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raketka [301]
3 years ago
15

Michael is 2 years older than his friend Jason. 16 years ago, Jason was half of Michael's age. how old is Jason now?

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

The present age of Jason is 18 years.

Step-by-step explanation:

Let the present age of Jason be x years.

Michael is 2 years older than Jason.

So, the present age of Michael be x+2 years.

16 years ago,

Jason's age =x-16 years.

Michael' age =x+2-16=x-14 years.

According to the question, 16 years ago, Jason was half of Michael's age.

So, x-16=\frac{1}{2}(x-14)

\Rightarrow 2\left ( x-16 \right )=(x-14)

\Rightarrow 2x-32=x-14

\Rightarrow 2x-x=-14+32

\Rightarrow x=18

Hence, the present age of Jason is 18 years.

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guapka [62]

Answer:

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2 years ago
Evan tosses a ball from the roof of a building. The path of the ball can be modelled
DiKsa [7]

Answer:

Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel

Step-by-step explanation:

Question;

The equation representing the path of the ball obtained from a similar question posted online are;

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The above equations represent the same path

The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time <em>t</em>

At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level

The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0

The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;

The vertex of the ball = The maximum height reached by the ball  = (h, k) = (2, 36)

The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape

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5 0
2 years ago
Solve the equation<br> 7h-5(3h-8) = 72
frosja888 [35]

Answer:

h = -4

Step-by-step explanation:

7h-5(3h-8) = 72

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Combine like terms

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Subtract 40 from each side

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Divide each side by -8

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3 years ago
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Answer:

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Step-by-step explanation:

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