Answer:3
Step-by-step explanation:
A. 2^4(4n) = 2^48
2^16n = 2^48
16n = 48
n = 3
132 = 1/2x + 2(x - 9)
132 = 1/2x + 2x - 18
132+ 18 = 2.5x
150 = 2.5x
150/2.5 = 60......price of adult ticket
a childs ticket is 9 less then adults......so 60 - 9 = 51 <== childs ticket
Answer:
(a)
(b)
(c)
Step-by-step explanation:
We are required to construct 3 linear equations starting with the given solution z = 1/3.
<u>Equation 1</u>
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Multiply both sides by 9
Rewrite 3 as 5-2
9z=5-2
Add 2 to both sides
Our first equation is:
<u>Equation 2</u>
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Multiply both sides by 21
Rewrite 7 as 11-4
21z=11-4
Subtract 11 from both sides
Our second equation is:
<u>Equation 3</u>
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Multiply both sides by 6
Rewrite 6z as 4z+2z
4z+2z=2
Subtract 2z from both sides
Our third equation is:
Answer:
2 intersections
Step-by-step explanation:
The greatest possible number of intersections of these graphs is 2 intersections. This is because a quadratic equation always appears on a graph as a parabola, either facing up or down. a Linear expression is a straight line, when placed in the same graph as a parabola only three things can happen. It can completely miss the parabola. It can pass through only one half of the parabola (thus intersecting at one point only), or lastly it can go through both halves of the parabola (intersecting at 2 points) as shown in the picture below.
Answer:
The dimensions of the rectangular volleyball court are 60 ft x 30 ft
Step-by-step explanation:
Let
x ----> the length of rectangular volleyball court
y ---> the width of the rectangular volleyball court
we know that
The area of the rectangular volleyball court is equal to
so
----> equation A
-----> equation B
substitute equation B in equation A
Solve for y
Simplify
take square root both sides
<em>Find the value of x</em>
substitute the value of y
therefore
The dimensions of the rectangular volleyball court are 60 ft x 30 ft