Answer:
The answer is: The adult ticket costs $15 and the child ticket costs $10.
Step-by-step explanation:
Let a = the dollar amount of adult tickets and c = the dollar amount for child tickets. The child ticket cost $5 less than the adult ticket. Then:
c = a - 5
The number of adult tickets times the adult cost plus the number of child tickets times the cost for child tickets is equal to the total dollar amount. Set up the equation:
8a + 2c = $140
Substitute:
8a + 2(a-5) = 140
8a + 2a - 10 = 140
10a = 150
a = 150 / 10 = 15, so the adult ticket is $15
Solve for c:
c = a - 5
c = 15 - 5 = 10, so the child ticket is $10
Proof:
8a + 2c = 140
8(15) + 2(10) = 140
120 + 20 = 140
140 =140
Inequality : 19.50n+24≤$110
Solution: Alyssa can buy 4 DVDs
Work: 110-24=86
86/19.50 = 4.4
You can't have a fraction of a DVD, so you have to round down to 4.
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Answer:
Choose some points for x to find its y, the f(x).
To find its inverse, switch the x and y coordinates.
y = 3x + 1
y = 3(-3) + 1
y = -8
f(x) (-3, -8)
f⁻¹(x) (-8, -3)
y = 3x + 1
y = 3(-2) + 1
y = -5
f(x) (-2, -5)
f⁻¹(x) (-5, -2)
y = 3x + 1
y = 3(-1) + 1
y = -2
f(x) (-1, -2)
f⁻¹(x) (-2, -1)
y = 3x + 1
y = 3(0) + 1
y = 1
f(x) (0, 1)
f⁻¹(x) (1, 0)
y = 3x + 1
y = 3(1) + 1
y = 4
f(x) (1, 4)
f⁻¹(x) (4, 1)
y = 3x + 1
y = 3(2) + 1
y = 7
f(x) (2, 7)
f⁻¹(x) (7, 2)
y = 3x + 1
y = 3(3) + 1
y = 10
f(x) (3, 10)
f⁻¹(x) (10, 3)
Answer:
y=x+4
Step-by-step explanation:
