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3 years ago

5

Indicate whether the functions an exponential growth or decay

1 answer:

Darina [25.2K]3 years ago

7 0

A function of the form A(t) = Cat where a > 0 and a 1 is an exponential function. The number C gives the initial value of the function (when t = 0) and the number a is the growth (or decay) factor. If a > 1, the function represents growth; If 0 < a < 1, the function represents decay.

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I need help please help me thanks please

Vitek1552 [10]

so we have a table of values, with x,y coordinates, so let's use any two of those points to get the slope of the table and use the point-slope form to get its equation

$~\hspace{2.7em}\stackrel{\textit{let's use}}{\downarrow }\qquad \stackrel{\textit{and this}}{\downarrow }\\\begin{array}{|lr|r|r|r|r|}\cline{1-6}x&0&1&2&3&4\\y&-1&3&7&11&15\\\cline{1-6}\end{array}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\(\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{15})$

$\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{15}-\stackrel{y1}{3}}}{\underset{run}{\underset{x_2}{4}-\underset{x_1}{1}}}\implies \cfrac{12}{3}\implies 4\\\\\\% point-slope intercept\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{4}(x-\stackrel{x_1}{1})\\\\\\y-3=4x-4\implies y = 4x-1\implies \blacktriangleright y = 4x+(-1)\blacktriangleleft$

4 0

3 years ago

Write 5^4 in standard form

AfilCa [17]

Answer:

625

600+20+5

Step-by-step explanation:

<em>Parenthesis</em>

<em>Exponent</em>

<em>Multiply</em>

<em>Divide</em>

<em>Add</em>

<em>Subtract</em>

<em>From left to right.</em>

<em>Do exponent first.</em>

<em> $5^4=5*5*5*5=625$ </em>

<em>Standard form of 5^4 is: ⇒ 600+200+5</em>

<em>625 is the correct answer.</em>

<em>600+200+5 is the correct answer.</em>

4 0

3 years ago

Read 2 more answers

Kite LMNO is shown below. <br><br> What is the measure of angle M

goblinko [34]

Answer:

<M = 78°

Step-by-step explanation:

The sum of angles in a kite is 360°.

One of the properties of a kite is that one pair of opposite angles are equal.

Since it is not <L and <N, it must be <O and <M

Therefore:

<O = <M = x

=> x + x + 130 + 74 = 360

2x + 204 = 360

2x = 360 - 204

2x = 156

x = 156/2 = 78°

This means that <M = 78°

7 0

3 years ago

Trigonometry and Geometric Modeling; the ratios, which are called trigonometric ratios, include __________, ____________, and __

Margarita [4]

Answer:

Sine, cosine and tangent

Step-by-step explanation:

Given a right triangle you can find the sine (or cosine, or tangent) of either of the non- 90° angles.

4 0

2 years ago

N is the middle integer of three consecutive positive integers.

abruzzese [7]

Answer :

$\boxed{\textsf{ The final answer is \textbf{n}$^{\textbf{3}}$ .}}$

Step-by-step explanation:

Its given that n is the middle out of the three consecutive integers . So ,

<u>The </u><u>last</u><u> </u><u>integer</u><u> </u><u>will</u><u> </u><u>be</u><u> </u><u>:</u><u>-</u><u> </u>

$\sf\implies Last \ Integer \ = \ n - 1$

<u>The </u><u>next</u><u> </u><u>Integer</u><u> </u><u>will</u><u> be</u><u> </u><u>:</u><u>-</u>

$\sf\implies Next \ Integer \ = \ n + 1$

Now the Question says that the three integers are multipled to give a product . So that would be.

$\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}$

Now thirdly it's given that n is added to the given integer . That would be ,

$\sf\implies Adding\ n = \ n^3 - n + n = \pink{n^3}$

Here - n and +n gets cancelled. So we are ultimately left out with n³.

Hence the final number is a cube of some number.

6 0

3 years ago