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2 years ago

Write an equation of the line below.

Mathematics

1 answer:

atroni [7]2 years ago

3 0

Answer:

y = 2/3 x

Step-by-step explanation:

slope = m = 4/6 = 2/3

y-intercept = b = 0

Equation: y = mx + b

y = 2/3 x

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20 is no because its bigger than 15

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3 years ago

Ruth hit's a baseball to the right field. The ball is 4 ft above the ground when she hits it. Three seconds later it reaches its

Angelina_Jolie [31]

Answer:

Vertex form: $h(t)=-16(t-3)^2+148$

Height expressed as a function of time: $h(t)=-16t^2+96t+4$

Step-by-step explanation:

We have been given that the ball is 4 ft above the ground when she hits it.

This means that initial value (y-intercept) of ball is 4.

We are also told that three seconds later it reaches its maximum height of 148 ft. This means $h(3)=148$ .

We know that vertex form of a parabola is in format $y=a(x-h)^2+k$ .

Let us solve for a using our given information.

$4=a(0-3)^2+148$

$4=a(-3)^2+148$

$4=a*9+148$

$4-148=9a+148-148$

$-144=9a$

$a=\frac{-144}{9}$

$a=-16$

Therefore, the vertex form of our given function would be $y=-16(x-3)^2+148$ .

Since we need height as a function of time, so we will get:

$h(t)=-16(t-3)^2+148$

$h(t)=-16(t^2-6t+9)+148$

$h(t)=-16t^2+96t-144+148$

$h(t)=-16t^2+96t+4$

Therefore, the function where height is expressed as a function of time would be $h(t)=-16t^2+96t+4$ .

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3 years ago

A bag contains colored tiles.

kiruha [24]

Answer:

0.5

Step-by-step explanation:

total tiles = 12

green tiles = 6

so : 6/12 = 0.5

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3 years ago