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arsen [322]
3 years ago
9

Which compound inequality is represented by the graph?

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer: Choice C

x < -2 \ \text{ or } \ x \ge 4

========================================================

Explanation:

The blue portion on the left is represented by x < -2 as it describes values smaller than -2. Notice the open hole at -2 which indicates we do not include this value. So that's why we go with x < -2 instead of x \le -2

The blue portion on the right is represented as x \ge 4 describing values that are equal to 4, or larger than 4.

So overall, the entire graph visually represents x values such that x < -2 \ \text{ or } \ x \ge 4

Side note: the "or" means we pick one region or the other, but not both regions at the same time.

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If a rectangle is 5 units wide and x units high what is its perimeter?
Dominik [7]

Answer:

  10 +2x

Step-by-step explanation:

Put the given values into the perimeter formula and simplify.

  P = 2(L+W)

  P = 2(5 + x)

  P = 10 +2x . . . . the perimeter of the rectangle in units

5 0
3 years ago
5. Find the vertex and length of the latus rectum for the parabola.
olga55 [171]

Answer: (2,5)

Step-by-step explanation:

To find the x coordinate of the vertex, you will set  x-2=0 and solve for x

x-2=0

 +2  +2

x = 2  

Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.

y= 1/2(2-2)^2 + 5

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3 years ago
1. Which other expression has the same value as (-14) - 8?​
ludmilkaskok [199]

Answer: −22

Step-by-step explanation:

=−14−8

=−14+−8

=−22

6 0
3 years ago
I NEED HELP!!! What is is this ----&gt; 3x - 3y = 3 12x + 8y = -8 <br> x = what <br> y = what
fgiga [73]

Answer:

3x = 3 + 2y -------------> 3x - 2y = 3 {subtracted 2y from each side of top equation}

(-4/3)x + y = -2/3 ------> -4x + 3y = -2 {multiplied bottom equation by 3}

3x - 2y = 3 ------> 12x - 8y = 12 {multiplied top equation by 4}

-4x + 3y = -2-----> -12x + 9y = -6 {multiplied bottom equation by 3}

12x - 8y = 12

-12x + 9y = -6

--------------

y = 6 {added the two equations}

3x = 3 + 2y {original top equation}

3x = 3 + 2(6) {substituted 6, in for y, into top equation}

3x = 3 + 12 {multiplied}

3x = 15 {added}

x = 5 {divided each side by 3}

x = 5 and y = 6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
3/4 x 4/9 gggmggmgmmgmgmggmgmggg
Bogdan [553]

Answer:

(3/4)*(4/9)

=3/9

=1/3 or 0.33

3 0
3 years ago
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