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jek_recluse [69]
3 years ago
9

Solve 4(x - 3) - 2x - 1) > 0​

Mathematics
2 answers:
fgiga [73]3 years ago
6 0

Answer:

x > 5.5

Step-by-step explanation:

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

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

solong [7]3 years ago
5 0

Answer:

x>13/2

Step-by-step explanation:

4x-12-2x-1>0

2x-13>0

2x>13

X>13/2

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What is the value of x in the figure below? in this diagram abd cad
sergiy2304 [10]

Answer:

Option E is correct.

Step-by-step explanation:

We have been two similar triangles and we are asked to find out the value of x.

Since we know that corresponding sides of similar triangles are in same ratio. We will set the ratio of corresponding sides to find out our x.

\frac{AB}{CA} =\frac{BD}{AD} =\frac{AD}{DC}

Now we will substitute our given values in this ratio.

\frac{5}{x} =\frac{x}{9}

Now let us solve for x.

x^{2} =45

After taking the square root of both sides of the equation we will get,

x=\sqrt{45}

Therefore, option E is the correct choice.

4 1
3 years ago
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Suppose each cube in this right rectangular prism is a 1/2 -inch unit cube.
Nadusha1986 [10]
A. So dimension is like the length, width, and height. The length is 2 cm (4 cubes), the width is 2 and a half cm (5 cubes), and the height is 1 and a half cm (3 cubes).
b. To get the volume you have to multiply the length and width by the height. Which would be 4 cubes (length)× 3 cubes (height)= 12 cubes. Then 5 cubes (width)×3 cubes (height)= 15 cubes. After you do that you have to multiply the two answers (12 cubes×15 cubes). So the answer is 180. I think this is right and I hope it helps. 
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3 years ago
What is the solution to the system of equations below?
Karolina [17]

Answer:

The solution is the point (18,0)

Step-by-step explanation:

we have

y=-\frac{1}{3}x+6 -----> equation A

y=\frac{1}{3}x-6 -----> equation B

Solve the system by substitution

substitute equation B in equation A

\frac{1}{3}x-6=-\frac{1}{3}x+6

solve for x

Adds (1/3)x both sides

\frac{1}{3}x-6+\frac{1}{3}x=6

\frac{2}{3}x-6=6

Adds 6 both sides

\frac{2}{3}x=6+6

\frac{2}{3}x=12

x=12(3)/2\\x=18

<em>Find the value of y</em>

substitute the value of x in equation A or equation B

y=-\frac{1}{3}(18)+6=0

therefore

The solution is the point (18,0)

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3 years ago
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Answer:

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Step-by-step explanation:

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