Answer:
<em>2(x - 1) - 1 = 3(x + 1) - 6 - x</em>
<em>There are infinitely many solutions.</em>
Step-by-step explanation:
<u>Equations</u>
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7
The statement that describes all of the values for which the graph is positive and decreasing is:
C.) ALL REAL VALUES OF X WHERE 1 < X < 3
The number 1 ensures that the value of x will remain positive.
Since x is less than 3, then the value of x is decreasing.
Let x be the number of tickets sold
Cost of x tickets = 32.5.x
Cost of convenience = 3.3.x
Process charges (for ONE ORDER, whatever the number of tickets) = $5.90
Hence:
$32.5(x) + $3.3(x) + $5.90 = $220.70
$35.8(x) = $220.90-$5.90
$35.8(x) = $214.8
And x = 214.8/35.8 = 6 tickets
Answer: 306in^3
method: I would split the cross-section (the trapezium at the front) into two shapes. You first have your rectangle with dimensions of 4 and 7, and your triangle with dimensions of height 4 and base 3 (10 - 7 = 3). 4 × 7 = 28in^2, 4 × 3 = 12, 12 ÷ 2 = 6in^2. The total surface area of the cross-section is therefore 6 + 28 = 34in^2. Now, to find the volume, you just multiply that by 9 which is 306in^3, which is your answer. I hope this helps!
