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hodyreva [135]
3 years ago
14

Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely wit

h x. In the third function, the relationship between x and y should be neither inverse variation nor direct variation.
Mathematics
2 answers:
xxTIMURxx [149]3 years ago
8 0

1) y = kx . . . . . for some constant k

.. Here y is directly proportional to x , where k is the constant of proportionality


2) y = k/x . . . . for some constant k

.. Here y is inversely proportional to x , again k is the constant of proportionality.


3) y = 2x +52

..

Here y is linearly related to the x , it is neither directly proportional nor inversely proportional.

motikmotik3 years ago
7 0
Asked and answered elsewhere.
brainly.com/question/8880788
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For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.
andriy [413]

Answer:

If k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

The signal of \bigtriangleup determines how many real roots an equation has:

\bigtriangleup > 0: Two real and different solutions

\bigtriangleup = 0: One real solution

\bigtriangleup < 0: No real solutions

In this problem, we have the following second order polynomial:

(k+1)x^{2} + 4kx + 2 = 0.

This means that a = k+1; b = 4k; c = 2

It has one solution if

\bigtriangleup = 0

b^{2} - 4ac = 0

16k^{2} -8(k+1) = 0

16k^{2} - 8k - 8 = 0

We can simplify by 8

2k^{2} - k - 1 = 0

The solution is:

k = 1 or k = -\frac{1}{2}

So, if k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

4 0
3 years ago
Calculate the volume of each of the following prisms.
Mariana [72]

Answer:

The Rectangular prism in the top-left corner is 11,760. The top-middle rectangular prism is 7,938. The top-right rectangular prism is 4,851. The shape that is orange and pink I don't know what it is. The triangular prism on the middle of the page is 11.781. The blue cylinder is 38,936. The green rectangular prism is 23,125. The "clear" rectangular prism on the bottom row is 31,668. The rectangular prism in the bottom right corner is 14,688. That is all, I'm almost 100 percent sure they are all right!

3 0
2 years ago
Nick is now 7 times as old as harry. in 6 years, nick will be 5 times as old as harry. how old will harry be in 6 years?
zalisa [80]
Let,
Harry's age - x then Nick is 7x. 
After 6 years, Harry is  x+6 and Nick is 7x+6
So, 7x+6= 5(x+6)=> 2x = 30-6X = 12
In 6 years, Harry will be 12+6 = 18 years (Ans)



5 0
3 years ago
Read 2 more answers
Math can you please help me with this thank you!
padilas [110]
Tip: whenever y equals a number, the line is horizontal and the slope is 0. if the number equals x, the line will be vertical and there is no slope.
4 0
3 years ago
Geometry
SSSSS [86.1K]
Sorry man, don’t know it, hopefully you get someone who knows
7 0
3 years ago
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