(x)^3(-x^3y)^2please help

Mathematics

1 answer:

julsineya [31]3 years ago

4 0

Answer:

$\large\boxed{(x^3)(-x^3y)^2=x^9y^2}$

Step-by-step explanation:

$(x^3)(-x^3y)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=(x^3)(-x^3)^2(y^2)\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=(x^3)(x^6)(y^2)\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{3+6}y^2\\\\=x^9y^2$

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2x = 17 is a linear function<br> True<br> False

xz_007 [3.2K]

Answer:

False

Step-by-step explanation:

a linear function is always in the form y=(f)x=bx+a

That means that there will not be one set answer and the line can be graphed. Your question is an equation, but not a linear one because there is only one set answer which would be 17/2=8.5.

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Can anyone help me out with this please

musickatia [10]

First, let's factor the equation to make it easier to solve for the intercepts:

f(x) = x² + 12x + 32
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0 = (x + 8)(x + 4)
x = -8, -4

Similarly, to find the y-intercept, set the x values to 0:

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3 years ago

The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?

saul85 [17]

Answer:

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

$(2n)+(2n+2)+(2n+4)=114$