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OLEGan [10]
3 years ago
7

Solve |x|>3 A.{-3,3} B.{x|x<-3 u x>3} C.{x|x<-3Ωx>3}

Mathematics
1 answer:
Talja [164]3 years ago
6 0

|x| > 3\iff x > 3\ \vee\ x < -3\\\\Answer:B.\ \{x|\ x < -3\ \vee\ x > 3\}

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Write the equation of the line in fully simplified slope-intercept form.​
Aneli [31]

Answer:

y = -\frac{1}{5}x -1

Step-by-step explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

(x_1,y_1) = (-5,0)

(x_2,y_2) = (0,-1)

Next, calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-1-0}{0 -(-5)}

m = \frac{-1}{0 +5}

m = -\frac{1}{5}

The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -\frac{1}{5}(x - (-5)) + 0

y = -\frac{1}{5}(x +5)

Open bracket

y = -\frac{1}{5}x -1

4 0
3 years ago
The length of a rectangle is 4 cm less than twice the width. Express as an integer the maximum width of the rectangle when the p
Paladinen [302]
Let, the width = x
length = 2x - 4

Perimeter = 2(l+w)
Substitute their values, 
72 = 2(x+2x-4)
72 = 2(3x-4)
6x - 8 = 72
6x = 80
x = 80/6
x = 13.3

In short, Your Answer would be 13.33 cm

Hope this helps!
7 0
3 years ago
Which unit rates would be appropriate for describing the amount of rainfall over time? Choose two answers.
lesya [120]
Inches per hour and centimeters per day I believe 
6 0
3 years ago
Rosa is at most 29 years old
liq [111]

Answer:

R≤29.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Jaclyn estimates the square root of 50 in the following way:
OLga [1]
<h2>Hello!</h2>

The answer is:

a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

\sqrt{200}=14.14

and rounding to the nearest tenth, we have that:

\sqrt{200}=14.1

<h2>Why?</h2>

To solve the problem, we need to remember the following property of square roots:

\sqrt{ab}=\sqrt{a}*\sqrt{b}

We are given the expression:

\sqrt{200}

We can rewrite it by the following way:

\sqrt{100*2}

Now, applying the square root property we have:

\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14

Therefore,

a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

\sqrt{200}=14.14

and rounding to the nearest tenth, we have that:

\sqrt{200}=14.1

Have a nice day!

6 0
4 years ago
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