To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
Answer:
an open circle on -1.3 on the line and draw a line to the right with an arrow.
Step-by-step explanation:
On your number line, draw an open circle on -1.3 and then draw a line on the number line going to the right and ending with an arrow at the end. The open circle means that it is that starting point, but is not equal to it.
Answer:
hahaagaahahahhahahahahahahahhaha no
Step-by-step explanation:
Answer:
yes use this to your advangtage yessss
Answer:
Draw a line segment from (-7, -2) to (3, 8)
See the diagram below.
You do not have to draw the blue dashed line. It's there to show how the points reflect over.
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Explanation:
The inverse will have us swap x and y. The point (x,y) becomes (y,x)
The endpoint (-2, -7) becomes (-7, -2)
Also (8,3) moves to (3, 8)
Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.
Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.
Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.
