Answer:
A. the equality means that the two equations should be equal in a certain x value. Solving the x for these equation gives you the x point where the 2 equations intersect.
B. The x value where the funcionts intersect is x = 1
Step-by-step explanation:
You can solve the x value using natural logarithms.
If you make a table for the two functions you will also see the result:
Value y = 8^x y = 2^(x+2)
-3 0,00195 0,5
-2 0,0156 1
-1 0,125 2
0 1 4
1 8 8
2 64 16
3 512 32
Let L represent lower level tickets and U upper level.
Starter equations:
L + U = 2368
78L + 59U = 157800
Solve simultaneous equations:
59L + 59U = 139712
so 19L = 18088
L = 952
U = 2368 - 952 = 1416
952 lower level tickets and 1416 upper level tickets were sold.
The answer is 20in. You multiply 4 by 5 because 5x5 is 25 so the answer is 20
The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
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Answer:
Step-by-step explanation:
P(red gum ball)= 6/14=3/7
6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.
P(red gum ball)=3/7
