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3 years ago

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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The question is in the picture. Plz helppp it is due tonight

Mkey [24]

Answer:

Step-by-step explanation:

We're given one equation, we have to find the other equation and solve each for 200, and whichever has the lower x is the winner

for Jayden we are given

$(0, 48), (1, 56), (2, 64), (3, 72), (4, 80)$

This looks to be a line. The y values are each separated by a common difference

We can use two points to describe the line

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{80-48}{4-0} = \frac{32}{4} = 8\\ K = 8m + b\\48 = 8(0) + b\\b = 48\\so\\K = 8m + 48$

Now we can set both $K = 8m + 48$ and $K = m^2 + 10$ equal to 200

$200 = 8m + 48\\152 = 8m \\m = \frac{152}{8} = 19$

$200 = m^2 + 10\\m^2 = 190\\m = \sqrt{190} = 13.784$

Keiko's blog will reach 200 subscribers fastest.

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3 years ago

Simplify. Assume that letters represent any real number.

TiliK225 [7]

$\sqrt[5]{x^5}=x\\\\32^\frac{3}{5}=\left(32^\frac{1}{5}\right)^3=\left(\sqrt[5]{32}\right)^3=2^3=8$

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3 years ago

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You go to a restaurant where all entrees cost the same and all appetizers cost the same.

krok68 [10]

To do this you need to know simultaneous equations (which i don’t know if you have learnt it) but this is really hard to explain by words so i hope you can understand by the working out i did

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2 years ago

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Answer:

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