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Monica [59]
3 years ago
15

Solve 4(x - 3) - 2(x - 1) >0.

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

Answer:

x >5

Step-by-step explanation:

4(x - 3) - 2(x - 1) >0

Distribute

4x -12 -2x +2 > 0

Combine like terms

2x -10 >0

Add 10 to each side

2x-10+10 > 10

2x>10

Divide each side by 2

2x/2 > 10/2

x >5

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What is an<br> equation of the line that passes through the points (-3, -1) and<br> (-6, 3)?
Andrej [43]

Answer:

y = -4/3x + 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= 3-(-1)/-6-(-3)

m= 4/-3

m= -4/3

then use point slope formula (y-y1) =m(x-x1)

(y-(-1)) = -4/3(x-(-3))

simplify

y+1 = -4/3x + 3

turn into slope intercept form

y = -4/3x + 2

8 0
3 years ago
I think it’s B. But I’m not sure <br><br> If it’s not can someone explain why?
Zigmanuir [339]

Answer:

C

Step-by-step explanation:

| x | > 10

Has solutions that go infinitely high to the right and infinitely low to the left on the number line.

That is x > 10 or x < - 10

This is indicated on Graph C

6 0
2 years ago
What is the graph for {3x+5y&lt;10 {x-y&lt;=1
Nostrana [21]
Sounds to me as tho you are to graph 3x+5y<10, and that after doing so you are to restrict the shaded answer area created by the "constraint" inequality x≤y+1.    OR x-1 ≤ y   OR  y≥x-1.  If this is the correct assumption, then please finish the last part of y our problem statement by typing   {x-y<=1}.

First graph 3x+5y = 10, using a dashed line instead of a solid line.

x-intercept will be 10/3 and y-intercept will be 2.  Now, because of the < symbol, shade the coordinate plane BELOW this dashed line.

Next, graph y=x-1.  y-intercept is -1 and x intercept is 1.  Shade the graph area ABOVE this solid line.

The 2 lines intersect at (1.875, 0.875).  To the LEFT of this point is a wedge-shaped area bounded by the 2 lines mentioned.  That wedge-shaped area is the solution set for this problem.
6 0
4 years ago
It would take an hour for plane A to meet plane B which is flying towards it. If the distance between them will be 200 miles aft
sammy [17]
Let a = speed of the plane A, and b = speed of plane B.
(Assume that the net effect of the wind is negligible.)
From the first sentence, the distance between A and B after each travels for 1 hour is a + b miles. From the second sentence, after 45 minutes, or 0.75 hour, the distance between A and B is 200 miles. Plane a has traveled 0.75a, while plane B has traveled 0.75b.
Hence a + b = 0.75a + 0.75b +200
==> 0.25(a + b) = 200.
==> a + b = 800.
Therefore planes A and B are 800 miles apart now.
3 0
3 years ago
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The value of a certain stock tripled. If you knew what the stock used to be worth, how would you find how much it is
SpyIntel [72]
Take the amount that it first was and multiple by 3…..?
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1 year ago
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