Answer:
400 sq. ft.
Step-by-step explanation:
We gotta find the length of a side:
First, we divide 80 by 4, because the perimeter of a square is (4 x side):
80 ft. / 4 = 20 ft.
Second, we doing the normal area of a square equation:
= 400 square ft.
Which leads to out answer of 400 sq. ft.
Answer:
a < 3
n < 3
Step-by-step explanation:
We will solve each inequality one by one.
Solve first inequality :
3a - 4 < 5
add 4 both the side
3a < 9
divide 3 both the side
a < 3
Solve second inequality:
subtract 5 both the side
now multiply by -3 both the side and reverse the inequality sign
n < (-3)*(-1)
n < 3
That's the final answer. I hope it will help you.
<h3>
Answer: 32</h3>
Explanation:
If a set has n items inside it, then there will be 2^n different subsets. This includes the original set itself (since any set is a subset of itself).
Here we have n = 5 items in the given set, so there are 2^5 = 32 different subsets.
For more information, I recommend looking up the term "power set".
Y=-3x^2+18x-25 move constant to other side
y+25=-3x^2+18x make leading coefficient 1 by dividing every thing by -3
(y+25)/-3=x^2-6x halve the linear coefficient, square it, add it to both sides...ie (-6/2)^2=9, so add 9 to both sides
(y+25-27)/-3=x^2-6x+9 now the right side is a perfect square
(y-2)/-3=(x-3)^2 now multiply both sides by -3
y-2=-3(x-3)^2 add 2 to both sides
y=-3(x-3)^2+2
f(x)=-3(x-3)^2+2
So the vertex here is an absolute maximum for the parabola as anything squared and then multiplied by a negative will decrease the value of y.
So the absolute maximum for f(x) occurs at the vertex (3, 2)
