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Blizzard [7]
3 years ago
8

Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equatio

n h=−16t2+8t+48, where t is the time (in seconds) after he throws the marshmallow. How long does it take the marshmallow to hit the ground, where h=0?
Mathematics
1 answer:
irinina [24]3 years ago
4 0

Answer:

Step-by-step explanation:

The height of the marshmallow (in feet) is represented by the equation h=−16t2+8t+48,

where t is the time (in seconds) after he throws the marshmallow.

The equation is a quadratic equation. When the marshmallow hits the ground, its height from the ground will be zero. Therefore

−16t^2+8t+48 = 0

- 2t^2 + t + 6 = 0

Multiplying through by the negative sign. It becomes

2t^2 - t - 6 = 0

2t^2 + 3t - 4t - 6 = 0

t(2t + 3) - 2(2t + 3) = 0

(t - 2)(2t + 3) = 0

t - 2 = 0 or 2t + 3 = 0

t = 2 or t = - 3/2

The time cannot be negative

So it will take 2 seconds to hit the ground

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Nth term sequences, please may I get some help. 15 p.
Dovator [93]

Answer:

(n+2)^2+6

Step-by-step explanation:

Pattern 1 consists of

3+3\times 3+3 small squares (here n = 1 and 3\times 3=(1+2)\times (1+2)).

Pattern 2 consists of

3+4\times 4+3 small squares (here n = 2 and 4\times 4=(2+2)\times (2+2)).

Pattern 3 consists of

3+5\times 5+3 small squares (here n = 3 and 5\times 5=(3+2)\times (3+2)).

Thus, pattern n consists of

3+(n+2)\times (n+2)+3=6+(n+2)^2 small squares.

3 0
3 years ago
Why does -2.4-(-7)have the same result as -2.4+7? Explain your reasoning.
asambeis [7]

Answer:

-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.

Step-by-step explanation:

I gave a basic answer. You might have to elaborate more on this.

8 0
3 years ago
Read 2 more answers
How many solutions does the equation have? 0 = -8q + 8q
lawyer [7]
Zeroooo solutions bc i did it earlier
7 0
3 years ago
Read 2 more answers
What is the solution to the system of equations? {x+2y=10y=12x+3
Marianna [84]

The solution to given system of equations are (x,y) = (\frac{4}{25} , \frac{123}{25})

<em><u>Solution:</u></em>

Given that we have to find solution to the system of equations

<em><u>Given equations are:</u></em>

x + 2y = 10  ------ eqn 1

y = 12x + 3 ------ eqn 2

We can solve the above equations by substitution method

<em><u>Substitute eqn 2 in eqn 1</u></em>

x + 2(12x + 3) = 10

x + 24x + 6 = 10

25x = 10 - 6

25x = 4

x = \frac{4}{25}

<em><u>Substitute the above value of x in eqn 2</u></em>

y = 12(\frac{4}{25}) + 3\\\\y = \frac{48}{25} + 3\\\\y = \frac{48+75}{25}\\\\y = \frac{123}{25}

Thus the solution to given system of equations are (x,y) = (\frac{4}{25} , \frac{123}{25})

5 0
3 years ago
What is the solution for x in the equation?
navik [9.2K]

Step-by-step explanation:

option C

hope it helps

thank you

3 0
3 years ago
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