Since C only has two and although it may look like B has three terms, when the letters are joined together like that they are basically just become one big term, so your answer would be A.
The area of number four, the hexagon, is 841.78.
Hope this helps!
Answer:
Step-by-step explanation:
This is calculus, but I don't get fractions in the end. To maximize or minimize any function, you need to find the derivative of it, set it equal to 0, then solve for the critical values.
Our given equation is
x + y = 215 and we want to maximize the product, xy. Therefore,
y = 215 - x so its product in terms of x is
x(215-x) which is
. The derivative of this is
215 - 2x. Set it equal to 0 to maximize it.
215 - 2x = 0 so
-2x = -215 and
x = 107.5.
Sub this in to solve for y:
y + 107.5 = 215 and
y = 107.5
The product is 11556.25, not that you need it.
Answer:
Step-by-step explanation:
Each year, he gets a 3 percent raise. This means that his salary between consecutive years increasing by a common ratio. The formula for determining the sum of the first n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 35000
r = 1 + 3/100 = 1 + 0.03 = 1.03
Therefore, the expression that gives the total amount Alex has earned in his first n years of his career is
Sn = [35000(1.03)^n - 1]/(1.03 - 1)
Sn = [35000(1.03)^n - 1]/0.03
Answer:
g(x)=2-x² OR g(x)=-x²+2
Step-by-step explanation:
Notice that the red parabola doesn't stretch or compress. It only translates 3 units down. This means taking the original equation f(x)=-x²+5 and subtracting 3 units will get us the equation g(x)=-x²+2 which is also the same thing as g(x)=2-x². Looks like some of your answer choices got cut out of the picture so make sure to choose the answer I provided.
