Answer:
x = -5 or x= 2
Step-by-step explanation:
|-4x-6| = 14
There are two solutions, one positive and one negative
-4x-6 = 14 -4x-6 = -14
Add 6 to each side
-4x-6+6 = 14+6 -4x-6+6 = -14+6
-4x = 20 -4x = -8
Divide by -4
-4x/-4 = 20/-4 -4x/-4 = -8/-4
x = -5 x = 2
The method that can be used to randomly choose these 500 people is the use of systematic random sampling.
<h3>What is random sampling?</h3>
Random sampling is defined as the method of sampling in which the whole sampling frame is being considered.
In order the survey a community of people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park, both the male and female should be considered.
The systematic random sampling will give the both male and female equal opportunity to the chosen.
Learn more about random sampling here:
brainly.com/question/17831271
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Answer:
x = imaginary number
x₁ = 2<em>i</em>
x₂ = 6<em>i</em>
Step-by-step explanation:
x/(x - 5) =4/(x - 4)
x(x-4) = 4(x-5)
x*x + x*-4 = 4*x * 4*-5
x² -4x = 4x - 20
x² -4x - 4x + 20 = 0
x² - 8x + 20 = 0
x = {-(-8)±√((-8²)-(4*1*20))} / (2*1)
x = {8±√(64-80)} / 2
x = {8±√-16} / 2
√(-16) ∈<em> i</em>
<em>i </em>= set of imaginary numbers
√-16 = -4<em>i</em>
then:
x = {8±(-4<em>i</em>) } / 2
x₁ = {8+(-4i)}/2 = {8-4i)/2 = 4i/2 = 2i
x₂ = {8-(-4)}/2 = {8+4i}/2 = 12i/2 = 6i
Just move the decimal 2 spots to the left. 12.39%= .1239