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Varvara68 [4.7K]
3 years ago
13

Modeling Exponential Growth and Decay In Exercises 119 and 120, Find the exponential function

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

There is no exponential function passing through (1,1) and (5,5).

Step-by-step explanation:

We have the following exponential function

y = Ce^{kt}

The function passes through these two points:

(1,1): This means that when t = 1, y = 1

(5,5): This means that when t = 5, y = 5.

So

(1,1)

y = Ce^{kt}

Ce^{k} = 1

e^{k} = \frac{1}{C}

(5,5)

y = Ce^{kt}

5Ce^{k} = 1

Ce^{k} = \frac{1}{5}

From above, we have that:

e^{k} = \frac{1}{C}

C\frac{1}{C} = \frac{1}{5}

1 = \frac{1}{5}

1 cannot be equal to 1/5, so this is wrong.

This means that there is no exponential function passing through (1,1) and (5,5).

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-3(6v-3w-5)<br><br>i have to use the distributive property to remove the parentheses ​
Kaylis [27]

Answer:

-18v + 9w +15

Step-by-step explanation:

-3(6v-3w-5)

You can use a table or multiply each term

-3(6v)  + -3(-3w) + -3(-5)

= -18v + (9w) + (15)

= -18v + 9w + 15

5 0
3 years ago
Find the distance between each pair.<br>A ( 2, -1) B ( -6 , 5 )<br><br>A.36<br>B.120<br>C.100
yuradex [85]

Answer:

B. 120  and C. 100   = 0.4 DIFFERENCE Between the two pairs.

Step-by-step explanation:

2/-1 =  -2

-6/ 5 = -1.2

the difference where we divide by  /2 is -1.2 - 2 = 0.8 / 2  = 0.4

0.4 divides into all options ABC however 36 it divides 9 times

120 it divides 30 times

and 100 is divides 25 times.

9/ 0.4 = 22.5 and is wrong

30 / 0.4 = 75

25 / 0.4 = 62.5 and is wrong

therefore B 120 is correct.

5 0
3 years ago
What is this equation in slope-intercept form? -3x-2y=30
marishachu [46]
Y = - 3/2 x - 15

I hope this helps :)
3 0
3 years ago
Can u help me please
SashulF [63]
<h3>Answer: y = -2x+6</h3>

slope = -2

y intercept = 6

=====================================================

Explanation:

Let's find the slope

m = (y2-y1)/(x2-x1)

m = (2-4)/(2-1)

m = -2/1

m = -2

The slope is -2

Let's use this slope along with the first point to get the y intercept

y = mx+b

y = -2x+b ... plug in the slope we found earlier

4 = -2*1+b ... plug in the coordinates of the point (1,4)

4 = -2+b

4+2 = -2+b+2 .... adding 2 to both sides

6 = b

b = 6

The y intercept is 6

The equation y = mx+b turns into y = -2x+6 since m = -2 is the slope and b = 6 is the y intercept.

6 0
3 years ago
‼️Any one of these that any one can figure out would be a big help‼️ ☺️☺️☺️
olchik [2.2K]
For 4 the answer is c
5 0
3 years ago
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