Is 8/6 greater than or less than 11/12

2 answers:

8 0

$\frac{8}{6}\ \ \ \ and\ \ \ \ \frac{11}{12}\ \ \ \ \ | make\ a\ common\ denominator\ 12\\\\
\frac{16}{12}\ \ \ and\ \ \ \ \frac{11}{12}\\\\
Now\ it\ is\ visible\ that\ \frac{16}{12} \ >\ \frac{11}{12}\ so\ \frac{8}{6} \ >\ \frac{11}{12}\ 
$

Nezavi [6.7K]3 years ago

7 0

Greater because 8/6 is equal to a Whole number well more than a Whole number and 11/12 is less than aWhole number

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Identify all factors of the expression 12x^2-14x-6

Evgen [1.6K]

Let's solve this by using the quadratic formula:

$\frac{-b+-\sqrt{b^2-4ac} }{2a}$

Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

$\frac{ - ( - 14)± \sqrt{ {( - 14)}^{2} - 4(12)( - 6) } }{2(12)}$

And so by evaluating those values we obtain:

$\frac{14+-\sqrt{484} }{24}=\frac{14+-22}{24} \\\\$

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

$\frac{14+22}{24}=\frac{36}{24}=\frac{3}{2}$

Second Factor:

$\frac{14-22}{24}=\frac{-8}{24}=-\frac{1}{3}$

And so your factors are

$\frac{3}{2},-\frac{1}{3}$

meaning that those are your roots/x-intercepts.

6 0

3 years ago

Which expression is equivalent to (x^4/3 x^2/3)^1/3?

KATRIN_1 [288]

Answer: $x^{\frac{2}{3} }$

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

$(x^{a})(x^{b}) = x^{a + b}$ (Exponents with the same base that are being multiplied together can have the exponents added)

$(x^{a})^{b} = x^{(a)(b)}$ (A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)