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3 years ago

Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6

Mathematics

1 answer:

torisob [31]3 years ago

8 0

Answer:

k = 102

Step-by-step explanation:

Inverse variation is represented as follows:

y = k/x

Find k by substituting 17 for y and 6 for x:

17 = k/6

Multiplying both sides by 6 results in k = 102

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Need help for this polynomial question thank you

Cloud [144]

Answer: first of all you are the imposter silly

Step-by-step explanation: ok everyone vote Blue

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3 years ago

which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

2) Find the vertex

The vertex of the function is the point $(-3,-13)$

3) Find the axis of symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

5) Find the x-intercepts of the function

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

The function cross the x-axis twice

see the attached figure

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4 years ago

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In a recent basketball game, the

statuscvo [17]

Answer:

2 points throw = 37

3 points throw = 11

Step-by-step explanation:

Given that:

Let number of

2 points = x ; 3 points = y

x + y = 48 - - - (1)

2x + 3y = 107 ---(2)

x = 48 - y

Then ;

2(48 - y) + 3y = 107

96 - 2y + 3y = 107

96 + y = 107

y = 107 - 96

y = 11

From (1)

x = 48 - 11

x = 37

2 points throw = 37

3 points throw = 11

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3 years ago

Which equation is graphed in the diagram below

Deffense [45]

Answer:

y=2x+2

Step-by-step explanation:

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3 years ago

Is the following argument valid?

cestrela7 [59]

I believe the answer is A! I hope that's correct! :)

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4 years ago

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