The solution to the equation is (325, 404) which is the point of intersection.
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the number of student tickets and y represent the number of adult tickets.
It is given by the equation:
- x + y = 729 (1)
- 3x + 5y = 2995 (2)
The solution to the equation is (325, 404) which is the point of intersection.
Find out more on Linear equation at: brainly.com/question/14323743
9x^2 - y^2 = 1
a.) 18x - 2y dy/dx = 0
2y dy/dx = 18x
dy/dx = 9x/y
b.) y^2 = 9x^2 - 1
y = √(9x^2 - 1)
y' = 9x / √(9x^2 - 1)
c.) substituting y = √(9x^2 - 1) into solution for part a gives
dy/dx = 9x / √(9x^2 - 1)
Thus the two solutions are consistent.
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arrangements before.
Answer:
X= 2
Step-by-step explanation:
6(x-4) + 7 = -5 First you distribute the 6
6x - 24 + 7 = -5 Then add like terms
6x -17 = -5 then add 17 to both sides
6x = 12 then divide 12 by 6
x = 2
Answer:
1. C
2. D
Step-by-step explanation:
1.
Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).
Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).
2.
If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?
Set up an equation:
Variable x = area of ft^2 for 1 gallon of paint
0.25/24 = 1/x
Cross multiply
0.25 × x = 24 × 1
0.25x = 24
To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4
1/4x = 24
Multiply both sides by 4
1x = 96
x = 96 ft^2
Check your work:
0.25/24 = 1/96
0.25 × 96 = 24 × 1
24 = 24
Correct
