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KiRa [710]
2 years ago
14

Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula bel

ow?
Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Mathematics
2 answers:
neonofarm [45]2 years ago
8 0

Answer:

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^2+bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^2-4ac} }{2a}

in this problem we have

4x^2 + 2x - 1=0

so

a=4

b=2

c=-1

substitute in the formula

x=\frac{-2(+/-)\sqrt{2^2-4(4)(-1)} }{2(4)}

therefore

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

Svet_ta [14]2 years ago
5 0

Answer:

Its a

Step-by-step explanation:

No need to read all that lol

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4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is
lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

P= 2l+3.14 (w/2)+w

Or P = 2l+2.57w\\l = \frac{P-2.57w}{2}

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

A=lw +\pi \frac{w^2}{8}

A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57

Hence we get maximum area when i derivative is 0

i.e. P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P

l = \frac{P-2.57w}{2}\\l = 0.1401P

Dimensions can be

l=0.1401P\\w =0.2801P

5 0
3 years ago
What is 23 3/8 as a decimal
Oksanka [162]
Im not smart im not that sure of my answer but 23.3
6 0
3 years ago
Read 2 more answers
What is the value of 5^3i^9?
Yakvenalex [24]

Answer:

\displaystyle 125^i

Step-by-step explanation:

<u>Extended Information </u><u>on</u><u> </u><u>the</u><u> Complex Number System</u>

\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[all\:multiples\:of\:four]

I am joyous to assist you at any time.

All work is shown above. ↑

4 0
3 years ago
From a barrel of colored marbles, you randomly select 3 blue, 2 yellow, 7 red, 8 green, and 2 purple marbles. Find the experimen
svet-max [94.6K]
My guess is D. Not for sure though. 
3 0
3 years ago
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a mountaineer climbed 1,000 feet at a rate of x feet per hour, he climbed and additional 5,000 feet at a different rate. this ra
marshall27 [118]

A mountaineer climbed 1000 feet at a rate of x feet/hour

 1000 = x ( t 1 )         eq1

  5000 = X ( t 2)        eq2     ( he climbed additional at different rate )

the rate was 10 feet / hour less than twice the first rate

 X   = 2x - 10             eq3

take eq1 and eq 2

( total time = t 1 +  t 2 =   T)

T = 1000/x  + 5000/X

but X = 2x-10

T = 1000/x   +  5000/( 2x -10)

T = 1000/x   +  5000/( 2(x-5))

T  = 1000/x   +    2500 /  (x-5)



3 0
3 years ago
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