The formula in getting the arithmetic sequence:
an = a1<span> + (n – 1)d.
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We can substitute the values in order for us to know how many terms the sequence has.
an = 7373
a1 = 1313
d = 303
an = a1<span> + (n – 1)d
</span>7373 = 1313 + (n-1) 303
7373 = 1313 + 303n - 303
-303n = 1313 - 303 - 7373
303n = -1313 + 303 + 7373
303n = 6363
n = 21
So, there are 21 terms in the sequence given.
All it is asking is to plug the given x values into the equation (which are 0, 2, 4) and see what you get for y.
4y - 2x =16
4y - 2 (0) = 16
4y = 16
y = 4
4y - 2 (2) = 16
4y - 4 = 16
4y = 20
y = 5
4y - 2 (4) = 16
4y - 8 = 16
4y = 24
y = 6
so D
Answer:
x=3
Step-by-step explanation:
1. cross multiply to get
5(4x+2)= 35(x-1)
2. distribute
20x+10=35x-35
3. combine like terms
45=15x
4. divide :)
3=x
Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

And then we get that if
then
. So it has a critical point at
.
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.