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zavuch27 [327]
3 years ago
10

Explain what is the difference between (-6) to the power of 2 and -6 to the power of 2.

Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer:

Step-by-step explanation:

(-6)² = -6*-6

(-6)² = 36

-(6)² = -(6*6)

-(6)² = -36

The sign is affected by potency

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Which equation has infinitely many solutions? A) 4x + 3 3 = 4x + 5 B) 10x + 8 2 = 5x + 4 C) 8x − 5 3 = 2x − 2 D) 8x − 5 2 = 4x −
abruzzese [7]

Answer: If the left side and the right side of the equation are equal, the equations has  infinitely many solutions.

Step-by-step explanation:

The options are not clear, so I will give  you a general explanation of the procedure you can use to solve this exercise.

The Slope-Intercept form of the equation of a line is the following:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System  of equations has Infinitely many solutions.

If you  have the following system:

\left \{ {{y=2x+1} \atop {y=\frac{12}{6}x+1}} \right.

You can simplify the second one:

y=2x+1

Then, both equations are the same line.

By definition you can also write the systemf making both equations equal to each other:

2x+1=2x+1

So, if the left side and the right side are equal, the equations has  infinitely many solutions.

3 0
3 years ago
Which graph represents the solution set of the system of inequalities?
Novay_Z [31]
Answer:
(see image)
bottom right image

Explanation:
First try the origin (0,0) to rule out two of the graphs. 
3y ≥ x - 9 
3(0) ≥ (0) - 9 
3 ≥ - 9  yes 
3x + y > - 3 
3(0) + (0) > - 3
3 > - 3 yes 
so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs. 
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa. 
Try point (4, 2)
3y ≥ x - 9 
3(2) ≥ (4) - 9
6 ≥  - 5 yes
3x + y > - 3 
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3 yes
So the graph is the bottom right one since (4, 2) is included in that shaded region.

4 0
3 years ago
Amy joined a DVD rental club. She paid an initial fee of $15.87 and it costs $0.82 per DVD she rents. The expression to show the
MrMuchimi

Answer:

$45.34

hope this helps

6 0
3 years ago
Read 2 more answers
∆ABC is similar to ∆PQR. AB¯¯¯¯¯ corresponds to PQ¯¯¯¯¯, and BC¯¯¯¯¯ corresponds to QR¯¯¯¯¯. If the length of AB¯¯¯¯¯ is 9 units
wel
The first blank is propyl 4 and the second is 2 (this is what I can tell if AB was 9 then PQ 3, so practically dividing by 3)
8 0
3 years ago
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A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario i
gavmur [86]

Answer:

25 used games

Step-by-step explanation:

Divide his money by the price for one used game

300/12

25

3 0
3 years ago
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