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3 years ago

Which two values of X are roots of the polynomial below 4x^2-6x+1

1 answer:

5 0

$4x^2-6x+1=0\\\\a=4,\ b=-6,\ c=1\\\\\Delta=b^2-4ac\\\\\Delta=(-6)^2-4(4)(1)=36-16=20\\\\\sqrt\Delta=\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a},\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-(-6)-2\sqrt5}{2\cdot4}=\dfrac{3-\sqrt5}{4}\\\\x_2=\dfrac{-(-6)+2\sqrt5}{2\cdot4}=\dfrac{3+\sqrt5}{4}$

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While going on a field trip, a busload od 54 students will have to be split up into three groups. Two thirds will go into lunch

Helen [10]

Number of students on the bus = 54

Students who will go to lunch first are = $\frac{2}{3}$ of 54

= $\frac{2}{3}\times54=36$

Hence, 36 students will go first for lunch.

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2 years ago

A train leaves Chicago traveling west at 60 miles per hour.An hour later,at 12 noon,another train leaves Chicago traveling east

KatRina [158]

60t +60 = 80t

subtract 60t from both sides of=

20t = 60

t = 3

The two trains are the same distance from Chicago at 3pm, at that time both trains will have covered 240 miles

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2 years ago

50 points!! Please help!! Will mark brainliest and random answers will be reported

Triss [41]

Answer:

In the above figure

both the sides are equal then angle between them will also equal

so,

(2x+2) + (2x+2) + (3x+1) = 180

7x + 5 = 180

7x = 175 

x = 175/7

x = 25

hence angle will (25 *2) +2 =52

other angle is( 25*3)+1 = 76

hope it helps and your day will fine

6 0

2 years ago

\A and \B are supplementary angles. If m\A= (3x – 23) and m

mrs_skeptik [129]

2 supplementary angles when added together need to equal 180 degrees.

Add:

3x-23 + 2x-12 = 180

Simplify:

5x -35 = 180

Add 35 to both sides:

5x = 215

Divide both sides by 5:

X = 43

Now replace x with 43 in the equation for angle b:

2(43) -12 = 86-12 = 74 degrees

Angle B = 74 degrees

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2 years ago

What is 6 : 8 = n : 12

bonufazy [111]

Answer:

6/8 = n/12

Step-by-step explanation:

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6 0

2 years ago