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timama [110]
3 years ago
12

Where on a number line are the numbers x for which |x|>1

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the inequality

|x|> 1

The modulus of x shows that x can be both positive and negative value.

If x is positive:

x>1

1<x

If x is negative:

-x>1

Multiplying both sides of the inequality by minus will change the inequality sign

x < -1

Combining both inequalities:

1<x<-1

Find the position on the number line in the attachment

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5(y+2/5)=-13<br> what is y
jolli1 [7]

Answer:

y=11/5

Step-by-step explanation:

first divide by 5 on both sides

y+2/5=-13/5

subtract 2/5 on both sides to isolate the y

y=11/5

:))

8 0
2 years ago
Read 2 more answers
A produce supplier ships boxes of produce to individual customers. The distribution of weights of shipped boxes is approximately
schepotkina [342]

Answer:

0.67(4)+ 36

Option D

Step-by-step explanation:

Given that a producer ships boxes of produce to individual customers.(say x)

X is a normal random variable with mean = 36 and std dev  =4 lbs

By definition of std normal variate we know that

\frac{x-36}{4} is N(0,1)

75th percentile of std normal distribution is

0.675

Hence corresponding x would be

36+0.675(4)

Option D matches with this value

Hence answer is option D

0.67(4)+ 36

5 0
3 years ago
Read 2 more answers
You mix 3 and one half quarts of juice with 5 and one fourth quarts of ginger ale to make fruit punch. What is the ratio of the
Romashka [77]

Answer:

1.5:2.25 because there is 1.5 quarts of juice and 2.25 quarts of ginger ale and the you put that with the to sign and there you have it




3 0
3 years ago
A boat can travel 40mph in still water. If it travels 126 miles with the current in the same length of time it travels 114 miles
Elena-2011 [213]

Answer:

rate of the current = 2 mph

Step-by-step explanation:

d = rt

Let c = rate of the current

Rate going downstream = c + 40

Time going downstream = 126/(40 + c)

Rate going up stream =  40 - c

Time going upstream = 114/(40 - c)

Since the times are equal, then

126/(40 + c) = 114/(40 - c)

126(40 - c) = 114(40 + c)

5040 - 126c = 4560 + 114c

   240c  =  480

          c = 2 mph

8 0
2 years ago
What is the solution to x4 - 12x2+10&gt;0
alexira [117]

Answer:

  (-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)

Step-by-step explanation:

Using x^2 = z, the equation can be rewritten as ...

  z^2 -12z +10 > 0

  (z -6)^2 -26 > 0

  |z -6| > √26

This resolves to two equations.

This one ...

  x^2 -6 < -√26 . . . . substitute x^2 for z

  |x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|

  -√(6-√26) < x < √(6-√26)

__

and this one ...

  x^2 -6 > √26

  |x| > √(6 +√26)

  x < -√(6 +√26) ∪ √(6 +√26) < x

5 0
3 years ago
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