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horsena [70]
3 years ago
8

Some one please help !!! How do I solve -1<-x/3<1

Mathematics
1 answer:
MArishka [77]3 years ago
4 0
- 1 < - x/3 < 1
1st. Multiply all parts by 3:

-3 < - 3x/3 < 3. Simplify the mid term:

-3 < -x <  3. Now multiply all terms by - 1. Note when you multiply by a negative number, you flip the inequality signs:

(-1)(-3) < (-1)(-x) < (-1)(3)

+3 > x> -3

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The circumference of a circle is 11r inches. What is the area, in square inches, of the circle? Express your answer in terms of
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69.12r square inches

Step-by-step explanation:

C = 2πr

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4 years ago
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2*cosx*(2x+30°) + √3=0
MAXImum [283]

Answer: x  ≈  1.59688927,  −1.60312387,  −4.67045686,  4.69039614,  7.872914,  −7.91513776,  −10.89002194

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Simplify 2*cosx*(2x+30°) + √3=0

    Simplify each term.  

       Apply the distributive property.

  • 2  cos ( x )   ( 2 x )  + 2  cos ( x )  * 30 °  + √ 3 = 0
  • Multiply  2  by  2
  • 4  cos ( x )  x  +  2  cos ( x )  *30 ° + √ 3 = 0
  • Multiply  30 °by  2  
  • 4 cos ( x )  x  +  60 cos ( x ) + √ 3 = 0
  • Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √3
  • 4xcos(x)+60cos(x)+√3=0
  • Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194

3 0
3 years ago
Read 2 more answers
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
wel

Answer:

y=\frac{6}{5}x-5

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

<u>1) Determine the slope (m)</u>

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

Plug in the two given points (0,-5) and (5,1)

m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}

Therefore, the slope of the line is \frac{6}{5}. Plug this into y=mx+b:

y=\frac{6}{5}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{6}{5}x+b

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

y=\frac{6}{5}x-5

I hope this helps!

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3 years ago
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