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3 years ago

Help please! Appreciate it much.

Mathematics

1 answer:

sergey [27]3 years ago

5 0

The maximum point will be the point which gives the largest f(x,y) value. The "y" is subtracted and being multiplied by 2 so very small y-value, large x is point (5,0).

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Review the table.

Lynna [10]

Answer:

The function that models the scenario is given as follows;

$P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$

Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100

Imputing the given functions from the options into Microsoft Excel, and

$A = P(t) = \dfrac{250}{1 + 24 \cdot e^{-0.5 \cdot t}}$

$B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$

$C = P(t) = \dfrac{750}{1 + 74 \cdot e^{-0.5 \cdot t}}$

$D = P(t) = \dfrac{1000}{1 + 99 \cdot e^{-0.5 \cdot t}}$

solving using the given values of the variable, t, we have;

P t A B ${}$ C D

10 ${}$ 0 ${}$ 10 ${}$ 10 ${}$ 10 ${}$ 10

16 ${}$ 1 ${}$ 16.07021 16.27604 16.34583 ${}$ 16.38095

26 ${}$ 2 ${}$ 25.43466 26.2797 26.574 26.72363

42 ${}$ 3 ${}$ 39.33834 41.89929 42.82868 43.30901

66 ${}$ 4 ${}$ 58.85058 65.51853 68.09014 69.45316

100 ${}$ 5 ${}$ 84.17395 99.55866 106.0177 109.5721

Therefore, by comparison, the function represented by $B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$ most accurately models the scenario.

7 0

3 years ago

Read 2 more answers

Help meh please <br><br> -2/3 ÷ (-15)

pogonyaev

The answer is 0.04444... or 2/45. Whichever is more useful to you.

3 0

3 years ago

Read 2 more answers

A triangle has one side that is 6 units long and another side that is 3 units long.

kiruha [24]

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

<h3>How to determine the possible length of the third side?</h3>

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

brainly.com/question/2403556

5 0

2 years ago

Can Someone Please Help Me With This Question. I'll post a picture of the question

Vedmedyk [2.9K]

Answer:

$y-7=3(x-9)$

Step-by-step explanation:

The form of equation of line given in the problem is the point-slope form of a line. That is given by:

$y-y_1=m(x-x_1)$

We need $y_1$ and m (denoted by boxes)

$y_1$ is the y coordinate of the first set of points.

The first coordinate pair is (9,7), so $y_1$ would be 7

$y_1=7$

Now, the slope (m).

It has formula

$m=\frac{y_2-y_1}{x_2-x_1}$

So, x_1 = 9

y_1 = 7

x_2 = 4

y_2 = -8

Substituting, we get the slope to be:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-8-7}{4-9}\\m=\frac{-15}{-5}\\m=3$

Hence, the equation of the line in point-slope is:

$y-7=3(x-9)$

5 0

2 years ago

Solve 3x^2 + x + 10 = 0 round solutions to the nearest hundredth

lara31 [8.8K]

Answer:

C. X= -2.01 and x= 1.67

Step-by-step explanation:

$3x {}^{2} + x + 10 = 0 \\ 3x {}^{2} + 6x - 5x + 10 = 0 \\ 3x(x + 2) - 5(x + 2) \\ (x + 2)(3x - 5 )\\ x + 2 = 0 \: \: or \: \: 3x - 5 = 0 \\ x = - 2 \: \: or \: \: x = \frac{5}{3}$

4 0

3 years ago

Read 2 more answers