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Katarina [22]
3 years ago
9

The graph of function p is shown on the grid. The coordinates of the x-intercepts, the y-intercepts, and the vertex are integers

. What is
the minimum value of p?

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer: I even

Step-by-step explanation: I am so so sorry for the Chinook ethat and I have don’t

Know how the sun goes out for a while and I don’t want to you say that again lol lol you

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A ball dropped from the top of a building can be modeled by the function f(t)=-16^2+36, where t represents time in seconds
Viefleur [7K]

Answer:

The ball is dropped from a height of 36 feet

The bee and the ball will collide after approximately 1.3 seconds

The bee and the ball will collide at approximately 8 feet above the ground

The ball hits the ground after 1.5 seconds

Step-by-step explanation:

<u><em>The complete question is</em></u>

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

The graph represents the situation.

select all that apply

1) The bee launches into flight from the ground.

2) The ball is dropped from a height of 36 feet.

3) The bee and the ball will collide after approximately 1.3 seconds.

4) The bee and the ball will collide after approximately 8 seconds.

5) The bee and the ball will collide at approximately 8 feet above the ground.

6) The bee and the ball will not collide.

7) The ball hits the ground after 1.5 seconds

see the attached figure to better understand the problem

<u><em>Verify all the options</em></u>

case 1) The bee launches into flight from the ground.

The statement is false

Because

we have

g(t)=3t+4

For t=0

g(t)=3(0)+4=4\ ft

That means ----> The bee launches into flight from a height 4 feet above the ground

case 2) The ball is dropped from a height of 36 feet

The statement is true

Because

For t=0

f(t)=-16(0)^2+36=36\ ft

case 3) The bee and the ball will collide after approximately 1.3 seconds

The statement is true

Because

Equate f(t) and g(t)

-16t^2+36=3t+4

-16t^2-3t+32=0

solve the quadratic equation by graphing

The solution is t=1.324 sec

see the attached figure N 2

case 4) The bee and the ball will collide after approximately 8 seconds

The statement is false

Because, the bee and the ball will collide after approximately 1.3 seconds (see case 3)

case 5) The bee and the ball will collide at approximately 8 feet above the ground

The statement is true

Because

For t=1.324 sec

substitute the value of t in f(t) or g(t)

g(t)=3(1.324)+4=7.97\ ft

case 6) The bee and the ball will not collide

The statement is false

see case 3) and case 5)

case 7) The ball hits the ground after 1.5 seconds

The statement is true

Because

we know that

The ball hit the ground when the value of f(t) is equal to zero

so

For f(t)=0

-16t^2+36=0

t^2=\frac{36}{16}

t=\frac{6}{4}=1.5\ sec

4 0
3 years ago
Read 2 more answers
Quick Answers Please
Rudik [331]

Then Nicolas would have:

4 and 1/16 of that one pizza

8 0
3 years ago
Para festeja su cumpleaños,Nancy compró 15 paquetes de pizzetas. Si cocinó 288 pizzetas, cuántos paquetes completos le quedaron?
Lorico [155]

Answer:

Nancy consumió 12 paquetes de pizzetas y le quedaron 3 paquetes completos.

Step-by-step explanation:

En primer lugar, debemos descomponer el número total de pizzas como una multiplicación de números primos. Al realizar la descomposición factorial tenemos que:

288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3

Entonces, los familia de divisores de 288 es el siguiente conjunto:

D_{288} = \{2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 \}

Si tanto la cantidad de paquetes de pizzetas y la cantidad cocinada de pizzetas son números enteros y positivos, siendo la última mucho mayor. Entonces, la cantidad de pizzetas debe ser un número entero y la cantidad de paquetes gastados menor a la cantidad de paquetes comprados y el número entero más cercano a esa cantidad. Entonces, concluimos que Nancy se gastó 12 paquetes de pizzetas, quedándole 3 paquetes completos.

6 0
3 years ago
A line with a slope of 4 and point (2, 1). Find the y-
Nana76 [90]

Answer: y=4x-7

Step-by-step explanation:

3 0
3 years ago
What is the length of side s of the square shown below?
horsena [70]

Answer:

E

Explanation:

well, process of elimination

4 0
3 years ago
Read 2 more answers
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