First factor (x square -36), the answer will be (x+6)(x-6).
Second, cancel the x .
6x/ (x+6)(x-6)
4x/(6)(-6)
4x/-36
The answer is D, (x + 1) (x + 2) (x - 3)
Answer:
288 Cubic Inches
Step-by-step explanation:
Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.
First, do Base x Width x Height for the volume of the box.
10 inches x 3 inches x 1 foot (1 foot is 12 inches)
10 x 3 x 12 = 360
Now, take 80% of 360 cubic inches.
80% is 0.8 times a number
0.8 x 360 = 288
288 Cubic Inches
Answer:
a. 
Step-by-step explanation:
The given equation is;

To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.
The corresponding function is

The solution to
is where the graph touches the x-axis.
We can see from the graph that; the x-intercepts are;
(-1,0),(3,0) and (6,0).
Therefore the real solutions are:

Consider the function

, which has derivative

.
The linear approximation of

for some value

within a neighborhood of

is given by

Let

. Then

can be estimated to be

![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since

for

, it follows that

must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function

. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...