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Pavel [41]
3 years ago
14

Is a graph of a slanted line a one-to-one function? Justify your answer.

Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

A slanted straight line is one-to-one:  It passes the "horizontal ilne test."  This means that any line drawn horizontally through the given line intersects that line only once.  The significance of this is that the given line/function has an inverse.  y = x is one-to-one and has the inverse y = x.  y = 2x is one-to-one and has the inverse y = (1/2)x.

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Construct a circle through points x y and z
faust18 [17]
1. Open the compass to a little more than halfway across the line segment XY. Draw an arc centered at the first endpoint X across the line segment XY. Without changing the width of the compass, place the compass tip on the second endpoint Y. Draw a second arc across the line segment XY.
2. Line up a straightedge with the intersection of the arcs above the line XY, and the intersection of the arcs below the line. Draw a line connecting these two points. The line you draw is a perpendicular bisector. It bisects the line XY at a right angle.
3. Use a compass and straightedge to construct the bisectors of the line YZ as you did with the first line segment. Extend the bisectors long enough that they intersect. The point of their intersection is the center of the circle.
4. The radius of a circle is the distance from the center to any point on the circle’s edge. To set the width, place the tip of the compass on the center of the circle, and open the compass to any one of your original points.Swing the compass around 360 degrees so that it draws a complete circle. The circle should pass through all three points.




3 0
3 years ago
Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas
Svetlanka [38]

The price of one pound of banana = b

As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.

The price of 3 pounds of banana = 3b,

and the price of 2 pounds of oranges = 2(b+0.75).

Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

So, for this situation the required equation is

3b + 2(b+0.75) =4.5

On solving this equation, we have

\Rightarrow 3b+2b+2\times0.75=4.5

\Rightarrow 5b +1.5=4.5

\Rightarrow 5b =4.5-1.5=3

\Rightarrow b =\frac 3 5=0.6

Hence, the price of one pound of banana = $ 0.60

and the price of one pound of orange

=b+0.75= 0.60+0.75=$1.35.

8 0
4 years ago
Jamie downloads 7 songs . Five of the songs files are each 3.28 MB .Two of the songs flies are 4.26 MB .how much space does jami
charle [14.2K]
Multiply 3.28 by five and multiply 4.26 by three the add those two and that is ur answer 16.40mb
3 0
4 years ago
Read 2 more answers
Write the following ratios in its simplest form 56:112:28
damaskus [11]

Answer:

<u>2 : 4 : 1</u>

Step-by-step explanation:

First take common factors by factorization.

56 = 14 x 4 = 28 x 2

112 = 14 x 8 = 28 x 4

28 = 14 x 2 = 28 x 1

Remove the 28 common factor.

Therefore,

56 : 112 : 28

= <u>2 : 4 : 1</u>

5 0
3 years ago
What is the measure of RIA ?
maks197457 [2]
B is correct. 30+95=125. 180-125=55 degrees. Hope this helps! ;)
3 0
3 years ago
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