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Licemer1 [7]
3 years ago
8

Suppose that y varies inversely with x. write an equation for the inverse variation.y = 2 when x = 3

Mathematics
1 answer:
erastova [34]3 years ago
7 0
For inverse variation:
y = k/x
2 = k/3
k = 6

Therefore, required equation is y = 6/x
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Write <img src="https://tex.z-dn.net/?f=%28-%20x%5E%7B2%7D%29%20-4x%2B2" id="TexFormula1" title="(- x^{2}) -4x+2" alt="(- x^{2})
marin [14]
Because the coefficient of x^2 is -1, we know that a will be -1.  Knowing that the coefficient of x is -4, we can calculate that p=2.  Thus, we have -1(x+2)^2+q is our equation.  This is equal to -x^2-4x-4+q.  As the constant term must be 2, we can then see that q is 6.

As such, we have -1(x+2)^2+6=0 as our factorization.

To solve this equation, we can use the quadratic formula.  Plugging in values, we have:

\frac{4+-2 \sqrt{6} }{-2}
which is equal to: (when the fraction is simplified)
-2+- \sqrt{6}
7 0
3 years ago
Jeff earns $27,800 per year. What is his bi-monthly gross pay?
taurus [48]
$27,800/6=$4,633.33 if thats every two months if its twice a month them its $1158.33
6 0
3 years ago
Read 2 more answers
What’s the expression 4m - 17 + 3m - 11
Rina8888 [55]
=4m - 17+ 3m - 11
combine like terms
=(4m + 3m) + (-17 - 11)
=7m - 28

This can be factored/simplified by dividing everything by 7
=7(m - 4)

Hope this helps! :)
6 0
3 years ago
WRITE AN COMPOUND INEQUALITY FOR THIS SENTENCE
Mila [183]
Hello there!

Write a compound inequality for this sentence: 'w' is less than 4 and greater than or equal to -8
Only use 'w' once.


W is less than four ~ 4 \ \textgreater \ w

W is greater than or equal to -8 ~ w \geq -8

If we were to put this together, it would look like:

4 \ \textgreater \  w  \geq  -8


I hope I helped!

Let me know if you need anything else!

~ Zoe
7 0
3 years ago
Answer choices:
vova2212 [387]
A and T are points. On their own, they cannot define a line. So we can rule out choice A

WCR and TRA are angles. For any triple the points do not fall on the same straight line. So we cannot define any lines here. This crosses off choice B

Choice C is the answer because WC does define a line. We only need two points to form a line. Similarly CR does the same job. We draw a line marker with two arrows at each end to be placed over the letters to indicate "line". 

Choice D is similar to choice D; however, it is not the answer because WT is the same line as WC. In other words, WC = WT. We haven't named a new line at all. We're simply repeating ourselves. 
6 0
4 years ago
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