Show that 5^133 +26 is a multiple of 31
2 answers:
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Answer:
Step-by-step explanation:
Let's call y the number of patients treated each week
Let's call x the week number.
If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:
Where m is the slope of the equation and b is the intercept with the x-axis.
If we know two points on the line then we can find the values of m and b.
We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:
(5, 90)
We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:
(10, 60).
Then we can find m and b using the followings formulas:
and
In this case: and
Then:
And
Finally the function that shows the number of patients seen each week at the clinic is:
The zero product property tells us that if the product of two or more factors is zero, then each one of these factors CAN be zero.
For more context let's look at the first equation in the problem that we can apply this to:
Through zero property we know that the factor
can be equal to zero as well as 
. This is because, even if only one of them is zero, the product will immediately be zero.
The zero product property is best applied to factorable quadratic equations in this case.
Another factorable equation would be
since we can factor out 
and end up with 
. Now we'll end up with two factors, and 
, which we can apply the zero product property to.
The rest of the options are not factorable thus the zero product property won't apply to them.
For more context let's look at the first equation in the problem that we can apply this to:
Through zero property we know that the factor
The zero product property is best applied to factorable quadratic equations in this case.
Another factorable equation would be
The rest of the options are not factorable thus the zero product property won't apply to them.
Hey there!
- <em>With negatives (
) you have to switch your symbol to the other way</em>
- Firstly, substitute the
as an invisible 1
- So, now we have to flip the equation around
- We have to
by
on each of your sides
Good luck on your assignment and enjoy your day!
~
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