All categories

3 years ago

Write and graph the inverse variation in which y = 8 when x = –4.

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

3 0

For this case we have that an inverse variation in a function is given by:
$y = k / x
$
For this case, we must find the value of the constant k.
To do this, we substitute the values of x = -4, y = 8.
We have then:
$8 = k / -4
$
Clearing k we have:
$k = (8) * (- 4)

k = -32$
Substituting the value of k we have that the inverse variation is:
$y = -32 / x
$
Note: see attached image.
Answer:
$y = -32 / x
$
See attached image.

You might be interested in

Solve the equation 30=-5(m+6)+m

notka56 [123]

30 = -5(m+6) + m
30 = -5m - 30 + m
0 = -4m
0 = m

6 0

3 years ago

A system of equations and its solution are given below.

Fittoniya [83]

Answer: Option <span>C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
-3x-18=-15

Sum of the second equation of system A and the first equation multiplied by -3:
(-3x-18)+(3x-7y)=(-15)+(-35)
-3x-18+3x-7y=-15-35
-25y=-50

System B
x+6y=5
-25y=-50 </span>

4 0

3 years ago

Read 2 more answers

Use the rational zeroes theorem to write the

scoundrel [369]

The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

$Y =x^2-23x^2 + 18x+40$

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

$x^2-23x^2 + 18x+40 = 0$

Then after solving it become

$-22x^2 + 18x+40 = 0$

Then take negative sign common from it then

$22x^2 - 18x - 40 = 0$

Make the factors of this quadratic equation

$22x^2 + 22x -40x - 40 = 0$

Now take common values 22x and 40 from the equation then

$22x (x + 1) -40 (x + 1) = 0$

Then it become

$(22x - 40) (x + 1) = 0$

Then the values of x become from the equation is

$x = -1, x= 40/22$

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

Learn more about Quadratic equation here

brainly.com/question/24334139

#SPJ1

8 0

1 year ago

Solve for x in the following angle relationship. Please also identify the type of angles given:

Nuetrik [128]

9514 1404 393

Answer:

x= 10, corresponding

Step-by-step explanation:

Corresponding angles are in the same direction from their respective intersections. Here, the angles are both northwest of the point where the lines cross. The angles are corresponding.

Corresponding angles are congruent, so we have ...

10x +10 = 110

10x = 100 . . . . . subtract 10

x = 10 . . . . . . . . divide by 10

6 0

2 years ago

A stadium brings in $16.25 million per year. it pays football-related expenses of $13.5 million and stadium expenses of $2.7 mil

Ganezh [65]

We have that

Profit margin is calculated by finding the net profit as a percentage of the revenue

Profit margin = [Net profit / Revenue]

Net profit= [Revenue-Cost]

we know that

Revenue = $16.25 million

Cost = $13.5 million + $2.7 million

Net profit = [16.25 million - (13.5 million + 2.7 million)]

Net profit = $0.05 million

Profit margin = 0.05 / 16.25

Profit margin = 0.003077 or 0.3077%

3 0

3 years ago