So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:
So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that 
If we replace the factored numerator with the original one, we get:
Since we have an equality, this relation is proved.
The distance traveled by the balloon in every minute makes an arithmetic sequence with a first term equal to 40 ft and common difference equal to 20. The nth term of an arithmetic sequence is calculated by,
an = a1 + (n - 1) x d
Substituting,
an = 40 + (15 - 1) x 20 = 320
Thus, the answer is letter B. 320 feet.
Hi,
Here we are going to be working on isolating the variable y, and seeing what its value equates to.
To do this, we must try and get the variable y on one side of the equation by itself.
Let's look at step one -
<em>4y - 1 = 7
</em>
We want to get rid of the 1 since we need to isolate x. We do this by doing the inverse of its operation. Since 1 is negative, if we add positive 1 to it - we will get 0, thereby being closer to isolating y.
However, when we do something on one side of the equation we must do it on the other. This means we will add 1 on both sides.
<em>4y - 1 + 1 = 7 + 1
</em>
<em>4y = 8
</em>
<em />Remember how I mentioned we do the inverse of the operation? In this case, 4 is multiplying y. The inverse operation of multiplication is division. So, to get rid of the 4 - we must divide 4y by 4, on both sides.
<em>4y / 4 = 8 / 4
</em>
<em>y = 2
</em>
We now know the variable y is equal to 2.
Hopefully, this helps.
In the simplest form it looks like this:
<span><span>
−8</span>j</span>+<span>5
Hope this helped</span>
<span>Given that A
dataset shows that, on average, smokers do not live as long as
nonsmokers and heavy smokers do not live as long as light smokers.
If
you compute the least squares line for y = age at time of death and x =
number of packets per day typically smoked, you will notice that as the number of packets per day a person smokes increases, the age at time of death of the person decreases.
Thus, the graph wil have a negative slope.
Therefore, the slope of your
regression line will be less than 0.</span>
