Answer:
A g(0) =12 g(1) = 8
Step-by-step explanation:
g(x) = 12(2⁄3)^x
g(0) means x=0
g(0) = 12(2⁄3)^0
=12 (1) = 12
g(1) means x=1
g(1) = 12(2⁄3)^1
=12 (2/3)
=24/3 = 8
Answer:
The graph of the given function is increasing in the interval, 2 to 5
The graph of the given function is decreasing in the interval, -2 to 2
The graph of the given function is constant in the interval, 2, it is constant at only one point
Answer:
<h2>A. 30(3 + 2)</h2>
Step-by-step explanation:
90 + 60
90 = 2 · 3 · 3 · 5
60 = 2 · 2 · 3 · 5
GCF(90, 60) = 2 · 3 · 5 = 30
90 = 30 · 3
60 = 30 · 2
The distributive property <em>a(b + c) = ab + ac</em>
90 + 60 = 30 · 3 + 30 · 2 = 30 · (3 + 2)
Let the width of the rectangle be W in.
Therefore, length = 2W in
Area of the rectangle, Ar = L*W = 2W*W = 2W^2
Also, perimeter of the rectangle, Pr = 2(L+W) = 2(2W+W) = 2(3W) = 6W
Then, perimeter of square, Ps = 52-6W
And, area of the square, As = [(52-6W)/4]^2 = [13-1.5W]^2 = (13-1.5W)(13-1.5W) = 169-19.5W-19.5W+2.25W^2 = 2.25W^2-39W+169
Therefore,
Total area, At = Ar+As = 2W^2+2.25W^2-39W+169 = 4.25W^2 -39W+169
For maximum area, the first derivative of the total area expression should be zero. Therefore;
dAt/dW = 8.5W - 39 = 0 => 8.5W = 39 => W = 39/8.5 = 4.588 in
Therefore, for maximum area, width (W) should be 4.588 in
(3x+4)(2x+1)
If the question asks you to find roots/solutions:
3x + 4 = 0
3x = -4
x = -1.33333333
2x + 1 = 0
2x = -1
x = -0.5