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2 years ago

How do you factor x³-9?

Mathematics

2 answers:

bixtya [17]2 years ago

8 0

Answer:

(x² + 3)(x-3)

Step-by-step explanation:

Since the exponent is uneven you can take 2 and 1 and add them to the x's multiply to get 3 and since 9 is a perfect square you can square root it and get 3 which you put on both sides. Since the 9 is negative one of the symbols have to be negative, usually put in the second parenthesis.

Hope this helps!

muminat2 years ago

5 0

Remember SOAP. Same, opposite, always positive.
(X-3)(x^2+3x+9)
The formula is (a+b)(a^2+ab+b^2) but the pluses and minuses follow SOAP

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How do I plot a decimal on a coordinate plane?

galina1969 [7]

Answer:

To plot a decimal on a coordinate plane you plot it between the two whole numbers its close to.

Step-by-step explanation:

3 0

3 years ago

1 pt) If a parametric surface given by r1(u,v)=f(u,v)i+g(u,v)j+h(u,v)k and −4≤u≤4,−4≤v≤4, has surface area equal to 1, what is t

natta225 [31]

The area of the surface given by $\vec r_1(u,v)$ is 1. In terms of a surface integral, we have

$1=\displaystyle\int_{-4}^4\int_{-4}^4\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

By multiplying each component in $\vec r_1$ by 5, we have

$\dfrac{\partial\vec r_2(u,v)}{\partial u}=5\dfrac{\partial\vec r_1(u,v)}{\partial u}$

and the same goes for the derivative with respect to $v$ . Then the area of the surface given by $\vec r_2(u,v)$ is

$\displaystyle\int_{-4}^4\int_{-4}^425\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv=\boxed{25}$

8 0

3 years ago

What’s 4+5+6+7+8. Plzzzzzzzz

irina1246 [14]

It's 30

Hope that helped!

8 0

3 years ago

Read 2 more answers

When building a chair, a carpenter uses 2 pounds of wood and 4 ounces of glue. If the Carpenter has 8 pounds of wood and 6 ounce

Novay_Z [31]

Answer:

He can build ...

... min(floor((available wood)/(wood per chair)), floor((available glue)/(glue per chair)))

... = min(floor(6/4), floor(12/6))

... = min(1, 2) = 1

The carpenter can build ...

... e. one chair

Step-by-step explanation:

5 0

2 years ago

Sasha is cutting a cake into 42 equal-sized pieces. If 14 people want cake, then they can each have 3 slices. And if 21 people w

kupik [55]

Answer:

k = 42

the constant of proportionality in this inverse variation is 42.

Step-by-step explanation:

Let x represent the number of people that want cake

And y the number of slices each can have;

Since x is inversely proportional to y;

x = k/y .....1

Where k is the proportionality constant;

To solve for k, we will substitute any of the case scenario given into equation 1.

If 14 people want cake, then they can each have 3 slices;

x = 14 , y = 3

substituting;

14 = k/3

k = 14 × 3 = 42

k = 42

the constant of proportionality in this inverse variation is 42.

Therefore,

x = 42/y

4 0

2 years ago