9. let f(x) = x2 + 3x - 4 and g(x) = x + 5. find f(x) · g(x). (1 point)
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x3 + 3x2 + 16x - 20
x3 + 5x2 + 14x – 20
x3 + 8x2 + 11x - 20
x3 + 9x2 + 19x – 20

Hey there! My name is Maggie and I’m here to help you with your homework!
This is a polynomial exercise and it’s objective is to use the distributive propriety. In theory, it means to multiply every factor in the first polynomial by the other one.

X^2 . X = x^3
X^2 . 5 = 5x^2
3X . X = 3x^2
3X . 5 = 15x
-4 . X = -4x
-4 . 5 = -20

Now remember to add every term that has X’s with the same exponents.
So, we add 5x^2 and 3x^2 and we get 8x^2.
We do the same with 15x + (-4x) = 11x
And the answer is:

x^3+8x^2+11x-20.

I hope You’ll find my answer helpful.
Have a nice day!

is represented in the graph.

Step-by-step explanation:

To find the linear inequality for the shown graph.

Steps:

Finding the equation of dotted line shown in the graph.

Equation of line is given by

where is slope of line and is y-intercept.

Given points:

Slope of the line

∴

From the given points we can see that point of y-intercept is given i.e. the point where the line intersects the y-axis  

∴

So equation of line:

Since the shaded area in the graph is above the line and the line is dotted this means that is greater than the equation of line.

So, the inequality can be given as: