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2 years ago

Marcus is 5 19/24 feet tall. Ben is 5 9/16 feet tall. Which of the two boys is taller?

1 answer:

4 0

well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?

we can simply put both fractions with the same denominator, by <u>multiplying one by the other's denominator</u>, so let's proceed,

$\bf \stackrel{\textit{\large Marcus is taller}}{5~feet + \left( \cfrac{19}{24}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{304}{384}} \right)}\qquad \qquad \qquad \stackrel{\textit{\large Ben}}{5~feet + \left( \cfrac{9}{16}\cdot \cfrac{24}{24}\implies \boxed{\cfrac{216}{384}} \right)}$

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2 years ago

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3 years ago

If one root is the square of the other in the equation 8+mx+27x²=0,find the value of m

aleksklad [387]

Answer:

The value of $m$ is -30.

Step-by-step explanation:

Let $27\cdot x^{2}+m\cdot x +8 = 0$ , we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:

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$-x^{2}-x = \frac{m}{27}$ (2)

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2 years ago

inysia [295]

Answer:

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Step-by-step explanation:

the function $g$ is composite function between $f$ and $x + 4$ , then you can re-write $g$ as:

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In the image you can see what's mean sum a constant in the $x$ of a function.

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2 years ago