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lora16 [44]
2 years ago
10

Which is a graph for the inequality x>2?

Mathematics
2 answers:
skad [1K]2 years ago
4 0

Answer: The one you have selected is correct.

Step-by-step explanation:

Since x > 2 does not include the value of 2, the circle must be open.

The direction is to the right because it's every value which is bigger than 2.

Ilya [14]2 years ago
3 0
<h3>Explanation:</h3>

<u>We know that:</u>

  • < and > signs are used when the <u>origin</u> is <u>half shaded.</u>
  • ≤ and ≥ signs are used when the <u>origin</u> is <u>fully shaded.</u>

Given inequality: x > 2

<u>Information that should be noted:</u>

  • The inequality states that x <u>must</u> (>) be greater than <u>2.</u>
  • This means that the <u>black line</u> should start at "2" and move <u>farther</u> away from the <u>origin.</u>
  • Since the sign ">" is used, the origin must be <u>half shaded.</u>

Thus, we can conclude that Option D is correct.

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Stolb23 [73]

Answer: it is A that right

8 0
2 years ago
Read 2 more answers
If 3a + 2b = 7 and 2a + 2b = 9 , what is the value of
Simora [160]
Hey there :)

We have two equations:
3a + 2b = 7 
2a + 2b = 9

We need to solve simultaneously to find the values of a and b

eq.1    3a + 2b = 7
eq.2 ( 2a + 2b = 9 ) x -1  ) multiply by -1 to cancel 2b

  3a + 2b = 7
- 2a - 2b = -9         ( Add both together )
-------------------
   a = - 2 

Substitute the value you found for a in a in order to find b

3( - 2 ) + 2b = 7                                                     2( - 2 ) + 2b = 9 
- 6 + 2b = 7                                    OR                  - 4 + 2b = 9
2b = 13                                                                   2b = 13        
b = \frac{13}{2}                                                                 b = \frac{13}{2} 

3 0
3 years ago
Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0
3 years ago
Solve the slope for the table.
Elena-2011 [213]

Answer:

Slope = -3

Step-by-step explanation:

8-17/0+3=-9/3=-3 : Slope Formula

4 0
2 years ago
5. Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work.
Roman55 [17]
Refer to the figure shown below.
We shall review each of the three given measurements and decide what type of triangle we have.

Measurement a.
a=3, b=4, c=5.
For a right triangle, c² = a² + b² (Pythagorean theorem)
a² + b² = 3² + 4² = 9 + 16 = 25
c² = 5² = 25
Answer:
This is a right triangle, because c² = a² + b².

Measurement b.
a=5, b=6, c=7.
For an acute triangle, c² < a² + b².
a² + b² = 5² + 6² = 25 + 36 = 61
c² = 7² = 49
Answer:
This is an acute triangle, because c² < a² + b².

Measurement c.
a=8, b=9, c=12.
For an obtuse triangle, c² > a² + b².
a² + b² = 8² + 9² = 64 + 81 = 145
c² = 12² = 144
Answer:
This is an acute triangle because c² < a² + b².

6 0
3 years ago
Read 2 more answers
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