Savannah works as a sales rep and receives 4.5% for every $140 she sells. How much commission will she receive?

Explain how to find the distance between two integers using the difference

maksim [4K]

Answer:

Step-by-step explanation:

When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.

For example -3 and -1.

When we want to find difference we have:

-3-(-1)=-2

But distance can not be negative.

Now, we need to count distance between numbers -3 and -1 on the number line.

So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.

So distance is 2.

6 0

2 years ago

Read 2 more answers

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?

Vinvika [58]

The points on the graph of the inverse variation are of the form:

(x, 8/x)

<h3>Which ordered pairs are on the graph of the function?</h3>

An inverse variation function is written as:

y = k/x.

Here we know that k = 8.

y = 8/x

Then the points (x, y) on the graph of the function are of the form:

(x, 8/x).

So evaluating in different values of x, we can get different points on the graph:

if x = 1, the point is (1, 8)
if x = 2, the point is (2, 4)
if x = 3, the point is (3, 8/3)
if x = 4, the point is (4, 2)

And so on.

If you want to learn more about inverse variations:

brainly.com/question/6499629

#SPJ1

7 0

1 year ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago

Determine the x and y intercepts

kakasveta [241]

Answer:
x-intercepts: (2,0), (4,0)
y-intercepts: (0,-8)

Explanation:
To find the x intercept(s), you must compute where y=0. So solve 0= -x^2 + 6x - 8. So, the x intercepts are: (2,0) and (4,0) since the solutions to the mentioned equation are x=2 and x=4. To find the y intercept(s) compute what is y when x=0. In this case, when x=0, y=-8. So the only y intercept is (0,-8).

5 0

2 years ago

Find the equation of a line parallel to the line x=-10 and contains the point (-4,4)

earnstyle [38]

Hello!

The line x = -10, is an example of an undefined line. It does not pass the vertical line test and each element of the domain is not paired with a unique (one and only one) element of the range. Remember that no two ordered pairs in a function have the same first element.

To find the line parallel to the line given line, we need to use the x-value in the given ordered pair, which will create the parallel line.

Therefore, the line parallel to the line x = -10 is x = -4.

6 0

2 years ago