Answer:
y²-2y+3
Step-by-step explanation:
We write the dividend, y³-y²+y+3, under the box and the divisor, y+1, to the left of the box.
We first divide y³ by y; this is y². We write this above the box, over -y². We multiply the divisor by y²:
y²(y+1) = y³+y²
This goes under the divisor. We then subtract:
(y³-y²)-(y³+y²) = -2y². We then bring down the next term, y; this gives us -2y²+y.
We then divide -2y² by y; this is -2y. This goes above the box beside the y² in the quotient. We then multiply the divisor by -2y:
-2y(y+1) = -2y²-2y
We now subtract:
(-2y²+y)-(-2y²-2y) = 3y. We bring down the last term, 3; this gives us 3y+3. We divide 3y by y; this is 3. This goes beside the -2y in the quotient. We then multiply this by the divisor:
3(y+1) = 3y+3. We then subtract: (3y+3)-(3y+3) = 0
This makes the quotient y²-2y+3.
Answer:
D
Step-by-step explanation:
A proportional relationship is defined by a linear equation whose y-intercept is zero.
Thus, we immediately reject answers A, B, and C because all involve a non-zero y-intercept.
D is the correct answer. We combine the unit cost $1.75/lb with the shipping fee $0.16/lb, obtaining a unit cost of $1.91/lb. The desired linear equation with zero y-intercept is then
C(x) = ($1.91/lb)x, where x is the number of pounds of avocados sold.
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
Answer:
Step-by-step explanation:
1- Un avión se desplaza a 720 km/h.¿Que tiempo tarda en recorrer 120.000.000 cm?
x = 120.000.000 cm = 1200.000 m (Dividir para 100)
v = 720 km/h = 200 m / s (Dividir para 3,6)
x = v*t
t = x / v
t = 12000000 / 200
t = 6000 segundos = 100 minutos = 1 hora 40 minutos
2-Un auto recorre 430 km en 6 h 30 min 18 s.¿Cual es su velocidad en km/h?
x = 430 Km = 430000 m
t = 6 h 30m 18 s
t = 6 * 3600 + 30 * 60 + 18
t = 21798 s
v = x / t
v = 430000 / 21798
v = 19,72 m/s = 71 km/h (Multiplica por 3,6)
3-Una moto se desplaza a 144 km/h durante 820 min. calcular la distancia recorrida
v = 144 km/s = 40 m/s
t = 820 min * 60 = 49200 s
x = v*t
x = 40 * 49200
x = 1968000 m = 1968 Km
4-un atleta corre a 9 m/s.¿Cuanto tiempo tarda en recorrer 10,9 Km?
v = 9 m/s
x = 10,9 km = 10900 m
t = x / v
t = 10900 / 9
t = 1211,11 s = 20 minutos 11 segundos
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
