Answer:


or

Step-by-step explanation:
We are going to see if the exponential curve is of the form:
, (
).
If you are given the
intercept, then
is easy to find.
It is just the
coordinate of the
intercept is your value for
.
(Why? The
intercept happens when
. Replacing
with 0 gives
. This says when
.)
So
.
So our function so far looks like this:

Now to find
we need another point. We have two more points. So we will find
using one of them and verify for our resulting equation works for the other.
Let's do this.
We are given
is a point on our curve.
So when
,
.


Divide both sides by 8:

Reduce the fraction:

So the equation if it works out for the other point given is:

Let's try it. So the last point given that we need to satisfy is
.
This says when
,
.
Let's replace
with 2 and see what we get for
:






So we are good. We have found an equation satisfying all 3 points given.
The equation is
.
Answer:
(160, 36)
Step-by-step explanation:
Distance is always positive because, well, you aren't -50 meters away from your house or something. You are just 50 meters away from your house. And 160 is the distance between -6 and 154, because there is one minus and one plus, you add them, because that is how far they are apart, and then-43 and -7 were easy just subtract them.
1a. The equation is x-35+x+5+x
Well it all depends on the object you are using but in this case lets say remote control cars. You can have an example like "we drove the car around the building twice. the first time it was -8 than how fast it was supposed to go. the second time it was 9. In which round was the car faster?" I dont think i helped very much but i hope i did
Answer:
x = 11/3 = 3 2/3
y = 13/3 = 4 1/3
Step-by-step explanation:
Here, we want to solve the system of equations simultaneously
x + y = 8
2x -3 = y
From the second equation, we have an equation for y
we can simply proceed to substitute this into the first equation
x + 2x - 3 = 8
3x - 3 = 8
3x = 8 + 3
3x = 11
x = 11/3
Recall;
y = 2x - 3
y = 2(11/3) - 3
y = 22/3 - 3
y = (22-3(3))/3
y = (22-9)/3 = 13/3