All categories

3 years ago

Solve each absolute value in number line. 11. 2x - +3>4

Mathematics

1 answer:

loris [4]3 years ago

6 0

Answer:

$x>\frac{7}{2}$

Step-by-step explanation:

2x - 3 > 4

Add 3 to both sides.

2x - 3 + 3 > 4 + 3

Simplify.

2x > 7

Divide both sides by 2.

$\frac{2x}{2} >\frac{7}{2}$

Simplify.

$x>\frac{7}{2}$

You might be interested in

Geometry i need help cause my homework is due tomorrow!!

dem82 [27]

It is C because a straight line is 180 degrees, eliminating A. That being said, the “bigger angle” is 12x-30 because it is obtuse. B and D are both acute, while C is obtuse. You can also find the answer by finding x as in the equation 3x+(12x-30)=180. By simplification, x=14. So, plugging it in, 12(14)-30=138.

4 0

3 years ago

Read 2 more answers

Find the slope of the line passing through the following points: (-12, -56), (-57,39).

Gnoma [55]

$(\stackrel{x_1}{-12}~,~\stackrel{y_1}{-56})\qquad (\stackrel{x_2}{-57}~,~\stackrel{y_2}{39}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{39}-\stackrel{y1}{(-56)}}}{\underset{run} {\underset{x_2}{-57}-\underset{x_1}{(-12)}}} \implies \cfrac{39 +56}{-57 +12} \implies \cfrac{ 95 }{ -45 } \implies {\Large \begin{array}{llll} - \cfrac{19 }{ 9 } \end{array}}$

3 0

1 year ago

Read 2 more answers

Find the area of the trapezoid

Shalnov [3]

Answer: 8

Step-by-step explanation: so we can count the middle four, then the sides are basically two triangles that are the same, so we put them together and you get 4 more, so 4 plus 4 is 8

7 0

3 years ago

Solve for x! 37m,12m,5xm

dmitriy555 [2]

Answer:

$\Huge\boxed{x=7}$

Step-by-step explanation:

Hello there!

The first thing we want to do is find the measure of the large leg

To do so we use the Pythagorean theorem which says $a^2+b^2=c^2\\$

where a and b are legs and c is the hypotenuse

we want to find b given the hypotenuse and short leg

so $b^2=c^2-a^2$

all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)

$b^2=37^2-12^2\\37^2=1369\\12^2=144\\1369-144=1225\\b^2=1225\\\sqrt{b^2} =b\\\sqrt{1225} =35\\b=35$

so the longer leg is equal to 35

35=5x

divide each side by 5

5x/5=x

35/5=7

we're left with x=7

3 0

3 years ago

Which value of the vanable is a solution of the inequality? t<-6<br> 7<br> 6<br> -6<br> -7

oksian1 [2.3K]

Answer:

-7

Step-by-step explanation:

-7 is a solution of the inequality t<-6

By the way, for the number -6, you can think about a temperature below zero. When it is freezing 6 degrees below zero (-6) it is pretty cold.

The question is which number(s) can you substitute for t so that the formula (the inequality) is True.

So let's try for each given value and substitute it for t in t<-6

if you substitute 7 for t you get this:

Is 7 smaller then -6 ?

No that is not true because 7 is bigger then -6.

if you substitute 7 for t you get this:

Is 7 smaller then -6 ?

No that is not true because 7 is much bigger then -6.

if you substitute 6 for t you get this:

Is 6 smaller then -6 ?

No that is not true because 6 is much bigger then -6.

if you substitute -6 for t you get this:

Is -6 smaller then -6 ?

No, that is NOT true because -6 is exactly the same as -6 but NOT smaller then -6...

if you substitute-7 for t you get this:

Please think about temperatures below zero again.

Is -7 colder the -6 ? If so, then the statement is true...

Is -7 smaller then -6 ?

Yes that is true!

So -7 is a solution of the inequality t<-6

6 0

3 years ago