Answer:
Since we know that each of the three triplets are the same age we can put next to n, 3.
And given that another child is 14 years old we can put that next to the "+" sign.
In total, it would equal 32, so put the 32 after the equal sign.
It should look like this:
3n + 14 = 32
But now they want us to solve for the triplet's ages, so we just solve for n;
3n + 14 = 32
-14 -14
3n = 18
/3 /3
n = 6, the triplet's ages are 6 years old each.
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Answer:
f(x) = x^3 -2x^2 -3x +7
Step-by-step explanation:
Cubic polynomial regression using your favorite tool (graphing calculator, spreadsheet, or web site) will tell you the interpolating polynomial is ...
f(x) = x^3 -2x^2 -3x +7
_____
You can use Lagrange polynomial interpolation. It gives the function as the sum of four factored cubics:

Or, you can write equations for the coefficients a, b, c, d of ...
ax^3 +bx^2 +cx +d = f(x)
These would be ...
a + b + c + d = 3
8a +4b +2c +d = 1
27a +9b +3c +d = 7
64a +16b +4c +d = 27
Your friendly linear equation solver will tell you ...
(a, b, c, d) = (1, -2, -3, 7) . . . matches the equation shown above
Answer:
Yes, it is a solution
Step-by-step explanation:
9x+7y=-11
-2x-5y=30
substitute 5 for x and -8 for y and test:
9(5)+7(-8)=-11
45-56=-11 , this is true
-2(5)-5(-8)=30
-10+40=30 , this is true also