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2 years ago

Find the improper fraction with a denominator of six that is equivalent to 5 1/2

Mathematics

1 answer:

sammy [17]2 years ago

5 0

Answer:

33/6

Step-by-step explanation:

Convert the proper fraction into an improper fraction.

11/2

Multiply numerator and denominator by the same number. This number needs to allow the demominator to be 6.

(11*3)/(2*3)

33/6

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Step-by-step explanation:

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2 years ago

Coefficiants of (2x+y)^4

sattari [20]

By the binomial theorem,

$(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

Then the coefficients of the $x^{4-k}y^k$ terms in the expansion are, in order from $k=0$ to $k=4$ ,

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$\dbinom412^{4-1}=4\cdot2^3=32$

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3 0

3 years ago

Which of these shows the complete factorization of 6x^2y^2-9xy-42

sineoko [7]

Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) - 9xy) - 42

6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)

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2 years ago

If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).

Elena-2011 [213]

$\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16$

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3 years ago