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Sav [38]
3 years ago
6

How do I solve this?

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

x is in the range [-1,4]

Step-by-step explanation:

I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.

We are given the following inequality:

| 2x - 3 | <= 5

This implies two possible cases:

[1] -5 <= 2x -3

Or

[2] 2x - 3 <= 5

So let's solve x for both of these cases:

[1] -5 <= 2x - 3

 -2 <= 2x

 -1  <= x

[2]  2x - 3 <= 5

 2x <= 8

  x <= 4

So from these cases, we can say the following is true:

x >= -1  and x <= 4

Thus, we can write this in the form

-1 <= x <= 4

Or in interval notation:

{ x is element of reals | -1 <= x <= 4}

Also written as

x is in the range [-1,4]

Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.

Cheers.

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Which of the following is not represented by the image below
love history [14]

Answer:

Line BD can't be represent by the image.

Explanation:

Point: Point is a dot or vertex of any figure or diagram. It represent by capital alphabet. So, B would be a point.

Line: A line is a straight path with both endless. It means we can extends line from both end. But in case of BD we can't extend from point B. So, it won't be line.

Ray: A ray is straight path with one endless. It means we can't extend line from one end and extend from another end. But we can extend AC from both end. It won't be a ray.

Line Segment: A line segement is straight path with end from both end. We can't extend from either end of the line. We can say CD would be line segment.

Option 2 is correct.



6 0
2 years ago
20 points time cause i appreciate the help
Crazy boy [7]

Answer: 4188.8

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If you can, please leave an explanation so I can learn how to do it rathe than just copying
castortr0y [4]

Answer:

Point-Slope: y+1=-5/7(x-5)

Slope Intercept: y=-5/7x+ 2 4/7

Standard: -5x+7y=18

Step-by-step explanation:

<u>Slope: -5/7</u>

Point slope is when the equation is in y-y1=m(x-x1) form.

I used the point (5,-1) but it really <u>doesn't matter</u> which one

Substitute it into (x1,y1)

y--1=-5/7(x-5)

y+1=-5/7(x-5) **2 minus signs is equal to 1 plus sign**

Slope-intercept is when the equation is in y=mx+b form.

y=-5/7x+b

To solve for b, plug in one of the points (again, I choose to use (5,-1)

(-1)=-5/7(5)+b

-1=-25/7+b is equal to asking -1=-3 4/7+b

b=2 4/7

Standard form is when it is in Ax+By=C

We'll covert from slope intercept to standard: y=-5/7+ 2 4/7

y=-5/7x+ 2 4/7 is the same as y=(-5/7x+ 18/7)

7y=5x+18 **Multiply both sides by 7, the common denominators**

-5x+7y=18 **Subtract 5x from both sides**

<em>Sorry it took it while to get everything down but I hope this helps~</em>

6 0
2 years ago
Find the sum of (x + 5),(-4x - 2) and (2x - 1)
Elina [12.6K]

Answer:

-x + 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

(x + 5) + (-4x - 2) + (2x - 1)

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                     -x + 5 - 2 - 1
  2. Combine like terms (Z):                     -x + 2
7 0
3 years ago
Read 2 more answers
A sprinkler is set to water the section of lawn represented by the shaded region in the circle below
Juli2301 [7.4K]

Answer:

We taking the same final exam

Step-by-step explanation:

I don’t know the answer that’s why I came here

6 0
2 years ago
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