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azamat
3 years ago
6

Item 16 The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation t

hat relates x and y. Item 16 The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y.
Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Answer:

k = 2

x = 2y

Step-by-step explanation:

If variables x and y vary directly, this is expressed as;

x ∝ y

x = ky

k is the proportionality constant

Let's assume the value of x and y since we are not given;

x = 20

y = 10

Substitute

20 = k(10)

10k = 20

k = 20/10

k = 2

Hence the constant of proportionality is 2

Substitute i=k = 2 into the equation x = ky

x = 2y

Hence an equation that relates x and y is x = 2y

<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>

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If A and B are independent events, P(A and B) =​
Sergio039 [100]

Answer:

<u>If A and B are independent events, P(A and B) =​ P (A) * P (B)</u>

Step-by-step explanation:

Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.  

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The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:

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4 0
3 years ago
-x+4(x+3)=-12<br>is this never true or always true
rodikova [14]

Answer: Never true.


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7 0
3 years ago
Solve systems of equations by algebraically x-2y=7 <br> 2x+5y =5
Natali [406]

Answer:

(5,-1) or x=5 y=-1

Step-by-step explanation:

I used the substitution method to solve this!

<em>1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.</em>

x-2y=7

(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)

x=2y+7

<em>2. Now take your second equation and plug in what you got for x into the x variable.</em>

2(2y+7)+5y=5

(Multiple 2 by everything inside of the parentheses.)

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(Multiple -2 by -1)

x+2=7

(Move the 2 to the other side in order to get the x by itself.)

x=5

<em>4. If needed, plug in your x and y values into the equations in order to check your answer.</em>

Hope this could help!

8 0
3 years ago
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frozen [14]

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7 0
3 years ago
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