All categories

3 years ago

18) Which expression can go in the

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

Expand it (2/7z -3/5x)2

svet-max [94.6K]

( 2 / 7 z - 3 / 5 x ) 2

3 0

3 years ago

What is the solution of x=2+ square root x-2?

alex41 [277]

So I'm going to assume that this question is asking for non extraneous solutions, or solutions that are found in the equation and are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

$x-2=\sqrt{x-2}$

Next, square both sides:

$(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2$

Next, subtract x and add 2 to both sides of the equation:

$x^2-5x+6=0$

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

$x^2-2x-3x+6=0$

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$x(x-2)-3(x-2)=0$

Now you can rewrite the equation as $(x-3)(x-2)=0$

Now, apply the Zero Product Property and solve for x as such:

$x-3=0\\x=3\\\\x-2=0\\x=2$

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

$2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}$

Since both solutions hold true when x = 2 and x = 3, your answer is C. x = 2 or x = 3.

8 0

3 years ago

9 – 4x = 2x whats the ancewer

zmey [24]

Answer:

3/2 is the answer

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

He figure shows a parallelogram inside a rectangle outline:

N76 [4]

Answer:

4/25 foot²

Step-by-step explanation:

Refer to attachment*

5 0

2 years ago

Read 2 more answers

Need answer ASAP giving points

dalvyx [7]

Answer:

$- \frac{11}{12}$

Step-by-step explanation:

$\frac{ \frac{5}{8} + \frac{3}{4} }{ \frac{ - 2}{3} - \frac{5}{6} } = \frac{ \frac{5}{8} + \frac{6}{8} }{ \frac{ - 4}{6} - \frac{5}{6} } \\ \\ = \frac{ \frac{5 + 6}{8} }{ \frac{ - 4 - 5}{6} } \\ \\ = \frac{ \frac{11}{8} }{ - \frac{9}{6} } \\ \\ = \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ = \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ = \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ = \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ = - \frac{11}{12}$

8 0

3 years ago