20,27,34
The common difference is 7
Answer:
-13 yards
Step-by-step explanation:
Estimating that we start off on the middle line, we could solve this by simply looking at a number line. Moving 9 yards ahead would put us at 9. But moving back 22 would place us at a negative number. An easy way of doing this is subtracting 9 from 22:
22 - 9 = 13
But, we already know that since the answer is to the left of zero, it will be a negative number. So we flip the sign to get -13 yards.
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
.
Because you have two variables and only one equation, you can only solve for approximate answers, and not complete, absolute answers.
<h3><u>You can simplify this equation to x = -4y + 12</u></h3>
y - 3 = -1/4(x + 3)
Distributive property.
y - 3 = -1/4x - 3/4
Multiply all terms by 4.
4y - 12 = -x
Multiply all terms by -1
-4y + 12 = x
<span>The correct answer is 1 16/25.
Explanation<span>:
This is read as "one and sixty-four one-hundredths." This means the fraction would be 1 64/100.
Both numerator and denominator are even, so we will divide both by 2 and get 1 32/50.
Again, both are even, so we divide by 2 again and get 1 16/25.</span></span>