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3 years ago

Melvin is X years old . Jonathan is 5 years older than Melvin. their total age 10 year later is 85 years .Find the value of X

Mathematics

2 answers:

kumpel [21]3 years ago

8 0

Answer:

X= 40

Step-by-step explanation:

X ×2+5= Jonathan age.

So, 85÷2-5 = <u>X</u>

X= 85÷2-5

=<u>4</u><u>0</u>

emmainna [20.7K]3 years ago

7 0

Answer:

<h2>30 years</h2>

Step-by-step explanation:

Age of melvin = X

Age of Jonathon = X + 5

After 10 years,

Age of melvin = X + 10

Age of Jonathon = X + 15

Now,

According to the question,

$x +10 + x + 15 = 85$

Collect like terms

$2x +10 + 15 = 85$

Calculate the sum

$2x + 25 = 85$

Subtract 25 on both sides

$2x + 25 - 25 = 85 - 25$

Calculate

$2x = 60$

Divide both sides of equation by 2

$\frac{2x}{2} = \frac{60}{2}$

Calculate

$x = 30$

Hope this helps...

Good luck on your assignment..

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Which equation is y = –6x^2 + 3x + 2 rewritten in vertex form? y = negative 6 (x minus 1) squared + 8 y = negative 6 (x + one-fo

mart [117]

Answer:

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Step-by-step explanation:

Given:

$y = -6x^2 + 3x + 2$

Required

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The vertex form of an equation is in form of: $y = a(x - h)^2+ k$

Solving: $y = -6x^2 + 3x + 2$

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$y - 2 = -6x^2 + 3x + 2 - 2$

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<em>Rough work</em>

The coefficient of x is $\frac{-1}{2}$

It's square is $(\frac{-1}{2})^2 = \frac{1}{4}$

Adding inside the bracket of $-6(x^2 - \frac{x}{2})$ to give: $-6(x^2 - \frac{x}{2} + \frac{1}{4})$

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The expression becomes

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$y - 2 -\frac{6}{4}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{3}{2}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

Factorize the expression on the right hand side

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Make y the subject of formula

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<em>Solved</em>

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Melvin is X years old . Jonathan is 5 years older than Melvin. their total age 10 year later is 85 years .Find the value of X​

Melvin is X years old . Jonathan is 5 years older than Melvin. their total age 10 year later is 85 years .Find the value of X