3 years ago

Which one of the following data sets has more than one mode?

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

The answer is (D) hope the is helps

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A 12-inch ruler is divided into three parts. The largest part is three times as a long as the smallest. The middle-sized part is

kiruha [24]

Answer:

the smallest part is 2

Step-by-step explanation:

lets take x as the smallest part

then the largest part=3x

the middle sized part=2x

x+2x+3x=12

6x=12

x=12/6

x=2

therefore the smallest part is equal to 2

5 0

3 years ago

Use the Quadratic Formula to solve the equation 4x^2−7=4x.

tino4ka555 [31]

Answer:

$\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}$

Step-by-step explanation:

$\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2$