The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x
months since the beginning of the year.
x 0 2 4 6 8 10
f(x) 10 15 18 19 18 15
Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.
2 answers:
X = 0 ; y = 10 ; 10 = a(0) + b(0) + c
c = 10
x=2 ; y = 15 ; 15 = a(4) + b(2) + 10 ; 5 = 4a+2b
x=4 ; y=18 ; 18 = a(16) + b(4) + 10 ; 8 = 16a + 4b
2(5) = (4a+2b)2
-
<u> 8 = 16a + 4b
</u> 2 = -8a
a = -0.25
b = 2
y = (1/4)x^2 + 2x + 10 ; 4y = x^2 + 8x + 40
Answer:
-1/4 x^2 +3x+10
Step-by-step explanation:
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Answer:

Step-by-step explanation:
45+5.25n>108
-45 -45
————————
5.25n > 63
Divide both sides by 5.25
n>12
Answer: 21/40
Step-by-step explanation:
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Answer:
2×3=6
or 6×5=30
Step-by-step explanation:
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Answer:
x = -5, 5
Step-by-step explanation:
-x^2-8=-33
Add 8 to each side
-x^2-8+8=-33+8
-x^2 = -25
Divide each side by -1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5