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qwelly [4]
3 years ago
14

Which inequality matches the graph?

Mathematics
2 answers:
ipn [44]3 years ago
4 0
The fourth option is the correct one

-5p+4> 14
-5p>10
-p>2
soldi70 [24.7K]3 years ago
4 0
The graph shows p > 2. There is no line under the "greater than" sign since we want to exclude the endpoint p = 2. This is what the open hole indicates.

Solve each of the answer choices to see which leads to p > 2

----------------
Choice A
5p+4 > 14
5p+4-4 > 14-4
5p > 10
5p/5 > 10/5
p > 2

So we found the answer on the first try. 

Let's check the others
----------------
Choice B

This will follow the same exact steps as choice A above, but instead we'll have an underline under each "greater than" sign. As explained above, there is no underline. So we can rule out choice B.
----------------
Choice C

5p-4 > 14
5p-4+4 > 14+4
5p > 18
5p/5 > 18/5
p > 3.6

We can eliminate choice C
----------------
Choice D

-5p+4 > 14
-5p+4-4 > 14-4
-5p > 10
-5p/(-5) < 10/(-5) ... inequality sign flips
p < -2 

We can eliminate choice D
----------------

So the only answer is choice A

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Step-by-step explanation:

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Step-by-step explanation:

( {6}^{ - 2}  \times  {6}^{5} ) ^{ - 3}  \\  = ( {6}^{3} )^{ - 3}  \\  =  {6}^{0}  \\  = 1

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Step-by-step explanation:

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What is the equation of the line that is perpendicular to the given line and passes through the point (5,3)
Pani-rosa [81]

perpendicular lines have a slope that is a negative reciprocal


A) 4x-5y=5

subtract 4x

solve for y

-5y = -4x+5

divide by -5

y = 4/5 x+5   slope is 4/5  perpendicular slope is -5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = -5/4 (x-5)

B)  5x+4y = 37

subtract 5x

4y =-5x +37

divide by 4

y =-5/4 x +37/4  slope is -5/4 perpendicular slope is 4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = 4/5 (x-5)

C)4x+5y=5

subtract 4x

5y = -4x +5

divide by 5

y = -4/5 x +1

y =-4/5 x +1  slope is -4/5 perpendicular slope is 5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = 5/4 (x-5)

D)5x-4y=8

subtract 5x

-4y = -5x+8

divide by -4

y = 5/4 x-2

y =5/4 x +-2 slope is 5/4 perpendicular slope is -4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = -4/5 (x-5)



6 0
3 years ago
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