Solve the inequality 5x-7<2x -1

Answers

Answer 1

Answer: You have to move the x's to one side so
5x-2x<-1+7
3x<6
Then you get x alone so you divide both sides by 3
X<2
You switch the sign
X>2

Answer 2

Answer: To solve the inequality, we have to isolate x. Here's how:

$5x-7\ \textless \ 2x-1 \n (5x-7)+7\ \textless \ (2x-1)+7 \n 5x\ \textless \ 2x+6 \n (5x)-2x\ \textless \ (2x+6)-2x \n 3x\ \textless \ 6 \n (3x)/(3) \ \textless \ (6)/(3) \n x\ \textless \ 2$

Your answer is x<2.

Hope this helps!

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Consider quadrilateral EFGH.Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The length of E F is 4 n minus 4, the length of F G is 3 n + 3, and the length of G H is 2 n + 6.

What is the length of line segment GH?

5 units
7 units
16 units
24 units

Answers

Given:

In quadrilateral EFGH, $FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6$

To find:

The length of segment GH.

Solution:

Draw a figure according to the given information as shown below.

In quadrilateral EFGH, $FG\parallel EH,\angleE\cong \angle H$ , it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.

Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.

$EF=GH$

$4n-4=2n+6$

$4n-2n=4+6$

$2n=10$

Divide both sides by 2.

$n=(10)/(2)$

$n=5$

Now,

$GH=2n+6$

$GH=2(5)+6$

$GH=10+6$

$GH=16$

Therefore, the correct option is C.

Answer:

the answer is C

Step-by-step explanation:

A rectangular shoebox has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How long is the shoebox?

Answers

Okay to solve this you need to divide the volume to the two measurements
728 ÷ 8 = 91 ÷ 6.5 = 14

Anyone know 14!!!!! Please help me!!!!!:(

Answers

-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;

-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.

I can see the function right now, but I'll show you how to go through the steps to
find the function. I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ?
Somebody give me the answer !".

Just take a look at what has already been handed to you:

0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees

You know three points on the line !

(0, 65) , (1, 62) , and (2, 59) .

For the first point, 'x' happens to be zero, so immediately
you have your y-intercept ! ' b ' = 65 .

You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are firing 3 employees per month.
("Losing" them doesn't quite capture the true spirit of what is happening.)

So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .

is W(n) = 65 - 3n .

What is more precise 5 kg or 5212 g

Answers

5212 grams, because it uses a smaller and more specific unit.
5 kg is 5212 g rounded to the nearest kilogram.

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal’s equations has no solution?

Answers

Answer: The equation 3x + 2 = 3x - 2 has no solutions.

Step-by-step explanation:

So far, we know that we have four equations, and we have to find one that has no solutions. We can first examine them like Jubal did:

7x + 1 = 7x+ 1

3x + 2 = 3x - 2

4x + 1 = 3x + 8

-2x + 1 = -2x + 1

Just by looking at this, we see here that two of these equations look exactly the same even on the other side of the equation sign:

7x + 1 is the same as 7x + 1 AND

-2x + 1 is the same as -2x + 1

So we know that these are identities, meaning, they have infinitely many solutions. So, they cannot have no solutions because they are the ultimate opposite of that.

Next, looking at the other problems, we see that:

4x + 1 = 3x + 8 AND

3x + 2 = 3x - 2

Let's just take a look at the second equation from this selection. We see that this equation looks almost exactly the same on both sides of the equation sign, EXCEPT that the constants are different ( I mean 2 and -2 ). IF we WERE to add/subtract two from both sides, they wouldn't cancel out but instead leave you with 4. If you had subtracted the 3xs, then you would have been left with 0. So, 0 does NOT equal 6, so therefore, this has no solutions.

And what about 4x + 1 = 3x + 8?

If you just take a look at it, it only has one solution.

Hence, 3x + 2 = 3x - 2 has no solutions.

Step-by-step explanation:

pls make me as brainliest

What is answer to 12=4x what is x

Answers

Division Property of Equality.
Always use opposite operation with side that contains variable.

Isolate variable.
Divide 4 by 4 to get it by itself.

Now do the same to other side.
$12/4=3\nx=3$

12 = 4 x / / / Divide each side by 4. / / / 3 = x .

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