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mariarad [96]
1 year 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]1 year 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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The equation of line v is y=9x+1. Line w is perpendicular to line v and passes through (3, – 2). What is the equation of line w?
Anna11 [10]

Answer:

Step-by-step explanation:

Remember the general form of a linear equartion: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

The equation of line v (y=9x+1) has a slope of 9. A perpendicular line with have a slope equal to the negative inverse of the reference line. So the line we want will have a slope of -(1/9). That gives us y = -(1/9)x + b. Any vale of b will produce a line that is perpendicular. But we want a line that goes through point (3,-2). All we need to do is find a value for b that will make that wish come true.

Use the point (3,-2) in y = -(1/9)x + b and solve for b:

y = -(1/9)x + b

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7 0
2 years ago
In the equation above k is a constant if y = 2 when x= 5 what is the value of x when y= 5
Tresset [83]

The value f x when y= 5 is 2

<h3>Variations </h3>

Let the given equation be y = k/x

where k is the constant

if y = 2 when x= 5, then;

k = xy

k= 2(5)

k = 10

In order to determine the value of x when y = 5

x = k/y

x = 10/5

x = 2

Hence the value f x when y= 5 is 2

Learn more on variation here: brainly.com/question/6499629

#SPJ1

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