Can someone help with #12 please

Mathematics

1 answer:

ankoles [38]4 years ago

3 0

12.

x^-1y^4 / 3x^-5y-1
= x^(-1+5) y^(4+1) / 3
= x^4 y^5 / 3

answer
1.
x^4 y^5 / 3

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The Length of the Given Sign = 90 inches

The Side of the Triangle can be found by Pythagorean Theorem

⇒ (Side of the Triangle)² = 40² + 30²

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The degree of the polynomial function f(x) is 3. The roots of the equation f(x)=0 are −4 , 0, and 2. Which graph could be the gr

KATRIN_1 [288]

We know that the polynomial function is of degree 3, and that its roots are -4, 0, 2.

With this data we can write a generic equation for the function:

f (x) = bx (x + 4) (x-2)

Since the function is of degree 3 and cuts the axis at x = 0, then it has rotational symmetry with respect to the origin.

The graph of the function can be of two main forms, based on the value of the coefficient b.

If b is positive then the function grows from y = -infinite and cuts the x-axis for the first time in -4. Then it decreases, cuts at x = 0 and begins to grow again cutting the x-axis for the third time at x = 2. and continues to grow until y = infnit

If b is negative, then the function decreases from y = infinity and cuts the x-axis for the first time in -4. Then it grows, cuts at x = 0 and begins to decrease again by cutting the x-axis for the third time at x = 2, and continues to decrease until y = -infnit.

In the attached images the graphs of the function f (x) are shown assuming b = -1 and b = 1