What is the value of the expression 9x1/3 to the second power + 2+4/7

Mathematics

1 answer:

wariber [46]3 years ago

6 0

The expression is 9* $\frac{1}{3}^{2}$ +2+ $\frac{4}{7}$ .

9* $\frac{1}{3}^{2}$ +2+ $\frac{4}{7}$ ---> First square $\frac{1}{3}$ by squaring the top and bottom number.

=9* $\frac{1}{9}$ +2+ $\frac{4}{7}$ ---> Multiply 9 and $\frac{1}{9}$

=1+2+ $\frac{4}{7}$ ---> Add

=3 $\frac{4}{7}$ ---> Optional: turn into improper fraction

= $\frac{25}{7}$

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Factor the expression completely.

densk [106]

Answer:

$\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}$

Step-by-step explanation:

$A = 18x^{2} - 32\\$

Find the sharing components:

<=> $A=2*9*x^{2} - 2*16$

Apply the inverse of associative property:

<=> $A = 2(9x^{2} - 16)$

Identify two square components inside the parenthesis:

<=> $A = 2((3x)^{2} - 4^{2} )$

Factorize:

<=> $A = 2(3x + 4)(3x - 4)$

=> Option D is correct

Hope this helps!

3 0

3 years ago

Solve for x. Show each step of the solution. 4.5(8−)+36=102−2.5(3+24) i need to show my work dont just give me the answer

elena-s [515]

4.5 * (8-) + 36 = 102 - 2.5 * 27
4.5 * 8 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 67.5
36 - 36 = 34.5
Since we know 36 - 36 doesn't equal 34.5 its not true so there is NO ANSWER.