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ryzh [129]
2 years ago
6

Freddy usa gráfica para resolver el sistema de ecuaciones piensa 2 líneas que son gráficas de ecuaciones se cruzan en el punto 1

,5 esta coordenada está en la forma número de pasos diarios número de pases de temporada o (d,s)
Freddy quiere comprobar su respuesta sustituyendo el punto 1,5 en ambas ecuaciones

arrestre de los mosaicos a las ranuras apropiadas para verfificar si este punto es una solución de sistema de ecuaciones

el punto 1,5 una solución a la ecuación d+s = 6 el punto 1,5 una solución la ecuación 10d + 28s = 78
el punto 1,5una solución sistema de ecuaciones ​

Mathematics
1 answer:
irinina [24]2 years ago
5 0

Answer:

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Patricia serves the volleyball to Amy with an upward velocity of 17.5ft/s. The ball is 5 feet above the ground when she strikes
Lena [83]

t = 1.33 sec

Solution:

Given data:

Velocity (v_0) = 17.5 ft/s

Height (h_0) = 5 ft

The height can be modeled by a quadratic equation

h(t)=-16t^2+v_0t+h_0

where h is the height and t is the time

h(t)=-16t^2+17.5t+5

-16t^2+17.5t+5=0

a = –16, b = 17.5, c = 5

It looks like a quadratic equation. we can solve it by quadratic formula,

$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

$\Rightarrow t=\frac{-17.5 \pm \sqrt{(-17.5)^{2}-4\times (-16)(5)}}{2 (-16)}

$\Rightarrow t= \frac{-17.5 \pm \sqrt{306.25+ 320}}{-32}

$\Rightarrow t= \frac{-17.5 \pm 25.025}{-32}

$\Rightarrow t= \frac{-17.5 - 25.025}{-32}, \ t= \frac{-17.5 + 25.025}{-32}

$\Rightarrow t= 1.33, \ t= -0.24

Time cannot be in negative. So neglect t = –0.235.

t = 1.33 sec

Hence Amy have to react  1.33 sec before the volleyball hits the ground.

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$8.40 divided by 30= .28 which means 28 cents per pen

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