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quester [9]
2 years ago
7

Find an upper limit for the zeroes 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

Mathematics
1 answer:
erik [133]2 years ago
7 0

<u>Answer-</u>

2 is the upper limit for the zeros.

<u>Solution-</u>

The given function f(x) is,

2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

For calculating the zeros,

\Rightarrow f(x)=0

\Rightarrow 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0

\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0

\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0

\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0

\Rightarrow (x-2)(x^2-1)(2x-3)=0

\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0

\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0

\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}

From all the 4 roots, it can be obtained that 2 is the greatest zero.

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Answer:

x=-2\sqrt{10}, \\x= 2\sqrt{10}

Step-by-step explanation:

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Quadrilateral BCDE is inscribed in circle A as shown. divides the quadrilateral into two triangles, ∆BCD and ∆BED. Which stateme
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2 years ago
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In the diagram, WZ=StartRoot 26 EndRoot. On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), p
geniusboy [140]

Answer: Last option.

Step-by-step explanation:

Observe the diagram.

The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:

P=WX+XY+YZ+WZ

You know the lenght of the side WZ. This is:

WZ=\sqrt{26}\ units

Notice that:

XY=WZ=\sqrt{26}\ units

Now, you must find the lenghts of the sides WX and YZ (WX=YZ)

Observe that WZ goes from 2 to -2, therefore its lenght is:

WX=YZ=2-(-2)=4\ units

Therefore, substituting values, you get that the perimeter of the paralellogram is:

P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units

3 0
2 years ago
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A patient is instructed to take three 50-mcg tablets of pergolide mesylate (Permax) daily. How many milligrams of the drug would
Black_prince [1.1K]

Answer:

The patient would receive 1.05mg of the drug weekly.

Step-by-step explanation:

First step: How many mcg of the drug would the patient receive daily?

The problem states that he takes three doses of 50-mcg a day. So

1 dose - 50mcg

3 doses - x mcg

x = 50*3

x = 150 mcg.

He takes 150mcg of the drug a day.

Second step: How many mcg of the drug would the patient receive weekly?

A week has 7 days. He takes 150mcg of the drug a day. So:

1 day - 150mcg

7 days - x mcg

x = 150*7

x = 1050mcg

He takes 1050mcg of the drug a week.

Final step: Conversion of 1050 mcg to mg

Each mg has 1000 mcg. How many mg are there in 1050 mcg? So

1mg - 1000 mcg

xmg - 1050mcg

1000x = 1050

x = \frac{1050}{1000}

x = 1.05mg

The patient would receive 1.05mg of the drug weekly.

6 0
2 years ago
June made a design with 6 equal tiles.One tile is yellow 2 tiles are blue and 3 tiles are purple. what fraction of the tiles are
lana66690 [7]

we know that

The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.

Let

N----------> total number of tiles

Y---------> number of yellow tiles

B--------> number of blue tiles

P--------> number of purple tiles

we have

N=6\\ Y=1\\ B=2\\ P=3

<u>1) Find the fraction of yellow tiles</u>

we know that

the fraction of yellow tiles is equal to

Y/N

substitute the values

1/6

<u>2) Find the fraction of purple tiles</u>

we know that

the fraction of purple tiles is equal to

P/N

substitute the values

3/6

<u>3) Find the fraction of yellow tiles or purple tiles</u>

we know that

the fraction of yellow tiles or purple tiles is equal to

(Y/N)+(P/N)=(1/6)+(3/6)=4/6=2/3

therefore

<u>the answer is</u>

2/3


3 0
2 years ago
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