All categories

2 years ago

For which of the following situations would a linear function be a reasonable choice for a mathematical model?

Mathematics

2 answers:

Harman [31]2 years ago

5 0

The third option is the best option.

Airida [17]2 years ago

4 0

The third option is the best fit for the application of a linear model.

In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.

In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.

In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.

You might be interested in

What is the correct choice?

nordsb [41]

The correct choice is D.) No solution

8 0

3 years ago

Theorem 8.18 and the Pythagorean Theorem to find the side lengths of the kite . Write the lengths in simplest radical form and a

Viktor [21]

Answer:

$|WX|=|XY|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units\\|WZ|=|YZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units$

Step-by-step explanation:

<u>Theorem: The diagonals of a kite are perpendicular.</u>

Let O be the point of intersection of the diagonals,

Applying Pythagoras Theorem, in right triangle WOX

$|WX|^2=|WO|^2+|OX|^2\\|WX|^2=3^2+3^2=18\\|WX|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units$

Applying Pythagoras Theorem, in right triangle WOZ

$|WZ|^2=|WO|^2+|OZ|^2\\|WX|^2=3^2+5^2=34\\|WZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units$

4 0

2 years ago

Solve for y. ln(y-1)-ln2=x+ln x

alexandr402 [8]

$ln(y - 1) - ln(2) = x + ln(x)$
$e^{ln(y - 1) - ln(2)} = e^{x + ln(x)}$
$\frac{e^{ln(y - 1)}}{e^{ln(2)}} = e^{x} * e^{ln(x)}$
$\frac{y - 1}{2} = e^{x} * x$
$\frac{1}{2}y - \frac{1}{2} = xe^{x}$
$2(\frac{1}{2}y - \frac{1}{2}) = 2xe^{x}$
$y - 1 = 2xe^{x}$
$y = 2xe^{x} + 1$

3 0

3 years ago

You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve

KonstantinChe [14]

(x cookies) / (23 students - (12/2) students) = 2 cookies per student
[x / (23 - 6)] cookies per student = 2 cookies per student
23 students * (2 cookies per students) - 12 cookies = x cookies
The "students" unit cancels
46 cookies - 12 cookies = x cookies
x cookies = 34 cookies

3 0

3 years ago

Enter the equation of the line in slope-intercept form.

antiseptic1488 [7]

Answer:

ajfbgaulfgsuidglml

Step-by-step example:

4 0

2 years ago