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Solve for x:
3 x^2-16 = 0

Add 16 to both sides:
3 x^2 = 16

Divide both sides by 3:
x^2 = 16/3

Take the square root of both sides:
Answer: | 
| x = 4/sqrt(3)            or x = -4/sqrt(3)

Thanks! This also helped: https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/v/ex3-completing-the-square

y = ax^2 + bx + c     complete the square

y - c = ax^2 + bx

y - c  = a(x^2 + (b/a)x )

y - c + a(b^2/[ 4a^2])  = a(x^2 + (b/a)x + (b^2/[4a^2] )

y - c + a(b^2 / [ 4a^2]) = a( x + [b/(2a)] ) ^2

y - c + a(b^2 / [ 4a^2]) = a( x - [ -b/(2a) ] ) ^2

y = a( x - [ -b/(2a) ] ) ^2  - a(b^2 /[ 4a^2]) + c    

y= a(x - [ -b/(2a)])^2 -  b^2/(4a) + c                                     (1)

Remember that [-b/(2a)]  is the x coordinate of the vertex  = h

And substituting this into y =ax^2 + bx + c  .....we can find the y coordinate of the vertex = k, thusly :

y = a[-b/(2a)]^2 + b[-b/(2a)] + c   = k

y = b^2/ [4a] - [2b^2/ (4a)] + c  = k

y =  -  b^2/ (4a) + c  = k

And substituting  -b/(2a)  = h     and  -b^2/(4a) + c  = k  into (1), we have

y =  a (x - h)^2  + k

4^10=1,048,576

Find the derivative of the following via implicit differentiation:
d/dx(y) = d/dx(8+4 x)
The derivative of y is y'(x):
y'(x) = d/dx(8+4 x)
Differentiate the sum term by term and factor out constants:
y'(x) = d/dx(8)+4 d/dx(x)
The derivative of 8 is zero:
y'(x) = 4 (d/dx(x))+0
Simplify the expression:
y'(x) = 4 (d/dx(x))
The derivative of x is 1:
y'(x) = 1 4
Simplify the expression:
y'(x) = 4
Expand the left hand side:
Answer: | 
| y'(x) = 4

4. my god, you idiot... that is SO easy.

5 2/3 ÷ -1/3

Turn 5 2/3 into an improper fraction

17/3 ÷ -1/3

Use the reiprocal

17/3 x 3/-1

Multiply across

51/-3

Simplify

-7

There's your answer :)

The slope is 4... The equation is written in the form y=mx+b, so the number that is right behing x, or 'm' is always the slope.

THANK YOUUU!!!

Since the volume of a cube is s^3, s being the side. Therefore

3^3=27 cubic cm. the volume od the cube. But the mass of this cube is 243 grams, therefore:

Density=mass/volume

Density=243/27=9 grams/cm^3

Volume of a sphere is=4/3.Pi.r^3, r=radius, But we have:

Mass=Volume X Density

Mass=4/3.Pi.r^3.9, therefore,

r^3=Mass/(4/3.Pi.9) =243/(4/3.3.141592.9)=37.7cm, so

r^3=37.7cm^3

r=3.35cm-radius of a 243g sphere of copper.

50g=4/3.Pi.r^3.9

r=1.10cm-radius of 50g sphere of copper.

Changing the material would change the function, because its density would be different.

.3125 X 10000/10000=3125/10000 divide both sides by 625=5/16, so:

.3125=5/16

9+10=21

bruh

$12,000 invested at 5% p.a for 6 years

FV=12,000(1 +.05)^6=$16,081.15

2+2=4

Sally will have one apple left.

$2.88/4=.72 cents for 1/4 pound of rice crackers.

$ 2.88 / 4   = 72 cents

.17 meters, when she planted it. 10 years later it is 100x taller, therefore,

.17 X 100=17 meters-the height of the tree after 10 years.

100 x 0.17m   = 17m  tall after 10 years

r= compounded monthly, therefore,

.045/12=0.00375

As a result of this minor change, it will take 20.4 years, or 20 years and about 5 months for a $1,000 to grow to $2,500.

Sorry jeanne...I mis-read that....see my edited answer

We have the points  ( -4, 0)  and ( 0, 2)   

And the slope of this line =

[  2 - 0 ] / [ 0 - -4]  =  2/4   = 1/2

And we have

y  = (1/2)(x - -4)

y  = (1/2)(x + 4)

y = (1/2)x + 2

why 2t?

Should n be 2 or 12 if it is compunded monthly?