Answer:
Check step by step explanation
Step-by-step explanation:
a) Let x represent the amount of rides she takes, the 6 and 2.5 represent the amount of money required to enter
A(x) = 1.5x + 6
B(x) = 2x + 2.5
b) You can find this by making the 2 equations equal to each other and solving for x
1.5x + 6 = 2x + 2.5
3.5 = .5x
7 = x
7 rides make them equal cost
c) Plug in 5 for each of the equations and find out which one is cheaper
A(5) = 1.5 * 5 + 6
A(5) = $13.50
B(5) = 2 * 5 + 2.5
B(5) = $12.50
Carnival B is cheaper
Answer:
f(x) = x³ + x² - 5x + 3
Step-by-step explanation:
The cubic polynomial has zeros at 1, 1, - 3.
Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.
Hence, we can write the polynomial as a function of x as
f(x) = (x - 1)(x - 1)(x + 3)
⇒ f(x) = (x² - 2x + 1)(x + 3)
⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3
⇒ f(x) = x³ + x² - 5x + 3
So, this is the cubic polynomial function in standard form. (Answer)
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations:
x+y=118 ⇒x=118-y
7.5x+3y=696
we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42
x=118-y
x=118-42
x=76
Answer: the number of adult tickets sold was 76.
2 + 1 = 3
3 - 3 = 0
Hope this helped :)
On month -------- 10%
12 month ---------- x %
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x = 12*10/1 = 12*10 = 120%
