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3 years ago

What is a mother function

Mathematics

1 answer:

zmey [24]3 years ago

7 0

A mother function is the simplest function of a family of functions.

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Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob left some time later driving

Aleks04 [339]

Let $x$ represent Jose's drived distance and $y$ represent Rob's.
So what you need to do is to solve the equation:
$40x=48*5$
$40x=240$
$x=240/40=6$

So Jose drove for 6 hours before Rob caught him.

4 0

3 years ago

A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and

Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

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

The equation is a secant function represented by

$y =A\sec(Bt)$

Where:

A represents the amplitude

So, we have:

$A = 40$ --- the distance of the light from each square wall

B represents the period, and it is calculated as:

$B = \frac{2\pi}{T}$

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

$B = \frac{2\pi}{6}$

Simplify

$B = \frac{\pi}{3}$

Substitute values for A and B in $y =A\sec(Bt)$

$y = 40\sec(\frac{\pi}{3}t)$

Rewrite as a function

$d(t) = 40\sec(\frac{\pi}{3}t)$

Hence, the equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0

2 years ago

(-6,8); perpendicular to y = -3/2x -1

UNO [17]

Answer:

$y = \frac{2}{3} x + 12$

Step-by-step explanation:

$y = - \frac{3}{2} x - 1$

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.

Thus, gradient of given line= $- \frac{3}{2}$ .

The product of the gradients of perpendicular lines is -1.

(Gradient of line)(-3/2)= -1

Gradient of line

$- 1 \div ( - \frac{3}{2} ) \\ = - 1( - \frac{2}{3} ) \\ = \frac{2}{3}$

Substitute m= $\frac{2}{3}$ into y=mx+c:

$y = \frac{2}{3} x + c$

To find the value of c, substitute a pair of coordinates.

When x= -6, y= 8,

$8 = \frac{2}{3} ( - 6) + c \\ \\ 8 = - 4 + c \\ c = 8 + 4 \\ c = 12$

Thus, the equation of the line is $y = \frac{2}{3} x + 12$ .

7 0

3 years ago

Fully simplify only sing positive exponents: <br><br> 3xy^2/9x^8y^6

GuDViN [60]

Answer:

Step-by-step explanation:

3/9 = 1/3

xy^2/x^8y^6 = 1/x^(8-1)y^(6-2) = 1/x^7y^4

therefore, 1/3x^7y^4

5 0

3 years ago

Read 2 more answers

Can someone help me? I attached the question on here, I could really use some help.

frosja888 [35]

I'd say the bottom answer is the best answer

3 0

3 years ago