Answer:
<u>In week 20, Seth will have 80 cards and Matt will have 60.</u>
Step-by-step explanation:
Let's find out the amount of cards that Math and Seth will have in week 20, using the information shown in the graph and table:
Amount of cards Seth has in week 20 = 20 * 4 = 80
The equation to find out the amount of cards, c, Seth has in week w:
c = 4w
Amount of cards Matt has in week 20 = 20 + (2 * 20) = 20 + 40 = 60
The equation to find out the amount of cards, c, Matt has in week w:
c = 20 + 2w
<u>In week 20, Seth will have 80 cards and Matt will have 60.</u>
Given:
f(x) is an exponential function.

To find:
The value of f(6.5).
Solution:
Let the exponential function is
...(i)
Where, a is the initial value and b is the growth factor.
We have,
. So, put x=-3.5 and f(x)=25 in (i).
...(ii)
We have,
. So, put x=6 and f(x)=33 in (i).
...(iii)
On dividing (iii) by (ii), we get





Putting b=1.03 in (iii), we get




Putting a=27.63 and b=1.03 in (i), we get

Therefore, the required exponential function is
.
The pool is drained at 700 gallon per hour , so you need to multiply the number of hours ( t) by 700 to find the total number of gallons after a certain amount of hours, this would be written as 700t.
You would then need to subtract that amount from the starting value of 28,000.
This would make the equation g = 28,000 - 700t.
Answer:
Third choice.
Step-by-step explanation:
Trinomial means you have 3 terms.
You don't have 3 terms in first two choices so let's not look at them.
Anything of the form
is a perfect square trinomial because it can be written as
.
Let's this this:


Now foil!
First=ax(ax)=a^2x^2
Outer=ax*by=abxy
Inner=by*ax=abxy
Last=by*by=b^2y^2
Add together and this gives you a^2x^2+2abxy+b^2y^2.
So looking at third choice you can write it as 4^2x^2+24xy+3^2y^2.
Is 2*4*3 equal to 24? If it is then you have your answer. It is.
We have our answer.