All categories

2 years ago

If you were to plot y versus m using the equation y = (g/k) m yo, how would you calculate the value for k?

Mathematics

1 answer:

Zanzabum2 years ago

3 0

Equation is given as;

y = (g/k) yo

To find the value of “k”, divide both sides of the equation with yo;

y/yo = (g/k)yo/yo

it implies that;

y/yo = (g/k)

Now following steps will obtain the value of “k” as;

ky/yo = g

ky = gyo

k = gy0/y

You might be interested in

A Mallard duck flies 5 6 of a mile in 1 60 of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

seropon [69]

Important: Please express fractions properly: use the " / " symbol to represent division. Your question should read:

"A Mallard duck flies 5/6 of a mile in 1/60 of a hour. Find the rate (speed) at which it flies."

To do this, divide the distance flown by the elapsed time:
5
5/6 mile -----
----------------- = -------6------------- miles / hr
1/60 hour 
1
-----
60

to divide 5/6 by 1/60, write 5/6 and multiply that by the reciprocal of 1/60.

In other words, write 5/6, invert (1/60) and then multiply.

This comes out to (5)(60)
---------- mph
(6)(1)

Do not multiply here. Instead, reduce 60/6 to 10/1.

Can you now write out the final answer, in mph? (miles per hour)

8 0

2 years ago

Read 2 more answers

Gwen buys 3 identical pairs of shoes at Store a. She pays $110.25 after the discount. what is the original price of each pair?

emmasim [6.3K]

In perspective this looks tricky but really its no ;) just follow it slowly.
110.25 is your total cost
3 is how many you bought.
So doing division 3/110.25= 36.75
CHECK: 36.75 + 36.75 + 36.75 = 110.25.
Hope this helps.

5 0

2 years ago

Read 2 more answers

Juanita wants to perform row operations on the augmented matrix for the system below (See pictures). Which matrix should Juanita

Artist 52 [7]

Answer:

The second option

Step-by-step explanation:

The given system of equation is

x+2y=3

-x+y+z=2

y-2z=-3

The augment matrix is obtained by combining the coefficient matrix with the constant matrix to obtain;

$\left[\begin{array}{cccc}1&2&0&|3\\-1&1&1&|2\\0&1&-2&|-3\end{array}\right]$

Note that the absence of z, in the first equation means its coefficient is zero. The same thing applies to x in the last equation.

The correct choice is the second option.

5 0

2 years ago

Please help!! I need to get this done! Im begging you, brainliest and points!

Viefleur [7K]

Answer:

Solution; ( 1, 0 ), and ( - 3, 4 )

Step-by-step explanation:

See procedure below;

First let us make these two functions ( y = -x + 1 , y = x^2 + x - 2 ) equivalent;

- x + 1 = x^2 + x - 2,

-x - x + 1 + 2 - x^2 = 0,

- 2x + 3 - x^2 = 0,

x^2 + 2x - 3 = 0,

Now factor the simplified equation;

x^2 + 2x - 3 = 0,

( x^2 - x ) + ( 3x - 3 ) = 0,

x ( x - 1 ) + 3 ( x - 1 ) = 0,

( x - 1 )( x + 3 ) = 0,

And solve for x;

x - 1 = 0, and x + 3 = 0,

x = 1, and x = - 3

Now substitute this value of x into the two functions as to receive the y values for each x - value;

y = - ( 1 ) + 1, y = 0 for x = 1,

y = ( - 3 )^2 - 3 - 2, y = 9 - 3 - 2, y = 4 for x = - 3,

Solution; ( 1, 0 ), and ( - 3, 4 )

8 0

2 years ago

Four friends drove from their homes in four different cities to a class reunion.

Alekssandra [29.7K]

You need to figure the mph for each person.

Maren drove 60 mph. No calculating needed there.

S drove 120/3 or 40 mph

T drove 84/1.2 mph or 70 mph

C drove 75/1/5 or 50 mph

The fastest was? (highest number is 70 as in Tomas)

7 0

1 year ago

Read 2 more answers