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Andreas93 [3]
3 years ago
8

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
6 0

Answer:

D: (4,2)

Step-by-step explanation:

Answer on Edge

Sladkaya [172]3 years ago
4 0
For inverse variation, we use the equation y = k/x, again, with k as the constant of proportionality. <span>When one variable increases the other decreases in proportion so that the product is unchanged. Therefore, it would be the last option the correct answer.

y = k / x
2 = k / 4
k = 8</span>
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- 3(1 – n) =-6 - 6n<br> Step by step please if possible
harkovskaia [24]
-3 + 3n = -6 - 6n. Expand the brackets
3n + 6n = -6 + 3. Collect like terms
9n = -3
n = -3/9 = -1/3
5 0
3 years ago
Section 5.2 Problem 6:<br><br>Find the general solution<br><img src="https://tex.z-dn.net/?f=y%27%27%20%2B%206y%27%20%2B%2010y%2
mihalych1998 [28]

Answer:

y=e^{-3t}(A\: cos\: t+B\:sin\:t)

Step-by-step explanation:

<u>Given Second-Order Homogenous Differential Equation</u>

y''+6y'+10y=0

<u>Use Auxiliary Equation</u>

<u />m^2+6m+10=0\\\\(m+3)^2+1=0\\\\(m+3)^2=-1\\\\m+3=\pm i\\\\m=-3\pm i

<u>General Solution</u>

<u />y=e^{pt}(A\: cos\: qt+B\:sin\:qt)\\\\y=e^{-3t}(A\: cos\: t+B\:sin\:t)

Note that the DE has two distinct complex solutions p\pm qi where A and B are arbitrary constants.

4 0
2 years ago
Veronica earns $150 per week plus 3.5% on sales,while Francis earns 6% commission only
marissa [1.9K]

Answer:

a) Veronica earns $276. Francis earns $216

b) $6000

Step-by-step explanation:

Veronica's income would be I= 0.035s +150 where I is income and s is sales while Francis's income would be 0.06s. So for $3600 in sales Veronica earns $276 while Francis earns $216. To find the answer to part b just set the two equations equal to each other and solve for x. so 0.035x + 150 = 0.06x Subtracting 0.035 x from both sides gives 150 = 0.025x. Dividing both sides by 0.025 gives x = $6000

7 0
3 years ago
What is the equation of the line that passes through the points four over 5 , and one over five and then one half , and three ov
Scorpion4ik [409]
Your answer is y = -(13/3)x + 11/3. I have put the brackets to show that the entire fraction is negative, they do not do anything else.
First we need to find the slope of the line using the equation (y2 - y1)/(x2 - x1), so we get (3/2 - 1/5)/(1/2 - 4/5). To make this easier, I did each subtraction separately:
3/2 - 1/5 = 15/10 - 2/10 = 13/10
1/2 - 4/5 = 5/10 - 8/10 = -(3/10)
And then we need to divide 13/10 by -(3/10), so:
13/10 ÷ -(3/10) = 13/10 × -(10/3) = -(130/30) = -(13/3), which is our slope.
Then, we can write the equation y = -(13/3)x + c, and substitute in coordinates:
3/2 = (-13/3 × 1/2) + c
3/2 = -(13/6) + c
c = 11/3
So the final equation is y = -(13/3)x + 11/3.
I hope this helps!
3 0
3 years ago
I need how you found the answers?
lara31 [8.8K]

Answer:

2x + 6 = -18

x + 1 = -11

3x = -36

Step-by-step explanation:

First find the solution! Then you can create your own equations

2x+9=-15

2x=-24

x=-12

Thus u need solutions with:

x = -12

Knowing the equation of a line as:

y = mx + b

we can can start by making y = -12 (our solution)

mx + b = -12

Now we can pick a value for m and b by adding and miltiplying on both sides

We do this to keep both sides equal.

if we make m = 2 and b = 3:

2x + mb = -12*m + 2b

2x + 6 = -24 + 6

2x + 6 = -18

Solving this we also get x = -12, as we expect.

An alternative way to think about it is to imagine that we start with a simple equation and make it more complex. We have our solution:

x = -12  => lets add a b value!

x + b = -12 + b => Lets add a slope (m)

xm + bm = -12m + bm

Giving values for this can give you multiple equation of the same solution.

General Formula:

m(x+b) = m(y+b)

mx + bm = my + bm

8 0
3 years ago
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