Step-by-step explanation:
f(x) = x² + x + 3/4
in general, such a quadratic function is defined as
f(x) = a×x² + b×x + c
the solution for finding the values of x where a quadratic function value is 0 (there are as many solutions as the highest exponent of x, so 2 here in our case)
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 1
c = 3/4
x = (-1 ± sqrt(1² - 4×1×3/4))/(2×1) =
= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =
= (-1 ± sqrt(2)i)/2
x1 = (-1 + sqrt(2)i) / 2
x2 = (-1 - sqrt(2)i) / 2
remember, i = sqrt(-1)
f(x) has no 0 results for x = real numbers.
for the solution we need to use imaginary numbers.
Answer:
n = 12 nickels
d = 11 dimes
q = 7 quarters
Step-by-step explanation:
.05n + .1d + .25q = 3.45
n + d + q = 30
n = q + 5
n = 12
d = 11
q = 7
Ancho= x
Largo= 3x+12 ("12 pies más (adición) que 3 veces (multiplicación) su ancho (x)")
<span>En el problema incluyen el perímetro (la suma de todos los lados de una figura). </span>En un rectángulo, los lados opuestos son congruentes, así que para calcular el valor de x, tenemos que sumar nuestras ecuaciones.
(3x+12)+(3x+12)+x+x=64
8x=64-24
x=40/8
x=5
Luego lo único que queda hacer es substituir el valor de x en cada ecuación para calcular los valores que te piden.
Answer:
0
Step-by-step explanation:
2 + 2 = 4 and then 4 - 4 = 0
Answer:
(5x+2)(3x-2)
Step-by-step explanation: