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3 years ago

How to factor 5x^2 +4x -1

1 answer:

4 0

$5x^2+4x-1\\\\Method\ 1:\\\\5x^2+4x-1=5x^2+5x-x-1=5x(x+1)-1(x+1)\\=(x+1)(5x-1)\\\\5x^2+4x-1=(x+1)(5x-1)\\\\Method\ 2:\\\\5x^2+4x-1\\a=5;\ b=4;\ c=-1\\\\\Delta=b^2-4ac\\\\\Delta=4^2-4\cdot5\cdot(-1)=16+20=36 \ \textgreater \ 0\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{36}=6\\\\x_1=\dfrac{-4-6}{2\cdot5}=\dfrac{-10}{10}=-1\\\\x_2=\dfrac{-4+6}{2\cdot5}=\dfrac{2}{10}=0.2\\\\5x^2+4x-1=5(x-0.2)(x+1)=(5x-1)(x+1)$

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P- (-1,7) Q-(2,7) R-(7,-3) S-(-4,-4)

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2 years ago

christine baked 55 with 11 scoups of flour, how many scoups of flour does christine need in order to bake 70 cookies

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2 years ago

Solve. if there is more than one solution, separate them with comas. (y-4)(y+7)=0

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Answer:

y= 4

Step-by-step explanation:

(y-4) (y+7)=0

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1 year ago

A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of th

SCORPION-xisa [38]

Answer: $V=0.0028278\ m^3$

Step-by-step explanation:

Given

Length of the pipe $l=4\ m$

Inside diameter of the pipe $d_i=4\ cm$

Outside diameter of the pipe $d_o=5\ cm$

Volume of the pipe

$\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3$

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2 years ago

According to scientific research, the probability that a person between the ages of 20 and 25 having high blood pressure, is onl

boyakko [2]

Answer:

<h2>The probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ + ${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ + ${\frac{83}{100} }^{10}$ .</h2>

Step-by-step explanation:

The probability of having high blood pressure is 17%.

We need to find the probability of 2 or fewer have high blood pressure.

Possibility 1: No one have high blood pressure.

The probability is ${\frac{100 -17}{100} }^{10} = {\frac{83}{100} }^{10}$ .

Possibility 2: Only one have high blood pressure.

The probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ .

Possibility 3: 2 among the 10 have the high blood pressure.

${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ .

Any of the possibilities can happen.

Hence, the required probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ + ${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ + ${\frac{83}{100} }^{10}$ .

4 0

3 years ago