Answer:
uno de los 5 mejores deseos para el colegio y para la comunidad educativa en la definición 3 x 6=√57
Answer:
a = 2, b = - 3, c = - 8
Step-by-step explanation:
Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is
a(x + b)² + c ← expand (x + b)² using FOIL
= a(x² + 2bx + b²) + c ← distribute parenthesis by a
= ax² + 2abx + ab² + c
Compare like terms with f(x) = 2x² - 12x + 10
Compare coefficients x² term
a = 2
Compare coefficients of x- term
2ab = - 12, substitute a = 2
2(2)b = - 12
4b = - 12 ( divide both sides by 4 )
b = - 3
Compare constant term
ab² + c = 10 , substitute a = 2, b = - 3
2(- 3)² + c = 10
18 + c = 10 ( subtract 18 from both sides )
c = - 8
Then a = 2, b = - 3, c = - 8
Put the numbers in the given equation and solve for k.
... $11 = k·(8 €)
Divide by the coefficient of k:
... k = $11/(8 €) = 1.375 $/€
Then your equation is ...
... y = (1.375 $/€)x
_____
It is fairly common to leave the units out of such equations, assuming that everyone understands that x is in euros and y is in dollars and the conversion factor includes a unit change from euros to dollars. Thus, you might expect to see ...
... y = 1.375·x
15 is divisible by 3 and 5.
3 * 5 = 15.
You can cut the cake into 5 pieces along the length, and cut into 3 pieces along the width to get 15 pieces.