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3 years ago

Each table or graph represents a proportional relationship. Write an equation that describes the relationship.

Mathematics

1 answer:

iragen [17]3 years ago

6 0

Answer:

30*d

When you are making your equation it has to work for everything so you use a variable.

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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

5 0

4 years ago

Read 2 more answers

elixir [45]

The first one. Hope this helps
Be glad to tell me if it’s correct or not

7 0

4 years ago

A map has a scale of 2cm=50 km.If two cities appear 10 cm meters apart, how many kilometers apart really are they?

ra1l [238]

Answer:

2 cm = 50 km

Find what the rate would be if 2 became 10 by dividing

10/2=5

multiply the 5 with the rate

5 x 50 = 250

250 km apart

hope this helps

Step-by-step explanation:

4 0

3 years ago

Factor completely 2x^3-6x^2+5x-15

Olenka [21]

$2x^3-6x^2+5x-15$

$2x^2(x-3)+5(x-3)$

$(x-3)(2x^2+5)$

4 0

3 years ago

Write a equation of a line that has the same slope as y=3x-1

Nikitich [7]

Answer:

A equation of a line that has the same slope as y=3x-1 would be maybe one like Y= 3x+1

hope this helps.

6 0

3 years ago

Read 2 more answers

Each table or graph represents a proportional relationship. Write an equation that describes the relationship.​

Each table or graph represents a proportional relationship. Write an equation that describes the relationship.