Answer:
yes
Step-by-step explanation:
This relation is a function
Each input value goes to only one output value so the relation is a function
Answer:
f(x) = 10x - 27. I can't find the answer anywhere
Step-by-step explanation:
Answer:
Use the formula y2-y1 / x2-x1
Or
Remember rise / run
just count the blocks
So the answer would be
6-4/2-8
=
2/-6
or -2/6
Step-by-step explanation:
Answer:
16 mm
Step-by-step explanation:
Since ABC is an equilateral triangle, all three sides are the same length. The perimeter is found by adding together all of these equal sides; letting x represent the length of a side of the triangle, this gives us
x + x + x = 96
Combining like terms,
3x = 96
Dividing both sides by 3,
3x/3 = 96/3
x = 32
Since AM is a perpendicular bisector, it splits BC into two congruent sections. This means the length of MC, half of BC, will be 32/2 = 16.
We analyze the chart and observe that the linear function is

, since this relation holds for all values in the table. Drawing this line over the quadratic function shows that they intersect
twice, at
both the positive and negative x-coordinates.This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is
Substituting in

, we find that
the intersection points occur where 
, or

or

This equation doesn't factor nicely, so we use the
quadratic formula to learn that

Hence, the x-coordinates of the intersection points are

, which is
positive, and

, which is
negative. This proves that there are intersection points on both ends of the axis.