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mariarad [96]
2 years ago
15

Solve |1-4x| > 7 (x-1.5 (xlx < -1.5 UX>1.5) (xx<-1.5 UX > 2)

Mathematics
1 answer:
Setler [38]2 years ago
3 0

If 1-4x\ge0, then by definition of absolute value

|1-4x| = 1-4x > 7 \implies 4x < -6 \implies x < -\dfrac32

On the other hand, if 1-4x, then

|1-4x| = -(1-4x) = -1 + 4x > 7 \implies 4x > 8 \implies x > 2

So, the overall solution to the inequality is interval union

\left(x < -\dfrac32\right) \cup (x > 2)

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A triangle has a perimeter of 77 centimeters. Each of the two longer sides of the triangle is three times as long as the shortes
leva [86]

Answer:

a = 33cm

b = 33cm

c = 11cm

Step-by-step explanation:

Let us say that the sides of the triangle are <em>a, b and c</em>

The perimeter of a triangle can be calculated by adding all three sides of the triangle.

Perimeter = <em>a + b + c</em>

<em />

Let side <em>c</em> be the shortest side of the triangle.

From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that

<em>a = 3c and b = 3c</em>

We can input these values into the perimeter of the triangle

Perimeter = <em>3c + 3c + c = 77</em>

<em>Perimeter = 7c = 77</em>

<em>c = 11</em>

The shortest side, c is = 11 cm

side a is 3 X 11 = 33cm

side b = 3 X 11 = 33 cm

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3 years ago
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Minchanka [31]

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It is 3,876 miles round trip to Craig's aunt's house.
KonstantinChe [14]

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Step-by-step explanation:

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3 years ago
What is the next number?<br> 3,4,6,9,13,18,24=
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7 0
3 years ago
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