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3 years ago

...............what is (9x^2-3)^6

Mathematics

1 answer:

Lelu [443]3 years ago

8 0

Step 1. Factor out the common term $3$

$(3(3 x^{2}-1)^{6}$

Step 2. Use Multiplication Distributive Property: $(xy)^{a} = x^{a} y^{a}$

 $3^{6}(3 x^{2}-1)^{6}$

Step 3. Simplify $3^{6}$ to $729$

$729(3 x^{2}-1)^{6}$

Done!

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Reduce the fraction

Doss [256]

Answer:

3/5

Step-by-step explanation:

72/2 =36

120/2 =60

=36/60

36/2 = 18

60/2 = 30

=18/30

18/2=9

30/2 =15

= 9/15

9/3=3

15/3 =5

= 3/5

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3 years ago

Sarah earns $3.25 an hour stuffing envelopes. Write a rule to describe how the amount of money, m, earned is a function of the n

DENIUS [597]

Answer is 3.25h = m
That’s because Sarah’s earning 3.25 per hour so if you want to figure out how much money she’s making you can just substitute your value for h. Pls mark brainliest if possible, have a nice day

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2 years ago

In a research laboratory, a scientist measures the mass of a 1-carat diamond and finds it to be 200 milligrams, measured to the

vlada-n [284]

Answer:

$D=3.5\ gr/cm^3$

Step-by-step explanation:

Density

The density of an object of mass m and volume V is given by

$\displaystyle D=\frac{m}{V}$

It can be expressed in common units like $gr/lt, Kg/m^3, gr/cm^3$ or any other combination of proper mass [M] by volume [V] units.

The data provided in the question is

$m=200\ mg = 0.2\ gr$

$V=0.057\ cm^3$

Thus, the measured density is

$\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}$

$\boxed{D=3.5\ gr/cm^3}$

We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.

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3 years ago

Graph y=-1/2x^2-1. Identify the vertex of the graph. tell whether it is a minimum or maximum. (To clarify, 1/2 is a fraction *x^

ahrayia [7]

$y= -\frac{1}{2} x^{2}-1$ is a quadratic function, so its graph is a parabola.

Notice that the coefficient of x is 0, this always means that the axis of symmetry is the y-axis.

That is, the vertex of the parabola is in the y-axis, so the x-coordinate of the vertex is 0.

for x=0, y=-1. So the vertex is (0, -1)

The coefficient of $x^{2}$ is negative. This means that the parabola opens downwards, so the vertex is a maximum.

Answer: (0, -1) , maximum (none of the choices)

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3 years ago

A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou

GarryVolchara [31]

Cylinder Volume = π • r² • height
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height = 500 cubic inches / 3.14159 * 16
height = 9.9471839432 
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4 0

3 years ago