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3 years ago

What is the algebraic expression for 9 less than the square root of a number?

Mathematics

2 answers:

Pie3 years ago

3 0

Answer:

4 is the square root of 2 and it's less than 9

eduard3 years ago

3 0

$✿\:Let\: the\:number\:be\:x$

$As\:per\: Question\:$

$\large{\color{cyan}{Expression\::}}$

$\rightarrow{\sqrt{x}\:-\:9}$

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QUESTION 1

SVEN [57.7K]

Answer:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

Step-by-step explanation:

Question 1)

The given inequality is:

$\frac{5}{12}-\frac{x-3}{6} \leq \frac{x-2}{3}$

Step 1: Making the denominators common for all fractions

$\frac{5}{12}-\frac{2}{2} \times \frac{x-3}{6} \leq \frac{4}{4} \times \frac{x-2}{3}$

This step is done correctly in the given solution.

Step 2: Simplifying

$\frac{5}{12}-\frac{2x-6}{12}\leq \frac{4x-8}{12}$

This step is done correctly in the given solution

Step 3: Multiplying both sides by 12, and simplifying.

$5-(2x-6)\leq 4x-8\\\\ 5-2x+6\leq 4x-8$

First error is made in this step. While opening the brackets, the negative sign should be distributed inside the bracket, which will change the signs.

Step 4: Simplification:

$11-2x\leq 4x-8$

Step 5: Moving Common terms to one side and simplifying

$-2x-4x\leq -8-11\\\\ -6x\leq -19$

Error was made in this step. When a number is moved to other side, its sign will be changed.

Step 6: Dividing both sides by -6

$x\geq \frac{19}{6}$

Conclusion:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

Question 2:

In the Equation 2: 12=-4(-6x-3), when -4 will be multiplied inside the brackets, the 12 on eft hand side will cancel the 12 that will appear on right hand side, giving a result that will lead to x = 0.

Same is the case with Equation 6: x+5=-5x+5, 5 on both sides will cancel out leaving x = 0.

So, 2nd and 6th equations will have the same solution.

In Equation 1, on expanding the bracket and moving 7 to other side, we get a relation: 4x = 16

In Equation 3, on simplifying the right hand side, and carrying common terms to one side, we get the relation: - 9x = -36

In Equation 5, on expanding the bracket and simplifying the relation is reduced to 4 = x

It can be observed that all these 3 equations have the same solution i.e. x = 4

So, the following set of Equations have the same solution:

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

6 0

3 years ago

Read 2 more answers

0.4(5x-15)=2.5(x+3) what is the value of x?

stiv31 [10]

$0,4(5x-15)=2,5(x+3)\\\\2x-6=2,5x+7,5\\\\2x-2,5x=7,5+6\\\\-0,5x=13,5 \ \ /\cdot(-2)\\\\\huge\boxed{x=-27}$

5 0

2 years ago

Read 2 more answers

In which order would the following numbers come from least to greatest?

Mekhanik [1.2K]

Answer:

-7/3, 0.5, 2/3, 3/4, 1.2 valued least to greatest

Step-by-step explanation:

-7/3 is negative then 0.5 then 2/3 is .6666 as a decimal then 3/4 which is .75 as a decimal and then 1.2

6 0

2 years ago

What is 2/3 simplified

KonstantinChe [14]

2/3 simplified is 2/3

7 0

3 years ago

Read 2 more answers

there are 4 sections of seats I the playhouse theatre. each section has 7 groups of seats.each group has 25 seats. how many seat

Nady [450]

To find the number of seats, let's do it using multiplication!

First, to see how many seats are in one big section of the theatre, multiply 7 groups of seats by 25 seats:

7 x 25 = 175

Now, knowing this, multiply 175 by 4 to get the total number of seats in the theater!

175 x 4 = 700

Therefore, there are 700 seats in the theatre.

Hope this helps!

3 0

2 years ago