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3 years ago

Is (-5,2), (5,2), (0,-3), (3,-8), (-7,4), (-1,-1) a function

Mathematics

1 answer:

Alja [10]3 years ago

4 0

<h3>Answer: Yes it is a function</h3>

Each point listed is of the form (x,y). The x coordinate is always listed first. We dont have any repeat x values, so this is enough to conclude we have a function.

If you wanted to, you could graph each point given on the same coordinate grid. Note how none of the points stack on top of each other. Or put another way, note how it is impossible to draw a single straight line through more than one point graphed. This graph passes the vertical line test.

A function is where plugging in any x value leads to exactly one y value.

If you had two points like (5,2) and (5,7) then the input x = 5 leads to more than one output y = 2 and y = 7 at the same time, making this example not a function.

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Find the equation for intercept x 4 and y -7

nadezda [96]

Answer:

y = $\frac{-7x}{4} - 14$

Step-by-step explanation:

The equation used to find the equation for a line with two intercepts is called point slope form. $y - y_{1} = m(x - x_{1})$ , where $y_{1}$ and $x_{1}$ are the intercept points and m is the slope.

However, we need the slope to use this formula.

Use $m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}$

m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}

$m = \frac{((0) - (7))}{((4) - (0))}$

$m = \frac{-7}{4}$

$y - y_{1} = m(x - x_{1})$

y - ( -7 ) = m ( x - ( 4 ) )

y - ( -7 ) = -7/4 ( x - ( 4 ) )

y + 7 = -7/4 ( x + 4 )

y + 7 = $\frac{-7(x+4)}{4}$

y + 7 = $\frac{-7x-28}{4}$

y + 7 = $\frac{-7x}{4} - 7$

y + 7 = $\frac{-7x}{4} - 7$ - 7

y = $\frac{-7x}{4} - 14$

8 0

3 years ago

What is the slope of the line shown below?<br> y=1/3x-3

inysia [295]

Answer:

slope=1/3

Step-by-step explanation:

the equation is in slope-intercept form (y=mx+b) and m always equals slope in that equation, so in your equation m=1/3, so slope=1/3

5 0

3 years ago

Externally applied mechanical forces acting on a body, such as normal and shear forces, will cause deformation dependent on the

natima [27]

Find the answer in the attachment

8 0

2 years ago

Three of the following steps are used in writing a mixed number as an improper fraction. Which step does NOT belong?

QveST [7]

I don't see the steps, but the steps that I use are:
1. Multiply the denominator by the whole number
2. Then you add the numerator to your sum.
3. The number that you just got by doing those steps is now going to be your numerator and your old denominator is going to stay your denominator.

Example:

2 2/3
3*2=6
6+2=8
8/3 is your new answer.

3 0

3 years ago

F. Please answer this as soon as possible.

Liono4ka [1.6K]

Answer:

-12

Step-by-step explanation:

Convert the mixed number to an improper fraction.

-2 $\frac{2}{3}$ = $-\frac{8}{3}$