The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,
From the calculator,
12! = 479,001,600
3! = 6
Therefore
₁₂P₉ = 479001600/6 = 79,833,600
Answer: 79,833,600
X+y=45
2x=3y
2(45-y)=3y
90-2y=3y
90=5y
y=18
x+y=45
x+18=45
x=27
The two numbers are 18 and 27
The equation that model a quadratic function is: y=0.9673x²-0.8475x+10.4334
Step-by-step explanation:
A quadratic function has the form of ;
f(x) = ax²+bx+c where a, b and c are real numbers and a≠0
For this case, equation y=0.9673x²-0.8475x+10.4334 models a quadratic function where a>0 thus the parabola opens upwards
See attached figure below to visualize the graph
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Quadratic functions graphs: brainly.com/question/9048896
Keywords : equation, quadratic model, data set, calculator, spreadsheet program.
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Answer:
46
Step-by-step explanation:
Break the shape into smaller shapes, then solve:
Large Rectangle -> 4x8=32
Tiny Rectangle at the bottom ->2x3=6
Triangle at top can be broken into two right triangles ->
(4x2)(1/2)=4
(4x2)(1/2)=4
Add: 32+6+4+4=46
Y = money left over
X = fair ticket
Y = 36.75 - 3x
