If the initial value a is positive and x is positive, then the graph of the exponent function will approach infinity as x increases.

If the initial value a is positive and x is negative, then the graph of the exponent function will approach zero as x increases.

The graphs model exponential functions will remain positive.

Then the correct options are A and D.

More about the exponent link is given below.

brainly.com/question/5497425

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Which relationship has a zero slope?

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B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.

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2 years ago

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Ronch [10]

Answer:

<h2> </h2><h2> ${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$ </h2>

Step-by-step explanation:

<h3><em><u>Question</u></em><em><u>:</u></em><em><u>-</u></em></h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

<h3><em><u>As</u></em><em><u> </u></em><em><u>we</u></em><em><u> </u></em><em><u>know</u></em><em><u>:</u></em><em><u>-</u></em></h3>

<em>As</em><em> </em><em>in</em><em> </em><em>Bin</em><em>omial</em><em> </em><em>theorem</em><em> </em><em>:</em><em>-</em>

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3><em><u>Solution</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em></h3>

$= {(4t - 3)}^{5}$

<em>Hence</em><em>,</em><em> </em><em>on</em><em> </em><em>using</em><em> </em><em>the</em><em> </em><em>Binomial</em><em> </em><em>theorem</em><em>,</em><em> </em>

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

<em>On</em><em> </em><em>formatting</em><em> </em>

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

<em>On</em><em> </em><em>further</em><em> </em><em>formatting</em><em>.</em><em> </em>

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em>

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

6 0

2 years ago

between 9 p.m. and 6:36 a.m., the water level in a swimming pool decreased by 6/25. assuming that the water level decreased at

Licemer1 [7]

Answer:

The hourly drop between the two times is 1/40

Step-by-step explanation:

Firstly, we need to find the difference in time between 9 pm and 6:36 am

That would be 9 hours and 36 minutes

It would be needed to convert 36 minutes to hours

Mathematically, 60 minutes = 1 hour

So 36 minutes = (36 * 1)/60 = 36/60 = 0.6

So the difference between the two time is simple 9.6 hours

So the total drop during the time is given by 6/25

So the hourly drop will be 6/25 divided by 9.6

= 6/25 * 1/9.6 = 6/240 = 1/40

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3 years ago

(SAT prep) Find the value of x in each case of the following exercises:

yKpoI14uk [10]

The value of x from the figure is 70°

<h3>How to determine the value</h3>

It is important to note that alternate angles are equal and angles in a triangle sum up to 180°

We then have that,

x + 50 + 60 = 180 °

x + 110 = 180°

Make 'x' subject

x = 180 - 110

x = 70 °

Thus, the value of x from the figure is 70°

Learn more about alternate angles here:

brainly.com/question/24839702

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8 0

1 year ago