All categories

3 years ago

Can someone please help? i don’t know how to solve this.

Mathematics

2 answers:

Charra [1.4K]3 years ago

8 0

Answer:

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)

kondor19780726 [428]3 years ago

5 0

Answer:

x >= 2 or x <= -2

Step-by-step explanation:

|x|>= 2

Means the absolute value of x is greater than or equal to two.

When we deal with absolute value, we can equivalently break into two cases

+x >= 2 => x >= 2

-x >= 2 => x <= -2

On the number line it looks like what is shown in the attached figure.

You might be interested in

Ill give brainliest

Savatey [412]

C. For sure. Hope it helps

6 0

2 years ago

1 over 4a = 2 over 3. Which of the following equals a in this equation?

dlinn [17]

Answer:

3/8

Step-by-step explanation:

The equation is given as:

$1/4*a=2/3$

We can simply the equation by getting rid of the denominators which is 4a and 3. Therefore we can multiply both sides with 3*4*a:

$(1/4*a)3*4*a=(2/3)*3*4*a$

On the left hand side 4a cancels with 4a and on the right hand side 3 cancels with 3. We are left with:

$3=2*4*a$

∴ After simplying

$a=3/8$

4 0

2 years ago

When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:

bearhunter [10]

Answer:

A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.

Step-by-step explanation:

Given

$3x - 3y = 1$

$-2x+ 4y = 2$

Required

A good first step

A good first step is to eliminate x and this is done as follows:

Multiply $3x - 3y = 1$ by 2 (gotten from coefficient of x in the second equation)

Multiply $-2x+ 4y = 2$ by 3 (gotten from coefficient of x in the first equation)

This gives:

$6x - 6y = 2$

$-6x + 12y = 6$

Add both equations

$6x - 6x - 6y + 12y = 2 + 6$

$6y = 8$

$y = \frac{4}{3}$

<em>Hence (a), is true</em>

5 0

3 years ago

Show all work to solve by factoring 3x^2 − x − 2 = 0.

shtirl [24]

Answer:

The solutions are x=1 and x=-2/3

Step-by-step explanation:

we have

$3x^{2}-x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2}-x=2$

Factor the leading coefficient

$3(x^{2}-(1/3)x)=2$

Complete the square. Remember to balance the equation by adding the same constants to each side

$3(x^{2}-(1/3)x+(1/36))=2+(1/12)$

$3(x^{2}-(1/3)x+(1/36))=25/12$

Rewrite as perfect squares

$3(x-(1/6))^{2}=25/12$

$(x-(1/6))^{2}=25/36$

square root both sides

$(x-(1/6))=(+/-)(5/6)$

$x=(1/6)(+/-)(5/6)$

$x=(1/6)(+)(5/6)=1$

$x=(1/6)(-)(5/6)=-2/3$

4 0

3 years ago

A company has 10 male and 11 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many di

Anvisha [2.4K]

2475 different teams can be formed.

Combination is the way in which items can be selected from a collection. If we have n total objects and r objects want to be selected, the number of combinations is:

$C(n,r)=\frac{n!}{(n-r)!(r)!}$

Since we need to nominate 2 men from a company of 10 males, the number of ways this can be done = $C(10,2)=\frac{10!}{(10-2)!(2)!} =45\ ways$

Also, we need to nominate 2 women from a company of 11 females, the number of ways this can be done = $C(10,2)=\frac{11!}{(11-2)!(2)!} =55\ ways$

Therefore the total number of different teams that can be formed = 45 ways * 55 ways = 2475 ways

Find more at: brainly.com/question/8018593

3 0

2 years ago