B. Ethan is correct because all proportional relationships form a straight line and go through the origin and linear functions are linear, but they don’t all go through the origin so they are not always proportional.

Step-by-step explanation:

So a proportional relationship is just a special kind of linear relationship, i.e., all proportional relationships are linear relationships (although not all linear relationships are proportional).

8 0

2 years ago

Think about all of the ways in which a circle and a parabola can intersect.

xeze [42]

There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle and a parabola:

As we know the standard form of a circle:

$\rm (x-h)^2 +(y-k)^2=r^2$

The standard form of the parabola:

$\rm y = a(x-h)^2+k$

If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)

The solution of the quartic equation will be 4.

Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

Learn more about circle here:

brainly.com/question/11833983

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7 0

1 year ago

Find the x- and y-intercepts for the linear equation –3x + 4y = 24.

Sav [38]

Answer:

x- intercept = - 8, y- intercept = 6

Step-by-step explanation:

To find the x- intercept let y = 0 and solve for x

- 3x + 4(0) = 24

- 3x = 24 ( divide both sides by - 3 )

x = - 8 ← x- intercept

To find the y- intercept let x = 0 and solve for y

- 3(0) + 4y = 24

4y = 24 ( divide both sides by 4 )

y = 6 ← y- intercept

3 0

2 years ago

A prime number that is 1 more or 1 less than the value of a factorial is called a factorial prime. Which of the following number

adelina 88 [10]

Answer:

Step-by-step explanation:

3 0

2 years ago